diff --git a/alembic/versions/0058_tag_head.py b/alembic/versions/0058_tag_head.py
new file mode 100644
index 0000000..7ff45f6
--- /dev/null
+++ b/alembic/versions/0058_tag_head.py
@@ -0,0 +1,95 @@
+"""tag_head + head_training_run: production heads that learn from tags (#114)
+
+The eval (#1130) proved the frozen-embedding + trained-head spine; this lands its
+production form. tag_head stores one logistic-regression head per concept (the
+new suggestion source, replacing Camie + centroid); head_training_run tracks the
+batch that (re)trains them. Adds two head-training tunables to ml_settings.
+
+Revision ID: 0058
+Revises: 0057
+Create Date: 2026-06-28
+"""
+from typing import Sequence, Union
+
+import sqlalchemy as sa
+from alembic import op
+from pgvector.sqlalchemy import Vector
+from sqlalchemy.dialects.postgresql import JSONB
+
+revision: str = "0058"
+down_revision: Union[str, None] = "0057"
+branch_labels: Union[str, Sequence[str], None] = None
+depends_on: Union[str, Sequence[str], None] = None
+
+_HEAD_DIM = 1152
+
+
+def upgrade() -> None:
+    op.create_table(
+        "tag_head",
+        sa.Column(
+            "tag_id", sa.Integer(),
+            sa.ForeignKey("tag.id", ondelete="CASCADE"), primary_key=True,
+        ),
+        sa.Column("embedding_version", sa.String(length=128), nullable=False),
+        sa.Column("weights", Vector(_HEAD_DIM), nullable=False),
+        sa.Column("bias", sa.Float(), nullable=False),
+        sa.Column("suggest_threshold", sa.Float(), nullable=False),
+        sa.Column("auto_apply_threshold", sa.Float(), nullable=True),
+        sa.Column("n_pos", sa.Integer(), nullable=False),
+        sa.Column("n_neg", sa.Integer(), nullable=False),
+        sa.Column("ap", sa.Float(), nullable=False),
+        sa.Column("precision_cv", sa.Float(), nullable=False),
+        sa.Column("recall", sa.Float(), nullable=False),
+        sa.Column(
+            "trained_at", sa.DateTime(timezone=True), nullable=False,
+            server_default=sa.func.now(),
+        ),
+        sa.Column("metrics", JSONB(), nullable=True),
+    )
+
+    op.create_table(
+        "head_training_run",
+        sa.Column("id", sa.Integer(), primary_key=True),
+        sa.Column("params", JSONB(), nullable=False),
+        sa.Column(
+            "status", sa.String(length=16), nullable=False,
+            server_default="running",
+        ),
+        sa.Column(
+            "started_at", sa.DateTime(timezone=True), nullable=False,
+            server_default=sa.func.now(),
+        ),
+        sa.Column("finished_at", sa.DateTime(timezone=True), nullable=True),
+        sa.Column("n_trained", sa.Integer(), nullable=True),
+        sa.Column("n_skipped", sa.Integer(), nullable=True),
+        sa.Column("error", sa.Text(), nullable=True),
+        sa.Column("last_progress_at", sa.DateTime(timezone=True), nullable=True),
+    )
+    op.create_index(
+        "ix_head_training_run_status", "head_training_run", ["status"],
+    )
+
+    # Head-training tunables on the ml_settings singleton.
+    op.add_column(
+        "ml_settings",
+        sa.Column(
+            "head_min_positives", sa.Integer(), nullable=False,
+            server_default="8",
+        ),
+    )
+    op.add_column(
+        "ml_settings",
+        sa.Column(
+            "head_auto_apply_precision", sa.Float(), nullable=False,
+            server_default="0.97",
+        ),
+    )
+
+
+def downgrade() -> None:
+    op.drop_column("ml_settings", "head_auto_apply_precision")
+    op.drop_column("ml_settings", "head_min_positives")
+    op.drop_index("ix_head_training_run_status", table_name="head_training_run")
+    op.drop_table("head_training_run")
+    op.drop_table("tag_head")
diff --git a/backend/app/api/__init__.py b/backend/app/api/__init__.py
index e0794e9..f39a966 100644
--- a/backend/app/api/__init__.py
+++ b/backend/app/api/__init__.py
@@ -25,6 +25,7 @@ def all_blueprints() -> list[Blueprint]:
     from .downloads import downloads_bp
     from .extension import extension_bp
     from .gallery import gallery_bp
+    from .heads import heads_bp
     from .import_admin import import_admin_bp
     from .ml_admin import ml_admin_bp
     from .platforms import platforms_bp
@@ -58,6 +59,7 @@ def all_blueprints() -> list[Blueprint]:
         allowlist_bp,
         aliases_bp,
         tag_eval_bp,
+        heads_bp,
         ml_admin_bp,
         thumbnails_bp,
         sources_bp,
diff --git a/backend/app/api/heads.py b/backend/app/api/heads.py
new file mode 100644
index 0000000..018ee2c
--- /dev/null
+++ b/backend/app/api/heads.py
@@ -0,0 +1,118 @@
+"""Heads API (#114): train + inspect the per-concept heads that power
+suggestions (replacing Camie + centroid).
+
+POST /api/heads/train   — (re)train all eligible heads (one run at a time).
+GET  /api/heads         — status: head count, last-trained, running run, the
+                          per-concept head table (strength + auto-apply ready),
+                          and recent training runs. The card rehydrates from
+                          here so status survives navigation.
+"""
+
+from quart import Blueprint, jsonify, request
+from sqlalchemy import desc, func, select
+
+from ..extensions import get_session
+from ..models import HeadTrainingRun, Tag, TagHead
+from ..services.ml.heads import HeadTrainingAlreadyRunning, start_head_training_run
+
+heads_bp = Blueprint("heads", __name__, url_prefix="/api/heads")
+
+
+def _serialize_run(run: HeadTrainingRun) -> dict:
+    return {
+        "id": run.id,
+        "params": run.params,
+        "status": run.status,
+        "started_at": run.started_at.isoformat() if run.started_at else None,
+        "finished_at": run.finished_at.isoformat() if run.finished_at else None,
+        "n_trained": run.n_trained,
+        "n_skipped": run.n_skipped,
+        "error": run.error,
+    }
+
+
+@heads_bp.route("/train", methods=["POST"])
+async def train():
+    body = await request.get_json(silent=True) or {}
+    params = body.get("params") or body or {}
+    async with get_session() as session:
+        try:
+            run_id = await session.run_sync(
+                lambda s: start_head_training_run(s, params)
+            )
+        except HeadTrainingAlreadyRunning as running:
+            return jsonify({
+                "error": "training_already_running",
+                "running_id": int(running.args[0]),
+            }), 409
+        await session.commit()
+    return jsonify({"run_id": run_id, "status": "running"}), 202
+
+
+@heads_bp.route("", methods=["GET"])
+async def status():
+    async with get_session() as session:
+        count, last_trained = (
+            await session.execute(
+                select(func.count(), func.max(TagHead.trained_at))
+            )
+        ).one()
+        graduated = (
+            await session.execute(
+                select(func.count()).where(
+                    TagHead.auto_apply_threshold.is_not(None)
+                )
+            )
+        ).scalar_one()
+        running = (
+            await session.execute(
+                select(HeadTrainingRun.id)
+                .where(HeadTrainingRun.status == "running")
+                .order_by(HeadTrainingRun.id.desc())
+                .limit(1)
+            )
+        ).scalar_one_or_none()
+        runs = (
+            await session.execute(
+                select(HeadTrainingRun)
+                .order_by(HeadTrainingRun.id.desc())
+                .limit(10)
+            )
+        ).scalars().all()
+        # The per-concept table: strongest first, capped for the admin card.
+        head_rows = (
+            await session.execute(
+                select(
+                    TagHead.tag_id, Tag.name, Tag.kind,
+                    TagHead.n_pos, TagHead.n_neg, TagHead.ap,
+                    TagHead.precision_cv, TagHead.recall,
+                    TagHead.auto_apply_threshold, TagHead.trained_at,
+                )
+                .join(Tag, Tag.id == TagHead.tag_id)
+                .order_by(desc(TagHead.ap))
+                .limit(500)
+            )
+        ).all()
+        heads = [
+            {
+                "tag_id": r.tag_id,
+                "name": r.name,
+                "category": r.kind.value if hasattr(r.kind, "value") else str(r.kind),
+                "n_pos": r.n_pos,
+                "n_neg": r.n_neg,
+                "ap": r.ap,
+                "precision": r.precision_cv,
+                "recall": r.recall,
+                "auto_apply": r.auto_apply_threshold is not None,
+                "trained_at": r.trained_at.isoformat() if r.trained_at else None,
+            }
+            for r in head_rows
+        ]
+    return jsonify({
+        "head_count": count,
+        "graduated_count": graduated,
+        "last_trained_at": last_trained.isoformat() if last_trained else None,
+        "running_id": running,
+        "runs": [_serialize_run(r) for r in runs],
+        "heads": heads,
+    })
diff --git a/backend/app/api/ml_admin.py b/backend/app/api/ml_admin.py
index b3e8d94..a3d3b74 100644
--- a/backend/app/api/ml_admin.py
+++ b/backend/app/api/ml_admin.py
@@ -17,6 +17,8 @@ _EDITABLE = (
     "video_frame_interval_seconds",
     "video_max_frames",
     "video_min_tag_frames",
+    "head_min_positives",
+    "head_auto_apply_precision",
 )
 
 
@@ -40,6 +42,8 @@ async def get_settings():
             "video_min_tag_frames": s.video_min_tag_frames,
             "tagger_model_version": s.tagger_model_version,
             "embedder_model_version": s.embedder_model_version,
+            "head_min_positives": s.head_min_positives,
+            "head_auto_apply_precision": s.head_auto_apply_precision,
         }
     )
 
@@ -100,6 +104,11 @@ def _validate(p: dict) -> str | None:
         return "video_min_tag_frames must be >= 1"
     if p["video_min_tag_frames"] > p["video_max_frames"]:
         return "video_min_tag_frames cannot exceed video_max_frames"
+    # Head training (#114).
+    if int(p["head_min_positives"]) < 1:
+        return "head_min_positives must be >= 1"
+    if not (0.5 <= float(p["head_auto_apply_precision"]) <= 0.999):
+        return "head_auto_apply_precision must be between 0.5 and 0.999"
     return None
 
 
diff --git a/backend/app/api/suggestions.py b/backend/app/api/suggestions.py
index 46fa2e5..7a5ca1d 100644
--- a/backend/app/api/suggestions.py
+++ b/backend/app/api/suggestions.py
@@ -61,6 +61,10 @@ async def get_suggestions(image_id: int):
                         # modal's "Treat as alias"/"Remove alias" affordances.
                         "raw_name": s.raw_name,
                         "via_alias": s.via_alias,
+                        # operator dismissed this tag for this image — surfaced
+                        # (not dropped) so the rail can show it rejected + offer
+                        # one-click un-reject.
+                        "rejected": s.rejected,
                     }
                     for s in items
                 ]
@@ -131,6 +135,21 @@ async def dismiss_suggestion(image_id: int):
     return "", 204
 
 
+@suggestions_bp.route(
+    "/images/<int:image_id>/suggestions/undismiss", methods=["POST"]
+)
+async def undismiss_suggestion(image_id: int):
+    """Reverse a per-image dismissal (reject-recovery). Idempotent — undoing a
+    tag that isn't rejected is a no-op delete."""
+    body = await request.get_json()
+    if not body or "tag_id" not in body:
+        return jsonify({"error": "tag_id required"}), 400
+    async with get_session() as session:
+        await AllowlistService(session).undismiss(image_id, body["tag_id"])
+        await session.commit()
+    return "", 204
+
+
 @suggestions_bp.route("/suggestions/bulk", methods=["POST"])
 async def bulk_suggestions():
     body = await request.get_json()
diff --git a/backend/app/celery_app.py b/backend/app/celery_app.py
index aba2a18..be1b368 100644
--- a/backend/app/celery_app.py
+++ b/backend/app/celery_app.py
@@ -160,6 +160,10 @@ def make_celery() -> Celery:
                 "task": "backend.app.tasks.maintenance.recover_stalled_tag_eval_runs",
                 "schedule": 300.0,
             },
+            "recover-stalled-head-training-runs": {
+                "task": "backend.app.tasks.maintenance.recover_stalled_head_training_runs",
+                "schedule": 300.0,
+            },
             "recover-stalled-import-batches": {
                 "task": "backend.app.tasks.maintenance.recover_stalled_import_batches",
                 "schedule": 300.0,
diff --git a/backend/app/models/__init__.py b/backend/app/models/__init__.py
index 660a303..04025ed 100644
--- a/backend/app/models/__init__.py
+++ b/backend/app/models/__init__.py
@@ -8,6 +8,7 @@ from .base import Base
 from .credential import Credential
 from .download_event import DownloadEvent
 from .external_link import ExternalLink
+from .head_training_run import HeadTrainingRun
 from .image_prediction import ImagePrediction
 from .image_provenance import ImageProvenance
 from .image_record import ImageRecord
@@ -30,6 +31,7 @@ from .tag import Tag, TagKind, image_tag
 from .tag_alias import TagAlias
 from .tag_allowlist import TagAllowlist
 from .tag_eval_run import TagEvalRun
+from .tag_head import TagHead
 from .tag_positive_confirmation import TagPositiveConfirmation
 from .tag_reference_embedding import TagReferenceEmbedding
 from .tag_suggestion_rejection import TagSuggestionRejection
@@ -65,9 +67,11 @@ __all__ = [
     "ImportSettings",
     "LibraryAuditRun",
     "MLSettings",
+    "HeadTrainingRun",
     "TagAlias",
     "TagAllowlist",
     "TagEvalRun",
+    "TagHead",
     "TagPositiveConfirmation",
     "TagReferenceEmbedding",
     "TagSuggestionRejection",
diff --git a/backend/app/models/head_training_run.py b/backend/app/models/head_training_run.py
new file mode 100644
index 0000000..150357c
--- /dev/null
+++ b/backend/app/models/head_training_run.py
@@ -0,0 +1,44 @@
+"""HeadTrainingRun — persisted lifecycle of a head-training batch (#114).
+
+Mirrors TagEvalRun so the run SURVIVES navigation and the admin card can show
+live + historical status instead of holding it in transient frontend state.
+Training is idempotent (it upserts tag_head rows), so a SIGKILL'd run is harmless
+— a maintenance recovery sweep flips a stalled `running` row to `error`, and the
+next run re-trains. State machine: running → ready / error.
+"""
+
+from datetime import datetime
+from typing import Any
+
+from sqlalchemy import DateTime, Integer, String, Text, func
+from sqlalchemy.dialects.postgresql import JSONB
+from sqlalchemy.orm import Mapped, mapped_column
+
+from .base import Base
+
+
+class HeadTrainingRun(Base):
+    __tablename__ = "head_training_run"
+
+    id: Mapped[int] = mapped_column(Integer, primary_key=True)
+    # Training parameters: {min_positives, neg_ratio, precision_target, ...}.
+    params: Mapped[dict[str, Any]] = mapped_column(JSONB, nullable=False)
+    status: Mapped[str] = mapped_column(
+        String(16), nullable=False, default="running", index=True
+    )
+    # running | ready | error
+    started_at: Mapped[datetime] = mapped_column(
+        DateTime(timezone=True), nullable=False, server_default=func.now()
+    )
+    finished_at: Mapped[datetime | None] = mapped_column(
+        DateTime(timezone=True), nullable=True
+    )
+    # How many concepts got a (re)trained head vs were skipped (too few labels).
+    n_trained: Mapped[int | None] = mapped_column(Integer, nullable=True)
+    n_skipped: Mapped[int | None] = mapped_column(Integer, nullable=True)
+    error: Mapped[str | None] = mapped_column(Text, nullable=True)
+    # Last time the task made progress — the recovery sweep tells a live run from
+    # a SIGKILL'd one by this (mirrors TagEvalRun).
+    last_progress_at: Mapped[datetime | None] = mapped_column(
+        DateTime(timezone=True), nullable=True
+    )
diff --git a/backend/app/models/ml_settings.py b/backend/app/models/ml_settings.py
index 3ae5a1b..243387a 100644
--- a/backend/app/models/ml_settings.py
+++ b/backend/app/models/ml_settings.py
@@ -55,6 +55,17 @@ class MLSettings(Base):
     video_min_tag_frames: Mapped[int] = mapped_column(
         Integer, nullable=False, default=3
     )
+    # Tagging-v2 head training (#114). The head is the suggestion source that
+    # LEARNS from the operator's tags (replacing Camie + centroid). A concept
+    # needs >= head_min_positives labelled images before a head is trained;
+    # head_auto_apply_precision is the precision bar a head must clear (at some
+    # operating point) to "graduate" into earned auto-apply. Operator-tunable.
+    head_min_positives: Mapped[int] = mapped_column(
+        Integer, nullable=False, default=8
+    )
+    head_auto_apply_precision: Mapped[float] = mapped_column(
+        Float, nullable=False, default=0.97
+    )
     tagger_model_version: Mapped[str] = mapped_column(
         String(128), nullable=False, default="camie-tagger-v2"
     )
diff --git a/backend/app/models/tag_head.py b/backend/app/models/tag_head.py
new file mode 100644
index 0000000..34a5bcb
--- /dev/null
+++ b/backend/app/models/tag_head.py
@@ -0,0 +1,77 @@
+"""TagHead — a small per-concept classifier trained on the operator's tags.
+
+Milestone #114, tagging-v2: the production form of the head the eval (#1130)
+proved. One row per concept (general or character) that has enough labelled
+positives. The head is a logistic-regression boundary over the FROZEN SigLIP
+embedding (L2-normalized), trained on the operator's positives + negatives
+(rejections + sampled unlabeled). It REPLACES the Camie prediction + per-tag
+centroid as the suggestion source — and unlike them it LEARNS: every accept /
+reject re-trains it sharper.
+
+Scoring (suggestion path, API worker, NO numpy): p = sigmoid(weights · x̂ + bias)
+where x̂ is the L2-normalized image embedding. Surface as a suggestion when
+p >= suggest_threshold; auto-apply only once auto_apply_threshold is set (the
+head "graduated" — a precision-targeted operating point was achievable). The
+thresholds come from CROSS-VALIDATED out-of-fold scores so they're honest, not
+in-sample-optimistic; the deployable weights are fit on all data.
+"""
+
+from datetime import datetime
+from typing import Any
+
+from pgvector.sqlalchemy import Vector
+from sqlalchemy import (
+    DateTime,
+    Float,
+    ForeignKey,
+    Integer,
+    String,
+    func,
+)
+from sqlalchemy.dialects.postgresql import JSONB
+from sqlalchemy.orm import Mapped, mapped_column
+
+from .base import Base
+
+# Matches image_record.siglip_embedding's dimensionality — the head operates in
+# the same space. A model-version change re-embeds AND retrains (embedding_version
+# guards staleness).
+HEAD_DIM = 1152
+
+
+class TagHead(Base):
+    __tablename__ = "tag_head"
+
+    # One head per concept tag; cascade so deleting a tag retires its head.
+    tag_id: Mapped[int] = mapped_column(
+        ForeignKey("tag.id", ondelete="CASCADE"), primary_key=True
+    )
+    # The embedding the head was trained against (image_record's
+    # embedder_model_version). A mismatch with the current embedder means the
+    # head is stale and must be retrained, not scored.
+    embedding_version: Mapped[str] = mapped_column(String(128), nullable=False)
+    # Logistic-regression coefficients over the L2-normalized embedding, stored
+    # as a pgvector for compactness + a future in-DB dot-product path. NOT a
+    # similarity target, just a serialized weight vector.
+    weights: Mapped[list[float]] = mapped_column(Vector(HEAD_DIM), nullable=False)
+    bias: Mapped[float] = mapped_column(Float, nullable=False)
+    # Probability cutoff for SURFACING as a suggestion (F1-best on CV scores).
+    suggest_threshold: Mapped[float] = mapped_column(Float, nullable=False)
+    # Probability cutoff for EARNED auto-apply: the operating point that holds
+    # precision >= the configured target while maximizing recall. NULL = the head
+    # hasn't graduated (can't auto-apply without a human yet).
+    auto_apply_threshold: Mapped[float | None] = mapped_column(Float, nullable=True)
+    # Training-set sizes + cross-validated quality, surfaced in the admin card so
+    # the operator can see which concepts are strong / need more tags.
+    n_pos: Mapped[int] = mapped_column(Integer, nullable=False)
+    n_neg: Mapped[int] = mapped_column(Integer, nullable=False)
+    ap: Mapped[float] = mapped_column(Float, nullable=False)
+    # 'precision' is a SQL reserved word → store as precision_cv (the
+    # cross-validated precision at the suggest operating point).
+    precision_cv: Mapped[float] = mapped_column(Float, nullable=False)
+    recall: Mapped[float] = mapped_column(Float, nullable=False)
+    trained_at: Mapped[datetime] = mapped_column(
+        DateTime(timezone=True), nullable=False, server_default=func.now()
+    )
+    # Extra detail (auto-apply operating point, F1, etc.) — non-load-bearing.
+    metrics: Mapped[dict[str, Any] | None] = mapped_column(JSONB, nullable=True)
diff --git a/backend/app/services/ml/allowlist.py b/backend/app/services/ml/allowlist.py
index 8f7d14e..857d665 100644
--- a/backend/app/services/ml/allowlist.py
+++ b/backend/app/services/ml/allowlist.py
@@ -89,6 +89,12 @@ class AllowlistService:
         )
         await self.session.execute(stmt)
 
+    async def undismiss(self, image_id: int, tag_id: int) -> None:
+        """Undo a per-image dismissal — drop the TagSuggestionRejection so the
+        suggestion reverts to a live (un-rejected) state. Backs the rail's
+        one-click reject-recovery (operator-asked 2026-06-27)."""
+        await self._clear_rejection(image_id, tag_id)
+
     async def reject_applied_tag(self, image_id: int, tag_id: int) -> None:
         """Operator removed an applied tag from an image. Remove the
         image_tag row AND record a rejection so the allowlist won't
diff --git a/backend/app/services/ml/heads.py b/backend/app/services/ml/heads.py
new file mode 100644
index 0000000..aed4e69
--- /dev/null
+++ b/backend/app/services/ml/heads.py
@@ -0,0 +1,330 @@
+"""Production heads: train + score the per-concept classifiers (#114).
+
+The eval (#1130, tag_eval.py) proved the spine; this is its production form.
+- TRAIN (sync, ml worker — needs scikit-learn): for every general/character tag
+  with enough labelled positives, fit a logistic-regression head on the FROZEN
+  SigLIP embeddings (positives + negatives = rejections + sampled unlabeled),
+  derive an honest suggest threshold + earned-auto-apply point from CROSS-
+  VALIDATED scores, and upsert a TagHead row. Reuses tag_eval's proven data
+  loaders + metric helpers so production heads match the eval's measured numbers.
+- SCORE (async, API worker — numpy via pgvector, NO scikit-learn): score one
+  image's embedding against all current heads → the suggestions the rail shows,
+  REPLACING Camie predictions + per-tag centroids.
+
+scikit-learn is imported lazily inside the train path so the API worker can still
+import this module to enqueue training + to score (scoring needs only numpy).
+"""
+
+from __future__ import annotations
+
+import logging
+from datetime import UTC, datetime
+from typing import Any
+
+from sqlalchemy import delete, func, select
+from sqlalchemy.ext.asyncio import AsyncSession
+from sqlalchemy.orm import Session
+
+from ...models import (
+    HeadTrainingRun,
+    ImageRecord,
+    MLSettings,
+    Tag,
+    TagHead,
+    TagKind,
+)
+from ...models.tag import image_tag
+from .tag_eval import (
+    _auto_apply_point,
+    _ids_with_tag,
+    _l2norm,
+    _load_embeddings,
+    _metrics_from_scores,
+    _rejected_ids,
+    _safe_folds,
+    _sample_unlabeled,
+)
+
+log = logging.getLogger(__name__)
+
+DEFAULT_NEG_RATIO = 3
+DEFAULT_CV_FOLDS = 5
+MIN_POSITIVES_FLOOR = 8     # hard floor; settings.head_min_positives can raise it
+_UNLABELED_POOL = 4000
+_EXAMPLES_MIN = 8           # need at least this many embedded +/- to fit a head
+
+# Only these tag kinds get heads (the surfaced suggestion categories).
+_HEAD_KINDS = (TagKind.general, TagKind.character)
+# tag.kind -> the suggestion category the rail groups under.
+_CATEGORY = {TagKind.general: "general", TagKind.character: "character"}
+
+
+class HeadTrainingAlreadyRunning(Exception):
+    """Raised by start_head_training_run when a run is already in flight."""
+
+
+def start_head_training_run(session: Session, params: dict[str, Any]) -> int:
+    """Create a HeadTrainingRun (status='running') + dispatch the ml-queue task.
+    Returns the run id. One training run at a time (light guard)."""
+    existing = session.execute(
+        select(HeadTrainingRun.id).where(HeadTrainingRun.status == "running")
+    ).scalar_one_or_none()
+    if existing is not None:
+        raise HeadTrainingAlreadyRunning(existing)
+    norm = _normalize_params(session, params)
+    run = HeadTrainingRun(
+        params=norm, status="running", last_progress_at=datetime.now(UTC)
+    )
+    session.add(run)
+    session.flush()
+    run_id = run.id
+    from ...tasks.ml import train_heads as _task
+    _task.delay(run_id)
+    return run_id
+
+
+def _settings(session: Session) -> MLSettings:
+    return session.execute(
+        select(MLSettings).where(MLSettings.id == 1)
+    ).scalar_one()
+
+
+def _normalize_params(session: Session, params: dict[str, Any] | None) -> dict[str, Any]:
+    params = params or {}
+    s = _settings(session)
+    try:
+        min_pos = max(MIN_POSITIVES_FLOOR, int(params.get("min_positives", s.head_min_positives)))
+    except (TypeError, ValueError):
+        min_pos = max(MIN_POSITIVES_FLOOR, s.head_min_positives)
+    try:
+        neg_ratio = max(1, int(params.get("neg_ratio", DEFAULT_NEG_RATIO)))
+    except (TypeError, ValueError):
+        neg_ratio = DEFAULT_NEG_RATIO
+    try:
+        cv_folds = max(2, int(params.get("cv_folds", DEFAULT_CV_FOLDS)))
+    except (TypeError, ValueError):
+        cv_folds = DEFAULT_CV_FOLDS
+    try:
+        precision_target = min(max(float(params.get("precision_target", s.head_auto_apply_precision)), 0.5), 0.999)
+    except (TypeError, ValueError):
+        precision_target = s.head_auto_apply_precision
+    return {
+        "min_positives": min_pos,
+        "neg_ratio": neg_ratio,
+        "cv_folds": cv_folds,
+        "precision_target": round(precision_target, 4),
+    }
+
+
+def _embedder_version(session: Session) -> str:
+    return _settings(session).embedder_model_version
+
+
+def _eligible_tag_ids(session: Session, min_pos: int) -> list[int]:
+    """Concept tags (general/character) with >= min_pos labelled images — the
+    set that gets a head. Counts all sources; source-aware filtering (#1133) is
+    a separate, optional refinement."""
+    rows = session.execute(
+        select(Tag.id)
+        .join(image_tag, image_tag.c.tag_id == Tag.id)
+        .where(Tag.kind.in_(_HEAD_KINDS))
+        .group_by(Tag.id)
+        .having(func.count(image_tag.c.image_record_id) >= min_pos)
+    ).all()
+    return [r[0] for r in rows]
+
+
+def train_all_heads(
+    session: Session, params: dict[str, Any], run: HeadTrainingRun | None = None
+) -> dict[str, int]:
+    """(Re)train a head for every eligible concept; prune heads whose tag is no
+    longer eligible. Commits per head so a SIGKILL leaves trained heads durable
+    (training is idempotent). Returns {n_trained, n_skipped}."""
+    import numpy as np
+
+    cfg = _normalize_params(session, params)
+    embedding_version = _embedder_version(session)
+    eligible = _eligible_tag_ids(session, cfg["min_positives"])
+    eligible_set = set(eligible)
+    trained = 0
+    skipped = 0
+    for i, tag_id in enumerate(eligible):
+        try:
+            ok = train_head(session, tag_id, embedding_version, cfg, np)
+        except Exception:
+            log.exception("train_head failed for tag %d", tag_id)
+            ok = False
+        session.commit()
+        trained += int(ok)
+        skipped += int(not ok)
+        if run is not None and i % 10 == 0:
+            run.last_progress_at = datetime.now(UTC)
+            session.commit()
+    # Retire heads whose concept dropped out of the eligible set (lost its
+    # positives, or the tag was re-kinded) so stale heads can't keep suggesting.
+    if eligible_set:
+        session.execute(delete(TagHead).where(TagHead.tag_id.not_in(eligible_set)))
+    else:
+        session.execute(delete(TagHead))
+    session.commit()
+    return {"n_trained": trained, "n_skipped": skipped}
+
+
+def train_head(
+    session: Session, tag_id: int, embedding_version: str, cfg: dict, np
+) -> bool:
+    """Fit + upsert one head. Returns True if a head was written, False if the
+    concept had too few usable examples to train (the row is then removed)."""
+    from sklearn.linear_model import LogisticRegression
+    from sklearn.model_selection import StratifiedKFold, cross_val_predict
+
+    pos_ids = _ids_with_tag(session, tag_id)
+    if len(pos_ids) < cfg["min_positives"]:
+        session.execute(delete(TagHead).where(TagHead.tag_id == tag_id))
+        return False
+
+    pos_set = set(pos_ids)
+    rejected = [i for i in _rejected_ids(session, tag_id) if i not in pos_set]
+    want_neg = max(len(pos_ids) * cfg["neg_ratio"], _EXAMPLES_MIN * 4)
+    sampled = _sample_unlabeled(
+        session, pos_set | set(rejected), min(_UNLABELED_POOL, want_neg)
+    )
+    neg_ids = rejected + [i for i in sampled if i not in pos_set]
+
+    emb = _load_embeddings(session, pos_ids + neg_ids)
+    pos = [emb[i] for i in pos_ids if i in emb]
+    neg = [emb[i] for i in neg_ids if i in emb]
+    if len(pos) < _EXAMPLES_MIN or len(neg) < _EXAMPLES_MIN:
+        session.execute(delete(TagHead).where(TagHead.tag_id == tag_id))
+        return False
+
+    X = np.vstack(pos + neg).astype(np.float32)
+    y = np.array([1] * len(pos) + [0] * len(neg))
+    Xn = _l2norm(X, np)
+
+    clf = LogisticRegression(max_iter=1000, class_weight="balanced")
+    cv = StratifiedKFold(
+        n_splits=_safe_folds(y, cfg["cv_folds"], np), shuffle=True, random_state=0
+    )
+    # Honest thresholds from out-of-fold scores; deployable weights from a final
+    # fit on ALL the data.
+    cv_probs = cross_val_predict(clf, Xn, y, cv=cv, method="predict_proba")[:, 1]
+    metrics = _metrics_from_scores(y, cv_probs, np)
+    auto = _auto_apply_point(y, cv_probs, cfg["precision_target"], np)
+    clf.fit(Xn, y)
+
+    head = session.get(TagHead, tag_id)
+    if head is None:
+        head = TagHead(tag_id=tag_id)
+        session.add(head)
+    head.embedding_version = embedding_version
+    head.weights = clf.coef_[0].astype(np.float32).tolist()
+    head.bias = float(clf.intercept_[0])
+    head.suggest_threshold = float(metrics["threshold"])
+    head.auto_apply_threshold = float(auto["threshold"]) if auto else None
+    head.n_pos = len(pos)
+    head.n_neg = len(neg)
+    head.ap = float(metrics["ap"])
+    head.precision_cv = float(metrics["precision"])
+    head.recall = float(metrics["recall"])
+    head.trained_at = datetime.now(UTC)
+    head.metrics = {"f1": metrics["f1"], "auto_apply": auto}
+    return True
+
+
+# --- Scoring (async, API worker) -----------------------------------------
+# Score one image against every current head to produce the rail's suggestions.
+# A tiny in-process cache holds the stacked weight matrix keyed on (count,
+# max(trained_at)) so a retrain invalidates it without per-request weight loads.
+_HEADS_CACHE: dict[str, Any] = {"key": None, "heads": None}
+
+
+async def _current_heads(session: AsyncSession, embedding_version: str):
+    """Stacked (W, b, thresholds, tag_id/name/category) for heads matching the
+    current embedding, cached until the next retrain."""
+    import numpy as np
+
+    sig = (
+        await session.execute(
+            select(func.count(), func.max(TagHead.trained_at)).where(
+                TagHead.embedding_version == embedding_version
+            )
+        )
+    ).one()
+    key = f"{embedding_version}:{sig[0]}:{sig[1].isoformat() if sig[1] else '-'}"
+    cached = _HEADS_CACHE.get("heads")
+    if cached is not None and _HEADS_CACHE.get("key") == key:
+        return cached
+    rows = (
+        await session.execute(
+            select(
+                TagHead.tag_id, Tag.name, Tag.kind,
+                TagHead.weights, TagHead.bias,
+                TagHead.suggest_threshold, TagHead.auto_apply_threshold,
+            )
+            .join(Tag, Tag.id == TagHead.tag_id)
+            .where(TagHead.embedding_version == embedding_version)
+        )
+    ).all()
+    if not rows:
+        loaded = {"W": None, "rows": []}
+    else:
+        W = np.vstack([np.asarray(r.weights, dtype=np.float32) for r in rows])
+        b = np.asarray([r.bias for r in rows], dtype=np.float32)
+        thr = np.asarray([r.suggest_threshold for r in rows], dtype=np.float32)
+        meta = [
+            {
+                "tag_id": r.tag_id,
+                "name": r.name,
+                "category": _CATEGORY.get(r.kind, "general"),
+                "auto_apply_threshold": r.auto_apply_threshold,
+            }
+            for r in rows
+        ]
+        loaded = {"W": W, "b": b, "thr": thr, "meta": meta}
+    _HEADS_CACHE["key"] = key
+    _HEADS_CACHE["heads"] = loaded
+    return loaded
+
+
+async def score_image(
+    session: AsyncSession, image_id: int, threshold_override: float | None = None,
+) -> list[dict]:
+    """Suggestions for one image from the trained heads: [{tag_id, name,
+    category, score}], ranked. A concept surfaces when its score clears the
+    head's own suggest_threshold — or, when threshold_override is given (the
+    typed-dropdown "show everything" mode), that flat floor instead (0 → every
+    head). Empty if the image has no embedding or no heads exist yet."""
+    import numpy as np
+
+    img = await session.get(ImageRecord, image_id)
+    if img is None or img.siglip_embedding is None:
+        return []
+    settings = await _settings_async(session)
+    heads = await _current_heads(session, settings.embedder_model_version)
+    if heads["W"] is None:
+        return []
+    x = np.asarray(img.siglip_embedding, dtype=np.float32)
+    n = float(np.linalg.norm(x)) or 1.0
+    xn = x / n
+    z = heads["W"] @ xn + heads["b"]
+    probs = 1.0 / (1.0 + np.exp(-z))
+    out = []
+    for i, p in enumerate(probs):
+        cut = threshold_override if threshold_override is not None else heads["thr"][i]
+        if p >= cut:
+            m = heads["meta"][i]
+            out.append({
+                "tag_id": m["tag_id"],
+                "name": m["name"],
+                "category": m["category"],
+                "score": float(p),
+            })
+    out.sort(key=lambda d: d["score"], reverse=True)
+    return out
+
+
+async def _settings_async(session: AsyncSession) -> MLSettings:
+    return (
+        await session.execute(select(MLSettings).where(MLSettings.id == 1))
+    ).scalar_one()
diff --git a/backend/app/services/ml/suggestions.py b/backend/app/services/ml/suggestions.py
index 7b0f996..1cb306f 100644
--- a/backend/app/services/ml/suggestions.py
+++ b/backend/app/services/ml/suggestions.py
@@ -1,24 +1,22 @@
-"""The suggestion read-path: raw predictions + centroids -> alias-resolved,
-threshold-filtered, category-grouped, ranked suggestions for one image.
+"""The suggestion read-path: trained HEADS score one image's frozen embedding
+into alias-resolved, category-grouped, ranked suggestions.
+
+Tagging-v2 (#114): suggestions now come from the per-concept heads that LEARN
+from the operator's tags (services/ml/heads.py) — the Camie prediction source
+and the per-tag SigLIP centroid have been REMOVED. A head exists only for an
+existing concept tag, so every suggestion is a canonical tag (no raw model key,
+no alias remap, no creates-new). Rejected tags stay in the list FLAGGED (not
+dropped) so the rail can show + reverse a dismissal.
 """
 
 from dataclasses import dataclass, field
 
-from sqlalchemy import func, select
+from sqlalchemy import select
 from sqlalchemy.ext.asyncio import AsyncSession
 
-from ...models import (
-    ImagePrediction,
-    ImageRecord,
-    MLSettings,
-    Tag,
-    TagSuggestionRejection,
-)
+from ...models import ImageRecord, TagSuggestionRejection
 from ...models.tag import image_tag
-from .aliases import AliasService
-from .centroids import CentroidService
-from .tag_name import normalize as normalize_tag_name
-from .tagger import SURFACED_CATEGORIES
+from .heads import score_image
 
 
 @dataclass(frozen=True)
@@ -29,7 +27,7 @@ class Suggestion:
     display_name: str
     category: str
     score: float
-    source: str  # 'tagger' | 'centroid' | 'both'
+    source: str  # 'head' (Camie 'tagger'/'centroid' sources removed in v2)
     creates_new_tag: bool
     # raw_name = the booru model vocab key behind this suggestion. It's the key
     # an alias MUST be stored under (resolution looks up the raw key), so the
@@ -39,6 +37,11 @@ class Suggestion:
     # via_alias = this suggestion was surfaced because an operator alias remapped
     # the raw prediction to this canonical tag. Lets the UI mark it + offer undo.
     via_alias: bool = False
+    # rejected = the operator dismissed this tag for this image (a stored
+    # TagSuggestionRejection). It stays in the list — flagged, not dropped — so
+    # the rejection is VISIBLE and REVERSIBLE in the rail (misclick recovery,
+    # operator-asked 2026-06-27) instead of silently vanishing or re-suggesting.
+    rejected: bool = False
 
 
 @dataclass
@@ -49,67 +52,24 @@ class SuggestionList:
 class SuggestionService:
     def __init__(self, session: AsyncSession):
         self.session = session
-        self.aliases = AliasService(session)
-        self.centroids = CentroidService(session)
-
-    async def _settings(self) -> MLSettings:
-        return (
-            await self.session.execute(select(MLSettings).where(MLSettings.id == 1))
-        ).scalar_one()
-
-    async def _load_predictions(self, image_id: int) -> dict:
-        """Predictions for one image from the normalized image_prediction
-        table (#768), in the {raw_name: {category, confidence}} shape the rest
-        of this service consumed from the old JSON column — so all downstream
-        threshold/alias/merge logic is unchanged."""
-        rows = (
-            await self.session.execute(
-                select(
-                    ImagePrediction.raw_name,
-                    ImagePrediction.category,
-                    ImagePrediction.score,
-                ).where(ImagePrediction.image_record_id == image_id)
-            )
-        ).all()
-        return {
-            r.raw_name: {"category": r.category, "confidence": r.score}
-            for r in rows
-        }
-
-    def _threshold_for(
-        self, s: MLSettings, category: str, override: float | None = None,
-    ) -> float:
-        # 'artist' (FC-2d-vii-c) and 'copyright' (2026-06-01) retired;
-        # both fall through to the 1.01 "never surfaces" default like any
-        # unsurfaced category.
-        # override (the typed-dropdown "show everything the model saw" mode)
-        # applies to the surfaced categories only — unsurfaced ones are already
-        # skipped before the threshold check, so they can't leak in.
-        if override is not None:
-            return override
-        return {
-            "character": s.suggestion_threshold_character,
-            "general": s.suggestion_threshold_general,
-        }.get(category, 1.01)
 
     async def for_image(
-        self, image_id: int, *, threshold_override: float | None = None,
+        self, image_id: int, threshold_override: float | None = None,
     ) -> SuggestionList:
-        """Ranked suggestions for one image.
+        """Head-scored suggestions for one image, grouped by category and ranked.
 
-        threshold_override surfaces EVERY stored tagger prediction (down to the
-        ingest STORE_FLOOR) regardless of the configured per-category suggestion
-        thresholds — backs the tag-input dropdown's "search all of the model's
-        predictions, including low-confidence ones, in the canonical formatting"
-        mode (operator-asked 2026-06-09). The Suggestions panel still calls with
-        no override so it stays the curated above-threshold list."""
+        Each trained head scores the image's frozen embedding; a concept surfaces
+        when its score clears the head's own suggest threshold. threshold_override
+        (used by the typed tag-input dropdown's "show everything" mode) replaces
+        that per-head cut with a flat floor (0 → every head), so a low-scoring
+        concept can still be typed + picked in canonical formatting.
+
+        Already-applied tags are dropped; rejected tags stay FLAGGED and sink to
+        the bottom of their category so a dismissal is visible + reversible."""
         img = await self.session.get(ImageRecord, image_id)
         if img is None:
             return SuggestionList()
 
-        settings = await self._settings()
-        predictions: dict = await self._load_predictions(image_id)
-
         applied = set(
             (
                 await self.session.execute(
@@ -129,148 +89,30 @@ class SuggestionService:
             ).scalars().all()
         )
 
-        # --- Camie predictions ---
-        # candidates carry (raw_name, display_name, category, confidence).
-        # raw_name = the booru-formatted vocab key, kept for alias_map
-        # lookup since alias rows are hand-curated against raw keys.
-        # display_name = normalize_tag_name(raw_name) — what the operator
-        # sees AND what gets written to tag.name on Accept.
-        candidates: list[tuple[str, str, str, float]] = []
-        for name, p in predictions.items():
-            category = p.get("category", "general")
-            if category not in SURFACED_CATEGORIES:
-                continue
-            conf = float(p.get("confidence", 0.0))
-            if conf < self._threshold_for(settings, category, threshold_override):
-                continue
-            display = normalize_tag_name(name)
-            if display is None:
-                # emoticon / pure-punctuation vocab entry — drop entirely
-                continue
-            candidates.append((name, display, category, conf))
-
-        alias_map = await self.aliases.resolve_many(
-            [(raw, c) for raw, _disp, c, _conf in candidates]
+        hits = await score_image(
+            self.session, image_id, threshold_override=threshold_override
         )
 
-        merged: dict[object, Suggestion] = {}
-
-        def _merge(key, sug: Suggestion):
-            existing = merged.get(key)
-            if existing is None:
-                merged[key] = sug
-            elif sug.score > existing.score:
-                merged[key] = Suggestion(
-                    canonical_tag_id=existing.canonical_tag_id,
-                    display_name=existing.display_name,
-                    category=existing.category,
-                    score=sug.score,
-                    source="both"
-                    if existing.source != sug.source
-                    else existing.source,
-                    creates_new_tag=existing.creates_new_tag,
-                    # Keep the alias identity from `existing`: the tagger pass
-                    # (which carries raw_name / via_alias) runs before centroid
-                    # augmentation, so it's always the first writer for a key.
-                    raw_name=existing.raw_name,
-                    via_alias=existing.via_alias,
-                )
-
-        for raw, display, category, conf in candidates:
-            canonical = alias_map.get((raw, category))
-            if canonical is not None:
-                if canonical.id in applied or canonical.id in rejected:
-                    continue
-                _merge(
-                    canonical.id,
-                    Suggestion(
-                        canonical_tag_id=canonical.id,
-                        display_name=canonical.name,
-                        category=category,
-                        score=conf,
-                        source="tagger",
-                        creates_new_tag=False,
-                        raw_name=raw,
-                        via_alias=True,
-                    ),
-                )
-            else:
-                # Case-insensitive match on BOTH the raw camie key AND
-                # the normalized form — covers legacy underscore-named
-                # Tag rows accepted before normalization shipped, AND
-                # any tag the operator created with the human form.
-                existing_tag = (
-                    await self.session.execute(
-                        select(Tag).where(
-                            func.lower(Tag.name).in_(
-                                [raw.lower(), display.lower()]
-                            )
-                        )
-                    )
-                ).scalars().first()
-                if existing_tag is not None:
-                    if (
-                        existing_tag.id in applied
-                        or existing_tag.id in rejected
-                    ):
-                        continue
-                    _merge(
-                        existing_tag.id,
-                        Suggestion(
-                            canonical_tag_id=existing_tag.id,
-                            display_name=existing_tag.name,
-                            category=category,
-                            score=conf,
-                            source="tagger",
-                            creates_new_tag=False,
-                            raw_name=raw,
-                            via_alias=False,
-                        ),
-                    )
-                else:
-                    _merge(
-                        f"raw:{display}:{category}",
-                        Suggestion(
-                            canonical_tag_id=None,
-                            display_name=display,
-                            category=category,
-                            score=conf,
-                            source="tagger",
-                            creates_new_tag=True,
-                            raw_name=raw,
-                            via_alias=False,
-                        ),
-                    )
-
-        # --- Centroid augmentation ---
-        hits = await self.centroids.find_similar_tags(image_id, limit=30)
-        for hit in hits:
-            if hit.similarity < settings.centroid_similarity_threshold:
-                continue
-            if hit.tag_id in applied or hit.tag_id in rejected:
-                continue
-            tag = await self.session.get(Tag, hit.tag_id)
-            if tag is None:
-                continue
-            cat = tag.kind.value if hasattr(tag.kind, "value") else str(tag.kind)
-            display_cat = cat if cat in SURFACED_CATEGORIES else "general"
-            _merge(
-                tag.id,
-                Suggestion(
-                    canonical_tag_id=tag.id,
-                    display_name=tag.name,
-                    category=display_cat,
-                    score=hit.similarity,
-                    source="centroid",
-                    creates_new_tag=False,
-                ),
-            )
-
         result = SuggestionList()
-        for sug in merged.values():
-            result.by_category.setdefault(sug.category, []).append(sug)
+        for h in hits:
+            tag_id = h["tag_id"]
+            if tag_id in applied:
+                continue
+            result.by_category.setdefault(h["category"], []).append(
+                Suggestion(
+                    canonical_tag_id=tag_id,
+                    display_name=h["name"],
+                    category=h["category"],
+                    score=h["score"],
+                    source="head",
+                    creates_new_tag=False,
+                    rejected=tag_id in rejected,
+                )
+            )
         for cat in result.by_category:
-            result.by_category[cat].sort(key=lambda s: s.score, reverse=True)
+            # Live suggestions first (by score), rejected ones sink to the
+            # bottom of the category — visible for recovery, out of the way.
+            result.by_category[cat].sort(key=lambda s: (s.rejected, -s.score))
         return result
 
     async def for_selection(
@@ -297,6 +139,11 @@ class SuggestionService:
                 for s in items:
                     if s.canonical_tag_id is None or s.creates_new_tag:
                         continue
+                    # for_image keeps rejected tags (flagged) for the rail;
+                    # bulk consensus must still ignore them — a tag dismissed on
+                    # an image isn't a suggestion for that image.
+                    if s.rejected:
+                        continue
                     st = stats.get(s.canonical_tag_id)
                     if st is None:
                         st = {
diff --git a/backend/app/tasks/maintenance.py b/backend/app/tasks/maintenance.py
index 1c8a0b8..fa0397b 100644
--- a/backend/app/tasks/maintenance.py
+++ b/backend/app/tasks/maintenance.py
@@ -13,6 +13,7 @@ from ..celery_app import celery
 from ..models import (
     BackupRun,
     DownloadEvent,
+    HeadTrainingRun,
     ImageRecord,
     ImportBatch,
     ImportSettings,
@@ -97,6 +98,9 @@ LIBRARY_AUDIT_STALL_THRESHOLD_MINUTES = 135
 # tag-eval (#1130) has a 30-min soft limit; flag a run with no progress past 40.
 TAG_EVAL_STALL_THRESHOLD_MINUTES = 40
 TAG_EVAL_KEEP_RUNS = 20
+# head training (#114) has a 60-min soft limit; flag no-progress past 75.
+HEAD_TRAINING_STALL_THRESHOLD_MINUTES = 75
+HEAD_TRAINING_KEEP_RUNS = 20
 # Import batches finalize only after every child ImportTask hits a
 # terminal state. The recovery sweep targets the case where every
 # task is done but the batch never got its closing UPDATE
@@ -753,6 +757,49 @@ def recover_stalled_tag_eval_runs() -> int:
         return recovered
 
 
+@celery.task(name="backend.app.tasks.maintenance.recover_stalled_head_training_runs")
+def recover_stalled_head_training_runs() -> int:
+    """Flip HeadTrainingRun rows stuck in 'running' past the stall threshold to
+    'error', and prune old runs to the last HEAD_TRAINING_KEEP_RUNS (retention,
+    rule 89). Runs every 5 min on the maintenance lane; no-op when idle."""
+    SessionLocal = _sync_session_factory()
+    now = datetime.now(UTC)
+    cutoff = now - timedelta(minutes=HEAD_TRAINING_STALL_THRESHOLD_MINUTES)
+    with SessionLocal() as session:
+        result = session.execute(
+            update(HeadTrainingRun)
+            .where(HeadTrainingRun.status == "running")
+            .where(
+                func.coalesce(
+                    HeadTrainingRun.last_progress_at, HeadTrainingRun.started_at
+                )
+                < cutoff
+            )
+            .values(
+                status="error", finished_at=now,
+                error=(
+                    f"stranded by recovery sweep (no progress for "
+                    f"{HEAD_TRAINING_STALL_THRESHOLD_MINUTES} min)"
+                ),
+            )
+        )
+        keep = session.execute(
+            select(HeadTrainingRun.id).order_by(HeadTrainingRun.id.desc())
+            .limit(HEAD_TRAINING_KEEP_RUNS)
+        ).scalars().all()
+        if keep:
+            session.execute(
+                delete(HeadTrainingRun).where(HeadTrainingRun.id.not_in(keep))
+            )
+        session.commit()
+        recovered = result.rowcount or 0
+        if recovered:
+            log.info(
+                "recover_stalled_head_training_runs: recovered %d rows", recovered
+            )
+        return recovered
+
+
 @celery.task(name="backend.app.tasks.maintenance.recover_stalled_import_batches")
 def recover_stalled_import_batches() -> int:
     """Finalize ImportBatch rows stuck in running past the hard limit
diff --git a/backend/app/tasks/ml.py b/backend/app/tasks/ml.py
index 9c8c477..65d8866 100644
--- a/backend/app/tasks/ml.py
+++ b/backend/app/tasks/ml.py
@@ -583,3 +583,49 @@ def tag_eval_run(self, run_id: int) -> str:
         run.finished_at = datetime.now(UTC)
         session.commit()
         return "ready"
+
+
+@celery.task(
+    name="backend.app.tasks.ml.train_heads",
+    bind=True,
+    # Trains a logistic-regression head per eligible concept over stored SigLIP
+    # embeddings — minutes for a full library. Runs on the ml queue (only that
+    # worker has scikit-learn). Commits per head so a kill leaves progress.
+    soft_time_limit=3600, time_limit=3900,
+)
+def train_heads(self, run_id: int) -> str:
+    """(Re)train all eligible concept heads into tag_head, tracked by the
+    HeadTrainingRun row so the admin card shows live + historical status."""
+    from datetime import UTC, datetime
+
+    from ..models import HeadTrainingRun
+    from ..services.ml.heads import train_all_heads
+
+    SessionLocal = _sync_session_factory()
+    with SessionLocal() as session:
+        run = session.get(HeadTrainingRun, run_id)
+        if run is None:
+            return "missing"
+        run.last_progress_at = datetime.now(UTC)
+        session.commit()
+        try:
+            result = train_all_heads(session, run.params, run)
+        except SoftTimeLimitExceeded:
+            run.status = "error"
+            run.error = "timed out"
+            run.finished_at = datetime.now(UTC)
+            session.commit()
+            raise
+        except Exception as exc:
+            log.exception("train_heads %d failed", run_id)
+            run.status = "error"
+            run.error = str(exc)
+            run.finished_at = datetime.now(UTC)
+            session.commit()
+            return "error"
+        run.n_trained = result["n_trained"]
+        run.n_skipped = result["n_skipped"]
+        run.status = "ready"
+        run.finished_at = datetime.now(UTC)
+        session.commit()
+        return "ready"
diff --git a/frontend/src/components/modal/SuggestionItem.vue b/frontend/src/components/modal/SuggestionItem.vue
index 1b79848..b9df764 100644
--- a/frontend/src/components/modal/SuggestionItem.vue
+++ b/frontend/src/components/modal/SuggestionItem.vue
@@ -1,29 +1,54 @@
 <template>
   <!-- Chip-card row: visible border + hover/focus state unifies the
        name, score, and action buttons as one "object" (operator-asked
-       2026-06-01). The row itself is informational; the explicit
-       Accept button + 3-dot menu are the action affordances. -->
-  <div class="fc-suggestion">
+       2026-06-01). The row itself is informational; the green ✓ / red ✗
+       verdict pair + 3-dot alias menu are the action affordances. -->
+  <div class="fc-suggestion" :class="{ 'fc-suggestion--rejected': suggestion.rejected }">
     <span class="fc-suggestion__name">
       {{ suggestion.display_name }}
-      <span v-if="suggestion.creates_new_tag" class="fc-suggestion__new"
+      <span v-if="suggestion.rejected" class="fc-suggestion__rejected-tag"
+        title="You rejected this for this image — un-reject to recover">rejected</span>
+      <span v-else-if="suggestion.creates_new_tag" class="fc-suggestion__new"
         title="No matching tag yet — accepting creates it">+ new</span>
       <span v-else-if="suggestion.via_alias" class="fc-suggestion__alias"
         :title="`Mapped from the tagger's “${suggestion.raw_name}” via an alias`">alias</span>
     </span>
     <span class="fc-suggestion__score">{{ scorePct }}</span>
-    <v-btn
-      class="fc-suggestion__accept"
-      size="small" variant="tonal" color="accent"
-      density="compact" rounded="pill"
-      :aria-label="`Accept ${suggestion.display_name}`"
-      @click="$emit('accept', suggestion)"
-    >
-      Accept
-    </v-btn>
+    <!-- Green ✓ / red ✗ pair (operator-asked 2026-06-28) mirrors the eval
+         card's verdict buttons: ✓ accepts the tag (positive), ✗ dismisses it
+         for this image (records a TagSuggestionRejection — a hard negative the
+         heads train on). Together they occupy ~the footprint of the old single
+         Accept pill, so rejecting is now a one-click peer of accepting rather
+         than buried in the kebab. When the row is already rejected the ✗ swaps
+         to an undo (↶) so the rejection is reversible in place. -->
+    <div class="fc-suggestion__acts">
+      <button
+        class="fc-act fc-act--yes" type="button"
+        :aria-label="`Accept ${suggestion.display_name}`"
+        :title="`Yes — tag ${suggestion.display_name}`"
+        @click="$emit('accept', suggestion)"
+      ><v-icon size="16">mdi-check</v-icon></button>
+      <button
+        v-if="suggestion.rejected"
+        class="fc-act fc-act--undo" type="button"
+        :aria-label="`Un-reject ${suggestion.display_name}`"
+        :title="`Undo — restore ${suggestion.display_name} as a suggestion`"
+        @click="$emit('undismiss', suggestion)"
+      ><v-icon size="16">mdi-undo-variant</v-icon></button>
+      <button
+        v-else
+        class="fc-act fc-act--no" type="button"
+        :aria-label="`Reject ${suggestion.display_name}`"
+        :title="`No — not ${suggestion.display_name}`"
+        @click="$emit('dismiss', suggestion)"
+      ><v-icon size="16">mdi-close</v-icon></button>
+    </div>
     <!-- Modal-safe kebab is baked into KebabMenu (this row lives in the
-         teleported image modal — #711). -->
+         teleported image modal — #711). Only rendered when an alias action
+         applies — dismiss now lives on the red ✗, so a centroid hit with no
+         alias option has no menu. -->
     <KebabMenu
+      v-if="hasMenu"
       class="fc-suggestion__menu" size="small" variant="outlined"
       :label="`More actions for ${suggestion.display_name}`"
     >
@@ -42,9 +67,6 @@
       >
         <v-list-item-title>Remove alias</v-list-item-title>
       </v-list-item>
-      <v-list-item @click="$emit('dismiss', suggestion)">
-        <v-list-item-title>Dismiss for this image</v-list-item-title>
-      </v-list-item>
     </KebabMenu>
   </div>
 </template>
@@ -54,9 +76,15 @@ import { computed } from 'vue'
 import KebabMenu from '../common/KebabMenu.vue'
 
 const props = defineProps({ suggestion: { type: Object, required: true } })
-defineEmits(['accept', 'alias', 'remove-alias', 'dismiss'])
+defineEmits(['accept', 'alias', 'remove-alias', 'dismiss', 'undismiss'])
 
 const scorePct = computed(() => `${Math.round(props.suggestion.score * 100)}%`)
+// Kebab now only carries alias actions: show it when this suggestion can be
+// aliased (raw model key, not yet aliased) or is already aliased (so it can be
+// un-aliased). Centroid hits (no raw_name, no alias) have an empty menu → hide.
+const hasMenu = computed(() =>
+  Boolean(props.suggestion.raw_name) || Boolean(props.suggestion.via_alias)
+)
 </script>
 
 <style scoped>
@@ -104,12 +132,51 @@ const scorePct = computed(() => `${Math.round(props.suggestion.score * 100)}%`)
   color: rgb(var(--v-theme-on-surface-variant, var(--v-theme-on-surface)));
   font-family: 'JetBrains Mono', monospace;
 }
-/* Vuetify's compact density doesn't shrink the tonal button enough
-   for a tight row; clamp the min-width so Accept stays compact. */
-.fc-suggestion__accept :deep(.v-btn__content) {
-  font-size: 12px; letter-spacing: 0.02em;
+/* Green ✓ / red ✗ verdict pair — same circular language as the eval card
+   (TagEvalCard .fc-act) so accept/reject read identically across surfaces. */
+.fc-suggestion__acts {
+  flex: 0 0 auto; display: flex; gap: 4px;
+}
+.fc-act {
+  width: 26px; height: 26px; border-radius: 50%; border: none; cursor: pointer;
+  display: flex; align-items: center; justify-content: center; color: #fff;
+  opacity: 0.9; transition: transform 0.1s, opacity 0.1s;
+}
+.fc-act:hover { opacity: 1; transform: scale(1.1); }
+.fc-act:focus-visible {
+  outline: 2px solid rgb(var(--v-theme-accent)); outline-offset: 1px;
+}
+.fc-act--yes { background: rgb(var(--v-theme-success)); }
+.fc-act--no { background: rgb(var(--v-theme-error)); }
+/* Undo reads as neutral-secondary, not a verdict: outlined, not filled. */
+.fc-act--undo {
+  background: transparent; color: rgb(var(--v-theme-on-surface-variant));
+  border: 1px solid rgb(var(--v-theme-on-surface-variant), 0.5);
 }
 .fc-suggestion__menu {
   flex: 0 0 auto;
 }
+
+/* Rejected state: the row stays put (recovery), dimmed + red-edged so it
+   reads as "handled, negative" without shouting over live suggestions. */
+.fc-suggestion--rejected {
+  border-color: rgb(var(--v-theme-error), 0.4);
+  background: rgb(var(--v-theme-error), 0.06);
+}
+.fc-suggestion--rejected .fc-suggestion__name {
+  color: rgb(var(--v-theme-on-surface-variant));
+  text-decoration: line-through;
+  text-decoration-color: rgb(var(--v-theme-error), 0.6);
+}
+.fc-suggestion__rejected-tag {
+  display: inline-block;
+  font-size: 10px; font-weight: 600;
+  color: rgb(var(--v-theme-error));
+  background: rgb(var(--v-theme-error), 0.12);
+  border: 1px solid rgb(var(--v-theme-error), 0.4);
+  padding: 1px 6px; border-radius: 999px;
+  margin-left: 6px;
+  text-transform: uppercase; letter-spacing: 0.04em;
+  text-decoration: none;
+}
 </style>
diff --git a/frontend/src/components/modal/SuggestionsCategoryGroup.vue b/frontend/src/components/modal/SuggestionsCategoryGroup.vue
index c2b35bc..4a317f6 100644
--- a/frontend/src/components/modal/SuggestionsCategoryGroup.vue
+++ b/frontend/src/components/modal/SuggestionsCategoryGroup.vue
@@ -18,6 +18,7 @@
         @alias="$emit('alias', $event)"
         @remove-alias="$emit('remove-alias', $event)"
         @dismiss="$emit('dismiss', $event)"
+        @undismiss="$emit('undismiss', $event)"
       />
     </div>
   </div>
@@ -33,7 +34,7 @@ const props = defineProps({
   collapsible: { type: Boolean, default: false },
   defaultOpen: { type: Boolean, default: true }
 })
-defineEmits(['accept', 'alias', 'remove-alias', 'dismiss'])
+defineEmits(['accept', 'alias', 'remove-alias', 'dismiss', 'undismiss'])
 
 const open = ref(props.collapsible ? props.defaultOpen : true)
 </script>
diff --git a/frontend/src/components/modal/SuggestionsPanel.vue b/frontend/src/components/modal/SuggestionsPanel.vue
index ffa2804..e62fc8b 100644
--- a/frontend/src/components/modal/SuggestionsPanel.vue
+++ b/frontend/src/components/modal/SuggestionsPanel.vue
@@ -21,14 +21,14 @@
         v-show="store.byCategory[cat] && store.byCategory[cat].length"
         :label="labelFor(cat)" :items="store.byCategory[cat] || []"
         @accept="onAccept" @alias="onAlias" @remove-alias="onRemoveAlias"
-        @dismiss="store.dismiss"
+        @dismiss="store.dismiss" @undismiss="store.undismiss"
       />
       <SuggestionsCategoryGroup
         v-if="store.byCategory.general && store.byCategory.general.length"
         label="General" :items="store.byCategory.general"
         collapsible :default-open="true"
         @accept="onAccept" @alias="onAlias" @remove-alias="onRemoveAlias"
-        @dismiss="store.dismiss"
+        @dismiss="store.dismiss" @undismiss="store.undismiss"
       />
     </div>
 
diff --git a/frontend/src/components/modal/TagAutocomplete.vue b/frontend/src/components/modal/TagAutocomplete.vue
index ba6fe25..43ab0e1 100644
--- a/frontend/src/components/modal/TagAutocomplete.vue
+++ b/frontend/src/components/modal/TagAutocomplete.vue
@@ -202,6 +202,10 @@ const suggestionHits = computed(() => {
   const out = []
   for (const list of Object.values(suggestions.allByCategory)) {
     for (const s of list || []) {
+      // Rejected suggestions now stay in allByCategory (flagged) so the panel
+      // can show + un-reject them; keep them OUT of the type-to-add dropdown,
+      // whose job is finding a tag to ADD (un-reject lives in the panel).
+      if (s.rejected) continue
       const key = `${s.category}:${s.display_name.toLowerCase()}`
       if (!s.display_name.toLowerCase().includes(q)) continue
       if (seen.has(key)) continue
diff --git a/frontend/src/components/settings/HeadsCard.vue b/frontend/src/components/settings/HeadsCard.vue
new file mode 100644
index 0000000..673ff1f
--- /dev/null
+++ b/frontend/src/components/settings/HeadsCard.vue
@@ -0,0 +1,241 @@
+<template>
+  <MaintenanceTile
+    icon="mdi-brain"
+    title="Concept heads (the learning suggester)"
+    blurb="Train the per-concept heads that turn your tags into suggestions — they replace Camie and sharpen every time you accept or reject."
+    :open="headCount > 0 || running"
+  >
+    <p class="fc-muted text-body-2 mb-3">
+      A <strong>head</strong> is a tiny classifier trained on the SigLIP
+      embeddings already stored on your images — your positives plus your
+      negatives (rejections). One is built per general/character concept with at
+      least <strong>{{ minPositives }}</strong> tagged images. Retrain after a
+      tagging session to fold in your latest accepts/rejects; scoring is live, so
+      the rail reflects a retrain on the next image you open.
+    </p>
+
+    <!-- Summary stats -->
+    <div class="fc-stats mb-3">
+      <div class="fc-stat">
+        <div class="fc-stat__n">{{ headCount }}</div>
+        <div class="fc-stat__l">heads</div>
+      </div>
+      <div class="fc-stat">
+        <div class="fc-stat__n">{{ graduatedCount }}</div>
+        <div class="fc-stat__l" title="Heads precise enough to auto-apply without review">auto-apply ready</div>
+      </div>
+      <div class="fc-stat">
+        <div class="fc-stat__n fc-stat__n--time">{{ lastTrained }}</div>
+        <div class="fc-stat__l">last trained</div>
+      </div>
+    </div>
+
+    <v-btn
+      v-if="!running"
+      color="accent" variant="flat" rounded="pill"
+      prepend-icon="mdi-play" :loading="busy" @click="onTrain"
+    >{{ headCount > 0 ? 'Retrain heads' : 'Train heads' }}</v-btn>
+
+    <div v-if="running" class="mt-3">
+      <v-progress-linear indeterminate color="accent" />
+      <div class="text-body-2 mt-2 fc-muted">Training… (started {{ startedAgo }})</div>
+    </div>
+
+    <v-alert
+      v-if="lastError"
+      type="error" variant="tonal" density="compact" class="mt-3"
+    >Training failed: {{ lastError }}</v-alert>
+
+    <!-- Empty state -->
+    <div v-if="!running && headCount === 0" class="fc-empty mt-4">
+      <v-icon size="32" color="accent">mdi-brain</v-icon>
+      <p class="fc-muted text-body-2 mt-2 mb-0">
+        No heads yet. Tag a handful of images for the concepts you care about,
+        then train — each concept with ≥ {{ minPositives }} tags becomes a head.
+      </p>
+    </div>
+
+    <!-- Per-concept table -->
+    <div v-if="heads.length" class="mt-4">
+      <div class="fc-muted text-caption mb-2">
+        {{ heads.length }} concept{{ heads.length === 1 ? '' : 's' }}, strongest first
+        (AP = average precision; auto-apply ⚡ = precise enough to fire without review)
+      </div>
+      <div class="fc-table-wrap">
+        <table class="fc-table">
+          <thead>
+            <tr>
+              <th class="fc-l">Concept</th>
+              <th>Cat</th>
+              <th class="fc-r" title="Tagged positives the head trained on">+tags</th>
+              <th class="fc-r">AP</th>
+              <th class="fc-r" title="Precision at the suggest operating point">P</th>
+              <th class="fc-r" title="Recall at the suggest operating point">R</th>
+              <th class="fc-c">⚡</th>
+            </tr>
+          </thead>
+          <tbody>
+            <tr v-for="h in heads" :key="h.tag_id">
+              <td class="fc-l">{{ h.name }}</td>
+              <td><span class="fc-cat">{{ h.category }}</span></td>
+              <td class="fc-r fc-mono">{{ h.n_pos }}</td>
+              <td class="fc-r fc-mono" :class="apClass(h.ap)">{{ pct(h.ap) }}</td>
+              <td class="fc-r fc-mono">{{ pct(h.precision) }}</td>
+              <td class="fc-r fc-mono">{{ pct(h.recall) }}</td>
+              <td class="fc-c">
+                <v-icon v-if="h.auto_apply" size="16" color="success"
+                  title="Auto-apply ready">mdi-lightning-bolt</v-icon>
+                <span v-else class="fc-muted">—</span>
+              </td>
+            </tr>
+          </tbody>
+        </table>
+      </div>
+    </div>
+  </MaintenanceTile>
+</template>
+
+<script setup>
+import { toast } from '../../utils/toast.js'
+import { computed, onMounted, onUnmounted, ref } from 'vue'
+
+import MaintenanceTile from '../common/MaintenanceTile.vue'
+import { useHeadsStore } from '../../stores/heads.js'
+import { useMLStore } from '../../stores/ml.js'
+
+const store = useHeadsStore()
+const mlSettings = useMLStore()
+const summary = ref(null)
+const busy = ref(false)
+let pollTimer = null
+
+const headCount = computed(() => summary.value?.head_count ?? 0)
+const graduatedCount = computed(() => summary.value?.graduated_count ?? 0)
+const heads = computed(() => summary.value?.heads ?? [])
+const running = computed(() => summary.value?.running_id != null)
+const minPositives = computed(() => mlSettings.settings?.head_min_positives ?? 8)
+const lastTrained = computed(() =>
+  summary.value?.last_trained_at ? relTime(summary.value.last_trained_at) : 'never')
+// Surface the most recent terminal run's error (if it ended in error).
+const lastError = computed(() => {
+  const r = (summary.value?.runs || []).find(x => x.status !== 'running')
+  return r && r.status === 'error' ? r.error : null
+})
+const startedAgo = computed(() => {
+  const r = (summary.value?.runs || []).find(x => x.status === 'running')
+  return r?.started_at ? formatTime(r.started_at) : ''
+})
+
+onMounted(async () => {
+  // Settings power the "min N tags" copy; non-fatal if it fails.
+  mlSettings.loadSettings().catch(() => {})
+  await refresh()
+  if (running.value) startPoll()
+})
+onUnmounted(stopPoll)
+
+async function refresh() {
+  try {
+    summary.value = await store.status()
+  } catch { /* non-fatal — the card still offers a fresh train */ }
+}
+
+function startPoll() {
+  stopPoll()
+  pollTimer = setInterval(async () => {
+    await refresh()
+    if (!running.value) stopPoll()
+  }, 5000)
+}
+function stopPoll() {
+  if (pollTimer) { clearInterval(pollTimer); pollTimer = null }
+}
+
+async function onTrain() {
+  busy.value = true
+  try {
+    await store.train()
+    await refresh()
+    startPoll()
+  } catch (e) {
+    const msg = e.body?.running_id ? 'Training is already running.' : e.message
+    toast({ text: `Could not start training: ${msg}`, type: 'error' })
+  } finally {
+    busy.value = false
+  }
+}
+
+function pct(x) { return x == null ? '—' : `${Math.round(x * 100)}%` }
+function apClass(ap) {
+  if (ap == null) return ''
+  if (ap >= 0.85) return 'fc-good'
+  if (ap >= 0.7) return 'fc-ok'
+  return 'fc-weak'
+}
+function formatTime(iso) {
+  if (!iso) return ''
+  try { return new Date(iso).toLocaleString() } catch { return iso }
+}
+function relTime(iso) {
+  try {
+    const d = (Date.now() - new Date(iso).getTime()) / 1000
+    if (d < 60) return 'just now'
+    if (d < 3600) return `${Math.floor(d / 60)}m ago`
+    if (d < 86400) return `${Math.floor(d / 3600)}h ago`
+    return `${Math.floor(d / 86400)}d ago`
+  } catch { return iso }
+}
+</script>
+
+<style scoped>
+.fc-muted { color: rgb(var(--v-theme-on-surface-variant)); }
+
+.fc-stats { display: flex; gap: 28px; }
+.fc-stat__n {
+  font-size: 22px; font-weight: 700; line-height: 1.1;
+  color: rgb(var(--v-theme-on-surface));
+  font-family: 'JetBrains Mono', monospace;
+}
+.fc-stat__n--time { font-size: 15px; font-weight: 600; }
+.fc-stat__l {
+  font-size: 11px; text-transform: uppercase; letter-spacing: 0.04em;
+  color: rgb(var(--v-theme-on-surface-variant));
+}
+
+.fc-empty {
+  text-align: center; padding: 18px 12px;
+  border: 1px dashed rgb(var(--v-theme-surface-light)); border-radius: 8px;
+}
+
+.fc-table-wrap {
+  max-height: 360px; overflow-y: auto;
+  border: 1px solid rgb(var(--v-theme-surface-light)); border-radius: 8px;
+}
+.fc-table { width: 100%; border-collapse: collapse; font-size: 13px; }
+.fc-table thead th {
+  position: sticky; top: 0; z-index: 1;
+  background: rgb(var(--v-theme-surface));
+  text-align: right; padding: 6px 10px; font-weight: 600;
+  color: rgb(var(--v-theme-on-surface-variant));
+  border-bottom: 1px solid rgb(var(--v-theme-surface-light));
+  white-space: nowrap;
+}
+.fc-table td {
+  padding: 5px 10px; text-align: right;
+  border-bottom: 1px solid rgba(var(--v-theme-surface-light), 0.5);
+}
+.fc-table tbody tr:hover { background: rgb(var(--v-theme-surface-light)); }
+.fc-l { text-align: left !important; }
+.fc-r { text-align: right; }
+.fc-c { text-align: center !important; }
+.fc-mono { font-family: 'JetBrains Mono', monospace; }
+.fc-cat {
+  font-size: 10px; text-transform: uppercase; letter-spacing: 0.03em;
+  color: rgb(var(--v-theme-on-surface-variant));
+  background: rgb(var(--v-theme-surface-light));
+  padding: 1px 6px; border-radius: 999px;
+}
+.fc-good { color: rgb(var(--v-theme-success)); }
+.fc-ok { color: rgb(var(--v-theme-on-surface)); }
+.fc-weak { color: rgb(var(--v-theme-error)); }
+</style>
diff --git a/frontend/src/components/settings/MaintenancePanel.vue b/frontend/src/components/settings/MaintenancePanel.vue
index 68c30d1..44dafe6 100644
--- a/frontend/src/components/settings/MaintenancePanel.vue
+++ b/frontend/src/components/settings/MaintenancePanel.vue
@@ -26,6 +26,7 @@
       </p>
       <div class="fc-tile-stack">
         <MLThresholdSliders />
+        <HeadsCard />
         <AllowlistTable />
         <AliasTable />
         <TagEvalCard />
@@ -52,6 +53,7 @@ import ArchiveReextractCard from './ArchiveReextractCard.vue'
 import MissingFileRepairCard from './MissingFileRepairCard.vue'
 import DbMaintenanceCard from './DbMaintenanceCard.vue'
 import MLThresholdSliders from './MLThresholdSliders.vue'
+import HeadsCard from './HeadsCard.vue'
 import AllowlistTable from './AllowlistTable.vue'
 import AliasTable from './AliasTable.vue'
 import TagEvalCard from './TagEvalCard.vue'
diff --git a/frontend/src/stores/heads.js b/frontend/src/stores/heads.js
new file mode 100644
index 0000000..c1f481e
--- /dev/null
+++ b/frontend/src/stores/heads.js
@@ -0,0 +1,24 @@
+import { defineStore } from 'pinia'
+
+import { useApi } from '../composables/useApi.js'
+
+// Heads (#114): the per-concept classifiers that LEARN from your tags and power
+// suggestions (replacing Camie + centroid). Training runs as a background task;
+// the card rehydrates status from GET /api/heads on mount so it survives
+// navigation (the run lives in head_training_run server-side).
+export const useHeadsStore = defineStore('heads', () => {
+  const api = useApi()
+
+  // Summary: head_count, graduated_count, last_trained_at, running_id, the
+  // per-concept head table, and recent training runs.
+  async function status() {
+    return await api.get('/api/heads')
+  }
+
+  // (Re)train all eligible heads. One run at a time (409 if already running).
+  async function train(params = {}) {
+    return await api.post('/api/heads/train', { body: { params } })
+  }
+
+  return { status, train }
+})
diff --git a/frontend/src/stores/suggestions.js b/frontend/src/stores/suggestions.js
index 36c926a..b7dd6c5 100644
--- a/frontend/src/stores/suggestions.js
+++ b/frontend/src/stores/suggestions.js
@@ -84,6 +84,19 @@ export const useSuggestionsStore = defineStore('suggestions', () => {
     }
   }
 
+  // Flip the `rejected` flag on the matching suggestion in BOTH lists in place,
+  // so a reject/un-reject shows immediately without dropping the row (visible,
+  // reversible rejection — misclick recovery, operator-asked 2026-06-27).
+  function _setRejectedEverywhere(suggestion, value) {
+    const key = _keyOf(suggestion)
+    const cat = suggestion.category
+    for (const map of [byCategory.value, allByCategory.value]) {
+      for (const s of map[cat] || []) {
+        if (_keyOf(s) === key) s.rejected = value
+      }
+    }
+  }
+
   async function accept(suggestion) {
     // Capture imageId so a mid-flight prev/next can't reroute the
     // accept POST to a different image AND push the tag to that
@@ -168,21 +181,36 @@ export const useSuggestionsStore = defineStore('suggestions', () => {
   async function dismiss(suggestion) {
     const imageId = currentImageId
     if (imageId == null) return
-    // Dismiss needs a tag_id; raw tags have none, so dismissing a raw
-    // suggestion just hides it client-side (nothing to persist a rejection
-    // against until the tag exists).
-    if (suggestion.canonical_tag_id != null) {
-      await api.post(`/api/images/${imageId}/suggestions/dismiss`, {
-        body: { tag_id: suggestion.canonical_tag_id }
-      })
+    // Dismiss needs a tag_id. Raw tags (creates_new_tag) have none, so there's
+    // nothing to persist a rejection against — drop them client-side as before.
+    // Canonical tags persist a rejection and STAY in the list flagged rejected,
+    // so the operator can see it and one-click un-reject (misclick recovery).
+    if (suggestion.canonical_tag_id == null) {
+      if (currentImageId === imageId) _dropEverywhere(suggestion)
+      return
     }
+    await api.post(`/api/images/${imageId}/suggestions/dismiss`, {
+      body: { tag_id: suggestion.canonical_tag_id }
+    })
     if (currentImageId === imageId) {
-      _dropEverywhere(suggestion)
+      _setRejectedEverywhere(suggestion, true)
+    }
+  }
+
+  // Undo a per-image dismissal — the suggestion reverts to a live row.
+  async function undismiss(suggestion) {
+    const imageId = currentImageId
+    if (imageId == null || suggestion.canonical_tag_id == null) return
+    await api.post(`/api/images/${imageId}/suggestions/undismiss`, {
+      body: { tag_id: suggestion.canonical_tag_id }
+    })
+    if (currentImageId === imageId) {
+      _setRejectedEverywhere(suggestion, false)
     }
   }
 
   return {
     byCategory, allByCategory, loading, error,
-    load, loadAll, accept, aliasAccept, removeAlias, dismiss
+    load, loadAll, accept, aliasAccept, removeAlias, dismiss, undismiss
   }
 })
diff --git a/tests/test_api_heads.py b/tests/test_api_heads.py
new file mode 100644
index 0000000..4aea492
--- /dev/null
+++ b/tests/test_api_heads.py
@@ -0,0 +1,120 @@
+"""Heads API + scoring (#114). Training itself needs scikit-learn (ml image
+only, not the CI test env), so these cover the sklearn-free surface: the
+enqueue/conflict guard, the status summary, and score_image against a
+hand-built head (numpy only, available via pgvector)."""
+import math
+
+import pytest
+
+from backend.app.models import (
+    HeadTrainingRun,
+    ImageRecord,
+    MLSettings,
+    Tag,
+    TagHead,
+    TagKind,
+)
+from backend.app.services.ml.heads import score_image
+from backend.app.services.tag_service import TagService
+
+pytestmark = pytest.mark.integration
+
+
+async def _img_with_embedding(db, sha, emb):
+    rec = ImageRecord(
+        path=f"/images/{sha}.jpg", sha256=sha, size_bytes=1, mime="image/jpeg",
+        width=1, height=1, origin="imported_filesystem",
+        integrity_status="unknown", siglip_embedding=emb,
+    )
+    db.add(rec)
+    await db.flush()
+    return rec
+
+
+async def _embedder_version(db) -> str:
+    from sqlalchemy import select
+
+    s = (await db.execute(select(MLSettings).where(MLSettings.id == 1))).scalar_one()
+    return s.embedder_model_version
+
+
+@pytest.mark.asyncio
+async def test_train_enqueues_running(client, db, monkeypatch):
+    monkeypatch.setattr(
+        "backend.app.tasks.ml.train_heads.delay", lambda *a, **k: None
+    )
+    resp = await client.post("/api/heads/train", json={})
+    assert resp.status_code == 202
+    body = await resp.get_json()
+    assert body["status"] == "running"
+    got = await db.get(HeadTrainingRun, body["run_id"])
+    assert got is not None and got.status == "running"
+
+
+@pytest.mark.asyncio
+async def test_train_conflicts_when_one_running(client, db, monkeypatch):
+    monkeypatch.setattr(
+        "backend.app.tasks.ml.train_heads.delay", lambda *a, **k: None
+    )
+    db.add(HeadTrainingRun(params={}, status="running"))
+    await db.flush()
+    await db.commit()
+    resp = await client.post("/api/heads/train", json={})
+    assert resp.status_code == 409
+    body = await resp.get_json()
+    assert body["error"] == "training_already_running"
+
+
+@pytest.mark.asyncio
+async def test_status_summary(client, db):
+    tag = await TagService(db).find_or_create("glasses", TagKind.general)
+    db.add(TagHead(
+        tag_id=tag.id, embedding_version=await _embedder_version(db),
+        weights=[0.0] * 1152, bias=0.0, suggest_threshold=0.5,
+        auto_apply_threshold=0.9, n_pos=30, n_neg=90,
+        ap=0.88, precision_cv=0.95, recall=0.7,
+    ))
+    await db.commit()
+    resp = await client.get("/api/heads")
+    assert resp.status_code == 200
+    body = await resp.get_json()
+    assert body["head_count"] == 1
+    assert body["graduated_count"] == 1          # auto_apply_threshold set
+    assert body["running_id"] is None
+    h = next(x for x in body["heads"] if x["name"] == "glasses")
+    assert h["auto_apply"] is True and h["n_pos"] == 30
+
+
+@pytest.mark.asyncio
+async def test_score_image_surfaces_matching_head(db):
+    # A head whose weight vector IS the (normalized) image embedding scores
+    # sigmoid(1)=~0.73 >= 0.5 → surfaced. A second image orthogonal to it isn't.
+    emb = [0.0] * 1152
+    emb[0] = 3.0  # ||emb|| = 3 → x̂ = e0
+    img = await _img_with_embedding(db, "a" * 64, emb)
+    other = [0.0] * 1152
+    other[1] = 5.0
+    img2 = await _img_with_embedding(db, "b" * 64, other)
+
+    tag = await TagService(db).find_or_create("cat", TagKind.general)
+    weights = [0.0] * 1152
+    weights[0] = 1.0  # unit vector along e0 == x̂ of img
+    db.add(TagHead(
+        tag_id=tag.id, embedding_version=await _embedder_version(db),
+        weights=weights, bias=0.0, suggest_threshold=0.5,
+        auto_apply_threshold=None, n_pos=10, n_neg=30,
+        ap=0.8, precision_cv=0.9, recall=0.6,
+    ))
+    await db.commit()
+
+    hits = await score_image(db, img.id)
+    assert len(hits) == 1
+    assert hits[0]["tag_id"] == tag.id
+    assert hits[0]["category"] == "general"
+    assert hits[0]["score"] == pytest.approx(1 / (1 + math.exp(-1.0)), abs=1e-3)
+
+    # Orthogonal image: w·x̂ = 0 → sigmoid(0)=0.5; not > threshold strictly? It's
+    # == 0.5 so it passes >=; assert it's at the boundary rather than surfaced
+    # high. (Kept distinct from img's clear hit.)
+    hits2 = await score_image(db, img2.id)
+    assert all(h["score"] <= 0.5 for h in hits2)
diff --git a/tests/test_api_suggestions.py b/tests/test_api_suggestions.py
index 2b1b425..ac02374 100644
--- a/tests/test_api_suggestions.py
+++ b/tests/test_api_suggestions.py
@@ -1,7 +1,8 @@
 import pytest
+from sqlalchemy import select
 
 from backend.app.celery_app import celery
-from backend.app.models import ImageRecord, TagKind
+from backend.app.models import ImageRecord, MLSettings, TagHead, TagKind
 from backend.app.services.tag_service import TagService
 
 pytestmark = pytest.mark.integration
@@ -31,13 +32,30 @@ async def _img(db, preds, sha="s" * 64):
 
 @pytest.mark.asyncio
 async def test_get_suggestions(client, db):
-    img = await _img(
-        db, {"sword": {"category": "general", "confidence": 0.97}}
+    # Suggestions come from a trained head now (Camie/centroid removed): an image
+    # whose embedding aligns with the head surfaces that concept.
+    s = (await db.execute(select(MLSettings).where(MLSettings.id == 1))).scalar_one()
+    img = ImageRecord(
+        path="/images/headsug.jpg", sha256="h" * 64, size_bytes=1,
+        mime="image/jpeg", width=1, height=1, origin="imported_filesystem",
+        integrity_status="unknown", siglip_embedding=[3.0] + [0.0] * 1151,
     )
+    db.add(img)
+    await db.flush()
+    tag = await TagService(db).find_or_create("sword", TagKind.general)
+    db.add(TagHead(
+        tag_id=tag.id, embedding_version=s.embedder_model_version,
+        weights=[1.0] + [0.0] * 1151, bias=0.0, suggest_threshold=0.5,
+        auto_apply_threshold=None, n_pos=10, n_neg=30,
+        ap=0.8, precision_cv=0.9, recall=0.6,
+    ))
+    await db.commit()
     resp = await client.get(f"/api/images/{img.id}/suggestions")
     assert resp.status_code == 200
     body = await resp.get_json()
-    assert "general" in body["by_category"]
+    general = body["by_category"].get("general", [])
+    s2 = next(x for x in general if x["canonical_tag_id"] == tag.id)
+    assert s2["source"] == "head"
 
 
 @pytest.mark.asyncio
@@ -95,6 +113,25 @@ async def test_dismiss(client, db):
     assert resp.status_code == 204
 
 
+@pytest.mark.asyncio
+async def test_undismiss_reverses_rejection(client, db):
+    img = await _img(db, {})
+    tag = await TagService(db).find_or_create("UndismissMe", TagKind.general)
+    await db.commit()
+    await client.post(
+        f"/api/images/{img.id}/suggestions/dismiss", json={"tag_id": tag.id}
+    )
+    resp = await client.post(
+        f"/api/images/{img.id}/suggestions/undismiss", json={"tag_id": tag.id}
+    )
+    assert resp.status_code == 204
+    # Idempotent: un-rejecting again (nothing to clear) is still a 204.
+    resp2 = await client.post(
+        f"/api/images/{img.id}/suggestions/undismiss", json={"tag_id": tag.id}
+    )
+    assert resp2.status_code == 204
+
+
 @pytest.mark.asyncio
 async def test_alias_requires_fields(client, db):
     img = await _img(db, {})
@@ -102,67 +139,3 @@ async def test_alias_requires_fields(client, db):
         f"/api/images/{img.id}/suggestions/alias", json={"alias_string": "x"}
     )
     assert resp.status_code == 400
-
-
-async def _img_at(db, path, sha, preds):
-    from tests._prediction_helpers import seed_predictions
-
-    img = ImageRecord(
-        path=path, sha256=sha, size_bytes=1, mime="image/jpeg",
-        width=1, height=1, origin="imported_filesystem",
-        integrity_status="unknown",
-    )
-    db.add(img)
-    await db.commit()
-    await seed_predictions(db, img.id, preds)
-    await db.commit()
-    return img
-
-
-@pytest.mark.asyncio
-async def test_alias_roundtrip_resolves_by_raw_key(client, db):
-    """Locks the modal-alias contract: the suggestion exposes the RAW model key,
-    an alias authored with that key resolves on a later image, and the resolved
-    suggestion is flagged via_alias. (Pre-fix the modal stored the normalized
-    display name, which never resolved.)"""
-    canonical = await TagService(db).find_or_create(
-        "Sasuke Uchiha", TagKind.character
-    )
-    await db.commit()
-    preds = {"uchiha_sasuke": {"category": "character", "confidence": 0.99}}
-    img_a = await _img_at(db, "/images/alias_a.jpg", "a" * 64, preds)
-
-    # (a) raw_name is exposed so the modal can author the alias with it; the
-    # raw prediction doesn't textually match the tag, so it'd otherwise be +new.
-    body = await (
-        await client.get(f"/api/images/{img_a.id}/suggestions")
-    ).get_json()
-    sug = body["by_category"]["character"][0]
-    assert sug["raw_name"] == "uchiha_sasuke"
-    assert sug["via_alias"] is False
-    assert sug["creates_new_tag"] is True
-
-    # Author the alias keyed by the RAW key (what the frontend now sends).
-    resp = await client.post(
-        f"/api/images/{img_a.id}/suggestions/alias",
-        json={
-            "alias_string": sug["raw_name"],
-            "alias_category": "character",
-            "canonical_tag_id": canonical.id,
-        },
-    )
-    assert resp.status_code == 200
-    assert (await resp.get_json())["allowlisted"] is True
-
-    # (b) A DIFFERENT image with the same prediction now resolves via the alias
-    # (image A's tag is applied, so it's filtered there). Had the alias been
-    # stored under the display name, this would NOT resolve.
-    img_b = await _img_at(db, "/images/alias_b.jpg", "b" * 64, preds)
-    body_b = await (
-        await client.get(f"/api/images/{img_b.id}/suggestions")
-    ).get_json()
-    sug_b = body_b["by_category"]["character"][0]
-    assert sug_b["canonical_tag_id"] == canonical.id
-    assert sug_b["via_alias"] is True
-    assert sug_b["creates_new_tag"] is False
-    assert sug_b["raw_name"] == "uchiha_sasuke"
diff --git a/tests/test_ml_artist_retired.py b/tests/test_ml_artist_retired.py
index 955583a..0a3e208 100644
--- a/tests/test_ml_artist_retired.py
+++ b/tests/test_ml_artist_retired.py
@@ -14,14 +14,12 @@ def test_artist_not_centroid_eligible():
     assert TagKind.artist not in ELIGIBLE_KINDS
 
 
-def test_threshold_for_artist_is_unsurfaced():
-    from backend.app.services.ml.suggestions import SuggestionService
+def test_artist_not_head_eligible():
+    # Tagging-v2: suggestions come from heads, and heads are only trained for
+    # general/character concepts — so 'artist' (and any other kind) can't surface.
+    from backend.app.models import TagKind
+    from backend.app.services.ml.heads import _HEAD_KINDS
 
-    class _S:
-        suggestion_threshold_character = 0.5
-        suggestion_threshold_general = 0.5
-
-    svc = SuggestionService.__new__(SuggestionService)
-    # 'artist' and 'copyright' both retired — fall through to 1.01
-    assert svc._threshold_for(_S(), "artist") == 1.01
-    assert svc._threshold_for(_S(), "copyright") == 1.01
+    assert TagKind.general in _HEAD_KINDS
+    assert TagKind.character in _HEAD_KINDS
+    assert TagKind.artist not in _HEAD_KINDS
diff --git a/tests/test_ml_suggestions.py b/tests/test_ml_suggestions.py
index 3f532bd..7a427e2 100644
--- a/tests/test_ml_suggestions.py
+++ b/tests/test_ml_suggestions.py
@@ -1,149 +1,133 @@
+"""Suggestion read-path (tagging-v2): suggestions come from trained HEADS, not
+Camie predictions or centroids. Heads are inserted directly (training needs
+scikit-learn, ml image only); scoring is numpy-only (available via pgvector)."""
 import pytest
+from sqlalchemy import select
 
-from backend.app.models import ImageRecord, TagKind
+from backend.app.models import ImageRecord, MLSettings, TagHead, TagKind
 from backend.app.models.tag import image_tag
-from backend.app.services.ml.aliases import AliasService
+from backend.app.services.ml.allowlist import AllowlistService
 from backend.app.services.ml.suggestions import SuggestionService
 from backend.app.services.tag_service import TagService
 
 pytestmark = pytest.mark.integration
 
 
-def _img(sha: str) -> ImageRecord:
-    return ImageRecord(
-        path=f"/images/{sha}.jpg",
-        sha256=sha,
-        size_bytes=1,
-        mime="image/jpeg",
-        width=1,
-        height=1,
-        origin="imported_filesystem",
-        integrity_status="unknown",
+def _emb(slot: int, val: float = 3.0) -> list[float]:
+    """An embedding pointing along axis `slot` (so its L2-normalized form is the
+    unit vector e_slot — a head with weights e_slot scores it sigmoid(1)≈0.73)."""
+    v = [0.0] * 1152
+    v[slot] = val
+    return v
+
+
+async def _img(db, sha: str, emb=None) -> ImageRecord:
+    img = ImageRecord(
+        path=f"/images/{sha}.jpg", sha256=sha, size_bytes=1, mime="image/jpeg",
+        width=1, height=1, origin="imported_filesystem",
+        integrity_status="unknown", siglip_embedding=emb,
     )
-
-
-async def _seed_img(db, sha: str, predictions: dict) -> ImageRecord:
-    """#768: create an image + seed its predictions into image_prediction
-    (the read path's source), returning the flushed record."""
-    from tests._prediction_helpers import seed_predictions
-
-    img = _img(sha)
     db.add(img)
     await db.flush()
-    await seed_predictions(db, img.id, predictions)
     return img
 
 
+async def _embver(db) -> str:
+    s = (await db.execute(select(MLSettings).where(MLSettings.id == 1))).scalar_one()
+    return s.embedder_model_version
+
+
+async def _head(db, tag_id: int, slot: int, suggest_threshold: float = 0.5):
+    weights = [0.0] * 1152
+    weights[slot] = 1.0
+    db.add(TagHead(
+        tag_id=tag_id, embedding_version=await _embver(db),
+        weights=weights, bias=0.0, suggest_threshold=suggest_threshold,
+        auto_apply_threshold=None, n_pos=10, n_neg=30,
+        ap=0.8, precision_cv=0.9, recall=0.6,
+    ))
+
+
 @pytest.mark.asyncio
-async def test_threshold_filters_low_confidence_general(db):
-    # Default general threshold is 0.50 (alembic 0029 lowered it from
-    # 0.95). Use 0.30/0.60 to keep the test asserting threshold behavior
-    # rather than the exact cutoff number.
-    img = await _seed_img(
-        db,
-        "a" * 64,
-        {
-            "lowconf": {"category": "general", "confidence": 0.30},
-            "sword": {"category": "general", "confidence": 0.97},
-        },
-    )
+async def test_head_suggestion_surfaces_for_matching_image(db):
+    tag = await TagService(db).find_or_create("glasses", TagKind.general)
+    img = await _img(db, "a" * 64, _emb(0))
+    await _head(db, tag.id, slot=0)
+    await db.commit()
+
     sl = await SuggestionService(db).for_image(img.id)
-    names = [s.display_name for s in sl.by_category.get("general", [])]
-    # display_name is normalized (tag_name.normalize) before surfacing.
-    assert "Sword" in names
-    assert "Lowconf" not in names
+    general = sl.by_category["general"]
+    assert len(general) == 1
+    s = general[0]
+    assert s.canonical_tag_id == tag.id
+    assert s.source == "head"
+    assert s.creates_new_tag is False
+    assert s.via_alias is False and s.raw_name is None
+    assert s.score > 0.5
 
 
 @pytest.mark.asyncio
-async def test_threshold_override_surfaces_low_confidence(db):
-    # The typed-dropdown "show everything the model saw" mode: threshold_override
-    # surfaces stored predictions below the configured threshold (in canonical
-    # formatting) so they can be picked instead of hand-typed (2026-06-09).
-    img = await _seed_img(
-        db,
-        "d" * 64,
-        {
-            "lowconf": {"category": "general", "confidence": 0.30},
-            "sword": {"category": "general", "confidence": 0.97},
-        },
-    )
-    sl = await SuggestionService(db).for_image(img.id, threshold_override=0.0)
-    names = [s.display_name for s in sl.by_category.get("general", [])]
-    assert "Sword" in names
-    assert "Lowconf" in names  # below the configured threshold, surfaced anyway
-
-    # Unsurfaced categories are still excluded even with the override.
-    img2 = await _seed_img(
-        db, "e" * 64, {"safe": {"category": "rating", "confidence": 0.99}}
-    )
-    sl2 = await SuggestionService(db).for_image(img2.id, threshold_override=0.0)
-    assert "rating" not in sl2.by_category
+async def test_no_embedding_means_no_suggestions(db):
+    img = await _img(db, "b" * 64, None)
+    tag = await TagService(db).find_or_create("cat", TagKind.general)
+    await _head(db, tag.id, slot=0)
+    await db.commit()
+    assert (await SuggestionService(db).for_image(img.id)).by_category == {}
 
 
 @pytest.mark.asyncio
-async def test_unsurfaced_category_dropped(db):
-    img = await _seed_img(
-        db,
-        "b" * 64,
-        {"safe": {"category": "rating", "confidence": 0.99}},
-    )
-    sl = await SuggestionService(db).for_image(img.id)
-    assert "rating" not in sl.by_category
-
-
-@pytest.mark.asyncio
-async def test_alias_resolution(db):
-    tags = TagService(db)
-    canonical = await tags.find_or_create("Sasuke Uchiha", TagKind.character)
-    await AliasService(db).create("uchiha_sasuke", "character", canonical.id)
-    img = await _seed_img(
-        db,
-        "c" * 64,
-        {"uchiha_sasuke": {"category": "character", "confidence": 0.96}},
-    )
-    sl = await SuggestionService(db).for_image(img.id)
-    chars = sl.by_category["character"]
-    assert len(chars) == 1
-    assert chars[0].display_name == "Sasuke Uchiha"
-    assert chars[0].canonical_tag_id == canonical.id
-    assert chars[0].creates_new_tag is False
-    # Surfaced via an alias on the raw model key — the UI marks it + offers undo.
-    assert chars[0].via_alias is True
-    assert chars[0].raw_name == "uchiha_sasuke"
-
-
-@pytest.mark.asyncio
-async def test_raw_tag_creates_new(db):
-    img = await _seed_img(
-        db,
-        "d" * 64,
-        {"brand_new_tag": {"category": "character", "confidence": 0.96}},
-    )
-    sl = await SuggestionService(db).for_image(img.id)
-    chars = sl.by_category["character"]
-    # display_name is the normalized Camie name (underscores -> spaces,
-    # title-cased), not the raw vocab key.
-    assert chars[0].display_name == "Brand New Tag"
-    assert chars[0].creates_new_tag is True
-    # Not aliased, but the raw key is carried so the modal can author one.
-    assert chars[0].via_alias is False
-    assert chars[0].raw_name == "brand_new_tag"
-    assert chars[0].canonical_tag_id is None
+async def test_no_heads_means_no_suggestions(db):
+    img = await _img(db, "c" * 64, _emb(0))
+    await db.commit()  # no heads trained yet
+    assert (await SuggestionService(db).for_image(img.id)).by_category == {}
 
 
 @pytest.mark.asyncio
 async def test_applied_tag_not_suggested(db):
-    tags = TagService(db)
-    tag = await tags.find_or_create("alreadyhere", TagKind.character)
-    img = await _seed_img(
-        db,
-        "e" * 64,
-        {"alreadyhere": {"category": "character", "confidence": 0.96}},
-    )
+    tag = await TagService(db).find_or_create("dog", TagKind.general)
+    img = await _img(db, "d" * 64, _emb(0))
+    await _head(db, tag.id, slot=0)
     await db.execute(
         image_tag.insert().values(
             image_record_id=img.id, tag_id=tag.id, source="manual"
         )
     )
+    await db.commit()
     sl = await SuggestionService(db).for_image(img.id)
-    assert "character" not in sl.by_category or not sl.by_category["character"]
+    assert "general" not in sl.by_category or not sl.by_category["general"]
+
+
+@pytest.mark.asyncio
+async def test_threshold_override_surfaces_below_cut(db):
+    # A head with a high suggest_threshold won't surface on a so-so score, but
+    # the dropdown's override=0 floor surfaces every head regardless.
+    tag = await TagService(db).find_or_create("horse", TagKind.general)
+    img = await _img(db, "e" * 64, _emb(1))   # orthogonal to the head → score 0.5
+    await _head(db, tag.id, slot=0, suggest_threshold=0.6)
+    await db.commit()
+    svc = SuggestionService(db)
+    assert svc and not (await svc.for_image(img.id)).by_category.get("general")
+    flooded = await svc.for_image(img.id, threshold_override=0.0)
+    assert any(s.canonical_tag_id == tag.id for s in flooded.by_category["general"])
+
+
+@pytest.mark.asyncio
+async def test_rejected_tag_surfaced_flagged_then_reversible(db):
+    # A dismissed suggestion is NOT dropped: it stays flagged rejected so the
+    # rail can show it + offer one-click un-reject (operator-asked 2026-06-27).
+    tag = await TagService(db).find_or_create("goblin", TagKind.general)
+    img = await _img(db, "f" * 64, _emb(0))
+    await _head(db, tag.id, slot=0)
+    await db.commit()
+    await AllowlistService(db).dismiss(img.id, tag.id)
+    await db.commit()
+
+    sl = await SuggestionService(db).for_image(img.id)
+    s = next(x for x in sl.by_category["general"] if x.canonical_tag_id == tag.id)
+    assert s.rejected is True
+
+    await AllowlistService(db).undismiss(img.id, tag.id)
+    await db.commit()
+    sl2 = await SuggestionService(db).for_image(img.id)
+    s2 = next(x for x in sl2.by_category["general"] if x.canonical_tag_id == tag.id)
+    assert s2.rejected is False
diff --git a/tests/test_suggestions_bulk.py b/tests/test_suggestions_bulk.py
index d0d101a..5df13f2 100644
--- a/tests/test_suggestions_bulk.py
+++ b/tests/test_suggestions_bulk.py
@@ -1,88 +1,84 @@
+"""Consensus (for_selection) over the tagging-v2 HEAD suggestion source."""
 import pytest
+from sqlalchemy import select
 
 from backend.app import create_app
-from backend.app.models import ImageRecord, TagKind
+from backend.app.models import ImageRecord, MLSettings, TagHead, TagKind
 from backend.app.models.tag import image_tag
 from backend.app.services.ml.suggestions import SuggestionService
 from backend.app.services.tag_service import TagService
-from tests._prediction_helpers import seed_predictions
 
 pytestmark = pytest.mark.integration
 
 
-def _img(sha: str) -> ImageRecord:
-    return ImageRecord(
-        path=f"/images/{sha}.jpg", sha256=sha, size_bytes=1,
-        mime="image/jpeg", width=1, height=1,
-        origin="imported_filesystem", integrity_status="unknown",
+def _emb(slot: int) -> list[float]:
+    v = [0.0] * 1152
+    v[slot] = 3.0
+    return v
+
+
+async def _img(db, sha: str, emb=None) -> ImageRecord:
+    img = ImageRecord(
+        path=f"/images/{sha}.jpg", sha256=sha, size_bytes=1, mime="image/jpeg",
+        width=1, height=1, origin="imported_filesystem",
+        integrity_status="unknown", siglip_embedding=emb,
     )
+    db.add(img)
+    await db.flush()
+    return img
+
+
+async def _head(db, tag_id: int, slot: int = 0):
+    s = (await db.execute(select(MLSettings).where(MLSettings.id == 1))).scalar_one()
+    weights = [0.0] * 1152
+    weights[slot] = 1.0
+    db.add(TagHead(
+        tag_id=tag_id, embedding_version=s.embedder_model_version,
+        weights=weights, bias=0.0, suggest_threshold=0.5,
+        auto_apply_threshold=None, n_pos=10, n_neg=30,
+        ap=0.8, precision_cv=0.9, recall=0.6,
+    ))
 
 
 @pytest.mark.asyncio
 async def test_consensus_includes_tag_over_threshold(db):
-    tags = TagService(db)
-    t = await tags.find_or_create("sword", TagKind.general)
-    a = _img("a" * 64)
-    b = _img("b" * 64)
-    db.add_all([a, b])
-    await db.flush()
-    await seed_predictions(db, a.id, {"sword": {"category": "general", "confidence": 0.97}})
-    await seed_predictions(db, b.id, {"sword": {"category": "general", "confidence": 0.95}})
+    t = await TagService(db).find_or_create("sword", TagKind.general)
+    a = await _img(db, "a" * 64, _emb(0))
+    b = await _img(db, "b" * 64, _emb(0))
+    await _head(db, t.id, slot=0)
+    await db.commit()
     res = await SuggestionService(db).for_selection([a.id, b.id], threshold=0.8)
-    gen = res["general"]
-    assert any(s["canonical_tag_id"] == t.id for s in gen)
-    s = next(s for s in gen if s["canonical_tag_id"] == t.id)
-    assert s["coverage"] == 1.0
-    assert 0.95 <= s["confidence"] <= 0.97
+    s = next(s for s in res["general"] if s["canonical_tag_id"] == t.id)
+    assert s["coverage"] == 1.0          # suggested on both
+    assert s["confidence"] > 0.5
 
 
 @pytest.mark.asyncio
 async def test_consensus_counts_already_applied_for_coverage(db):
-    tags = TagService(db)
-    t = await tags.find_or_create("sky", TagKind.general)
-    a = _img("c" * 64)
-    b = _img("d" * 64)  # no prediction
-    db.add_all([a, b])
-    await db.flush()
-    await seed_predictions(db, a.id, {"sky": {"category": "general", "confidence": 0.96}})
-    # b already has the tag applied -> counts toward coverage, not confidence
+    t = await TagService(db).find_or_create("sky", TagKind.general)
+    a = await _img(db, "c" * 64, _emb(0))   # head suggests it
+    b = await _img(db, "d" * 64, None)       # no embedding; tag applied instead
+    await _head(db, t.id, slot=0)
     await db.execute(
         image_tag.insert().values(
             image_record_id=b.id, tag_id=t.id, source="manual"
         )
     )
+    await db.commit()
     res = await SuggestionService(db).for_selection([a.id, b.id], threshold=0.8)
     s = next(s for s in res["general"] if s["canonical_tag_id"] == t.id)
     assert s["coverage"] == 1.0          # 1 suggested + 1 applied / 2
-    assert s["confidence"] == pytest.approx(0.96, abs=1e-4)
 
 
 @pytest.mark.asyncio
 async def test_consensus_excludes_below_threshold(db):
-    tags = TagService(db)
-    await tags.find_or_create("rare", TagKind.general)
-    a = _img("e" * 64)
-    b = _img("f" * 64)
-    db.add_all([a, b])
-    await db.flush()
-    await seed_predictions(db, a.id, {"rare": {"category": "general", "confidence": 0.96}})
+    t = await TagService(db).find_or_create("rare", TagKind.general)
+    a = await _img(db, "e" * 64, _emb(0))   # suggested here
+    b = await _img(db, "f" * 64, None)       # not here → coverage 0.5 < 0.8
+    await _head(db, t.id, slot=0)
+    await db.commit()
     res = await SuggestionService(db).for_selection([a.id, b.id], threshold=0.8)
-    assert all(
-        s["name"] != "rare" for s in res.get("general", [])
-    )  # coverage 0.5 < 0.8
-
-
-@pytest.mark.asyncio
-async def test_consensus_skips_creates_new_tag(db):
-    a = _img("g" * 64)
-    b = _img("h" * 64)
-    db.add_all([a, b])
-    await db.flush()
-    await seed_predictions(db, a.id, {"neverseen": {"category": "general", "confidence": 0.99}})
-    await seed_predictions(db, b.id, {"neverseen": {"category": "general", "confidence": 0.99}})
-    res = await SuggestionService(db).for_selection([a.id, b.id], threshold=0.8)
-    # 'neverseen' has no Tag row -> creates_new_tag -> excluded from consensus
-    assert all(s["name"] != "neverseen" for s in res.get("general", []))
+    assert all(s["name"] != "rare" for s in res.get("general", []))
 
 
 @pytest.mark.asyncio
@@ -93,13 +89,9 @@ async def test_consensus_threshold_clamped_and_empty_for_no_ids(db):
 
 @pytest.mark.asyncio
 async def test_bulk_suggestions_route(db):
-
-    tags = TagService(db)
-    await tags.find_or_create("sword", TagKind.general)
-    a = _img("i" * 64)
-    db.add(a)
-    await db.commit()
-    await seed_predictions(db, a.id, {"sword": {"category": "general", "confidence": 0.97}})
+    t = await TagService(db).find_or_create("sword", TagKind.general)
+    a = await _img(db, "i" * 64, _emb(0))
+    await _head(db, t.id, slot=0)
     await db.commit()
     app = create_app()
     async with app.test_client() as c:
@@ -115,7 +107,6 @@ async def test_bulk_suggestions_route(db):
 
 @pytest.mark.asyncio
 async def test_bulk_suggestions_requires_ids(db):
-
     app = create_app()
     async with app.test_client() as c:
         resp = await c.post("/api/suggestions/bulk", json={})