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Beyond Confidence: Stability-Aware Test-Time Adaptation for LLM Reasoning

arxiv.org/abs/2609.11393

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Updated 57 min ago · first seen 12 Sept 2026

paper_01M29X34MGM8QYCNCVM4CPJY7Y

Published
12 Sept 2026
T1 · 57 min ago
arXiv
2609.11393
T1 · 57 min ago
Category
cs.AI
T1 · 57 min ago

Abstract

Test-time adaptation has emerged as a lightweight alternative to costly post-training for improving the reasoning capabilities of Large Language Models (LLMs) on downstream tasks. Predictive entropy provides a model-derived signal for such adaptation, guiding models toward higher-confidence reasoning states without external verifiers or reward models. However, higher confidence does not necessarily imply correctness, as LLMs may remain highly confident along incorrect reasoning trajectories. We observe that high-confidence reasoning is more likely to be correct when confidence remains stable under local perturbations. Based on this observation, we propose Test-Time Adaptation via Stability-Aware Confidence Optimization (TASCO), a framework that incorporates local stability into confidence-based test-time adaptation while keeping the LLM frozen. TASCO operationalizes local stability by optimizing a lightweight task-level prefix under two alternative perturbation strategies: Random Perturbation promotes distributional stability across trajectories induced by nearby perturbed prefixes, whereas Sharpness-Aware Perturbation targets worst-case local sensitivity. Experiments demonstrate that TASCO improves reasoning accuracy and token efficiency across diverse LLMs and reasoning benchmarks, while behavioral analyses show that it maintains stable confidence under local perturbations without prematurely concentrating the model's predictive distribution.

Authors 6

Bincheng Gu, Junliang Yu, Min Gao, Yibing Bai, Yulan He, Zongwei Wang

Specification

Official page

Source:arXiv (Atom API + RSS)T1observed 57 min agohigh

Arxiv announce type
new

Source:arXiv (Atom API + RSS)T1observed 57 min agohigh

arXiv id
2609.11393

Source:arXiv (Atom API + RSS)T1observed 57 min agohigh

Categories
cs.AI

Source:arXiv (Atom API + RSS)T1observed 57 min agohigh

PDF

Source:arXiv (Atom API + RSS)T1observed 57 min agohigh

Primary category
cs.AI

Source:arXiv (Atom API + RSS)T1observed 57 min agohigh

Published
12 Sept 2026

Source:arXiv (Atom API + RSS)T1observed 57 min agohigh

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Provenance

Attributed facts

9

Source tiers

T19

Freshest observation

57 min ago

Conflicts

None