mlsanityData to 14 Oct 2026

Beyond Coordinate Gauge: An Audited Protocol for Detecting Donor-Specific Functional Fingerprints after Neural Collapse

arXiv 2607.11967 ↗First posted 12 Jul 2026cs.LG cs.AIcited by 1

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Abstract (arXiv)

Independently trained neural networks have no shared neuron-index reference frame, so comparing them requires accounting for coordinate freedom. Neural Collapse sharpens this problem: networks converge toward a shared, low-dimensional geometry, raising the question of whether trajectory-specific functional variation remains distinguishable after convergence. We distinguish three claims - detectability, transplantability, and causal persistence - and address the first. Using five independently trained networks reconstructing Neural Collapse on MNIST, we apply a verified affine-correct alignment mapping donor heads into recipient coordinates. Donor-specific functional fingerprints remain distinguishable after recipient-level baseline correction: all 20 ordered donor-recipient pairs are correctly identified, with an exact permutation p=0.0083, robust to a leakage audit. These findings establish detectability under the test used here, but not transplantability or causal persistence. The study shows how alignment, ambiguity diagnostics, and leakage control combine to test cross-network variation in a controlled setting; whether this generalizes beyond it is open.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 10 of its 12 references that are in the map. First posted on arXiv 12 Jul 2026.

Builds on

10 of 12 references.

References · 10

  1. 2019Similarity of Neural Network Representations Revisitedcited by 1,755
  2. 2020Prevalence of Neural Collapse during the terminal phase of deep learning trainingcited by 719
  3. 2022Git Re-Basin: Merging Models modulo Permutation Symmetriescited by 471
  4. 2021The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networkscited by 291
  5. 2015Convergent Learning: Do different neural networks learn the same representations?cited by 220
  6. 2021Revisiting Model Stitching to Compare Neural Representationscited by 209
  7. 2020Neural collapse with unconstrained featurescited by 142
  8. 2024Universal Neurons in GPT2 Language Modelscited by 102
  9. 2022Understanding and Improving Transfer Learning of Deep Models via Neural Collapsecited by 24
  10. 2026Neural Collapse Dynamics: Depth, Activation, Regularisation, and Feature Norm Thresholdcited by 2

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