ResearchResearch paperTraining & Scaling · Large Language Models · Efficiency & Inference1 source · Oct 7, 2026

Pretraining Shapes Spectral Structure: Architecture- and Strategy-Conditional Prediction of OOD Robustness in Foundation Models

Can we determine whether a foundation model will generalize out-of-distribution (OOD) before any target data is available?

Key points

  • We show the answer is encoded in the spectral structure of pretrained weights.
  • We prove that the OOD accuracy gap is bounded by how tightly the source representations concentrate.
  • The selection does not leak the target: for each model family outside the matrix we logged the cell, metric and sign before running its OOD evaluation, and the predicted direction held in every case: EEG, genomic and protein.
  • The diagnostic operates on released weights alone, so OOD robustness becomes checkable at model-selection time, before data or compute is committed to a target domain.

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