Gate 1 Post-Mortem β Subspace validity FAIL
Date: 2026-06-18 Gate: 1 (subspace validity) β the load-bearing, "most likely failure point" per IMPLEMENTATION_SPEC. Outcome: FAIL. Neither label-free lesion-subspace construction localizes LIDC nodules better than a CLS-attention saliency comparator; both barely beat random.
What was tested
Token-level lesion-membership AUROC on held-out LIDC val patches (916,496 patches over 4,676
slices: 2,338 lesion-bearing + 2,338 sampled negatives; lesion prevalence 0.48%). Patch masks
were materialized fresh from TCIA DICOM-SEG (z-ordered, image+mask written together β see
jobs/materialize_lidc_masks_job.py), because the original eryon manifest's per-slice nodule
positions were found to be misaligned with the authoritative SEG under every slice ordering.
Scores compared, all from the frozen MedDINOv3 ViT-B/16 features:
- Construction A: density / kNN-sparse (mean k-NN distance to the 2.1M-token CT bank).
- Construction B: normal-manifold residual (β(I β UUα΅)zβ, U = top-64 PCA of the bank).
- Comparator: CLS-to-patch attention from the last block (exact, captured from SDPA).
- Comparator: random.
Result
| Scorer | AUROC | 95% CI (DeLong) |
|---|---|---|
| Attention-saliency | 0.767 | [0.761, 0.773] |
| Construction A (density) | 0.565 | [0.558, 0.572] |
| Construction B (residual) | 0.551 | [0.544, 0.558] |
| Random | 0.511 | [0.503, 0.520] |
DeLong paired differences: A β attention = β0.202 [β0.209, β0.194]; B β attention = β0.216 [β0.223, β0.208]. Both exclude 0 in the wrong direction (p β 0).
Dice@q0.9 vs mask (weak, but > random proxy ~0.005): A 0.079 (>3-patch) / 0.023 (1β3 patch); B 0.067 / 0.020.
Interpretation
The central, explicitly-flagged assumption β the label-free lesion subspace L(x) localizes lesions without labels in MedDINOv3 feature space β does not hold as constructed. Both the density-sparsity prior (Construction A) and the normal-manifold-residual prior (Construction B) carry only weak lesion signal (AUROC ~0.55β0.56), and are decisively beaten by the simplest supervised-free saliency the spec named as the comparator.
The attention comparator scoring 0.767 on the same patches confirms the evaluation is sound (masks, patch rasterization, and alignment are correct) β so this is a true property of the constructions, not an eval artifact. The likely mechanism: in CT, "rare / low-density / high-residual" tokens are dominated by non-lesion rarities (body-boundary, airβtissue interfaces, vessels, motion) rather than nodules, so geometric rarity is not specific to pathology. Attention, by contrast, is shaped by the SSL objective toward salient structure.
Per IMPLEMENTATION_SPEC Gate 1 ("If FAIL: Stop. The method reduces to generic coverage regularization."): the constrained token-economy contribution rests on L(x) being lesion- specific. With L(x) non-specific, the coverage floor would protect generic rare-token directions, not lesions β so the headline Gate 3 claim (beating saliency on small-lesion miss rate) is unlikely, and saliency is in fact the stronger localizer here.
Status of the negative result
This is a clean, publishable negative result of the kind the spec anticipates ("when does coverage-constrained pruning fail, and why"): on a frozen medical SSL backbone, label-free geometric lesion subspaces (density-sparse / normal-residual) do not localize lesions competitively with attention saliency, undermining the premise that motivates a coverage floor.
Options for the human (Gate 1 GO/NO-GO)
- Accept the FAIL / write up the negative result. Spec-compliant default: stop the direction here (cheapest place to die) and publish the negative finding.
- Authorize bounded construction variants before final NO-GO (an explicit deviation, not threshold-tuning): e.g. lesion-subspace projection-energy score βP_L zβ instead of raw density/residual; background/air-token masking before density estimation; rank/Ξ±/Ο sweep; or a hybrid (residual Γ attention). These probe whether the failure is the prior or its operationalization. None may touch labels (subspace stays label-free).
- Pivot the comparison framing to "coverage floor on the attention-defined salient set" β but that abandons the label-free-geometry novelty and is effectively a different paper.
No further phases proceed without an explicit human decision (HALT).