ResearchResearch paperLarge Language Models1 source · Oct 13, 2026

Bayesian Test-Time Inference of Task-Aligned Similarity from Weak Interactive Feedback

Language model systems repeatedly make test-time decisions by comparing similarity: they retrieve exemplars, rank candidates, and revise responses.

Key points

  • Yet similarity is not unique: lexical, semantic, structural, and stylistic resemblance can point to different candidates, and the task-aligned notion can change across instances.
  • We introduce BASIS (Bayesian Axis Selection via Interactive Signals), a training-free Bayesian method that uses weak test-time feedback to infer which criterion in a supplied, task-specific library governs the current decision.
  • In a finite noisy model, we characterize when the target-criterion pair is recoverable and show why fixed-criterion and fixed-mixture rules can fail under criterion shift.
  • Across concept recovery, reasoning exemplar selection, and response refinement, BASIS improves six-probe concept-recovery Success@1 from 56.0% to 68.1%, reasoning accuracy from 72.3% to 73.1%, and refinement win rate from 61.4% to 63.8% over tuned static mixtures.

Sources (1)

  • [1]Bayesian Test-Time Inference of Task-Aligned Similarity from Weak Interactive Feedback
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 13, 04:19 PM
    Language model systems repeatedly make test-time decisions by comparing similarity: they retrieve exemplars, rank candidates, and revise responses.
    Yet similarity is not unique: lexical, semantic, structural, and stylistic resemblance can point to different candidates, and the task-aligned notion can change across instances.

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