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Paper · arXiv

A Decision-Theoretic View of Test-Time Training: When, How Far, and Which Directions to Adapt

Test-time training (TTT) adapts a pretrained model to each prompt via parameter updates, improving accuracy under pretraining-to-test distribution shifts. Yet, its performance often suffers from instability and sensitivity to hyperparameters such as update steps and subspace. We explain this behavior through a decision-theoretic lens, treating TTT as implicit Bayesian inference in the kernel regime. Under a Gaussian process benchmark, we show that TTT reduces prediction error when updates are spectrally matched to the prompt's signal-to-noise ratio and aligned with query-relevant eigen-directions. This perspective underpins the following results: (1) we show when fixed update steps and su...

AuthorsTomoya Wakayama
Primary categorycs.LG
Published14 June 2026
Last updated at source14 June 2026
cs.LGmath.STstat.ML
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