ResearchResearch paperEfficiency & Inference · Training & Scaling · Interpretability2 sources · Oct 14, 2026

Robust Explanatory Analysis for Structured Optimization Networks (REASON) in Learning

We seek a hierarchical resolution of residual error under a composite learning objective as a principled mechanism for identifying and exploiting additional information, particularly under distribution shift and perturbation.

Key points

  • Inspired by the System 1/System 2 paradigm, we formulate this principle as a two-loop mechanism serving a common inference goal.
  • A fast, System 1-like loop resolves the residual addressable by the available evidence; the remaining epistemic residual triggers a medium speed, System 2-like loop that actively acquires additional evidence and measures its informational value through residual reduction.
  • Over nested solution spaces, the medium-loop optimum is provably no worse than the fast-loop optimum.
  • Experiments show that the resulting two-loop model consistently improves upon the fast loop at approximately half the computation of the medium loop, including under unseen corruptions, and, when provided a cleaner observation, outperforms staged classifiers and learning-to-defer methods at equal computational cost.

Sources (2)

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