Online Reasoning Calibration: Test-Time Training Enables Generalizable Conformal LLM Reasoning

Fuente: arXiv
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Hauptverfasser: Zhou, Cai, Wang, Zekai, Wu, Menghua, Zhu, Qianyu Julie, Shi, Flora C., Wang, Chenyu, Wilson, Ashia, Jaakkola, Tommi, Bates, Stephen
Format: Preprint
Veröffentlicht: 2026
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author Zhou, Cai
Wang, Zekai
Wu, Menghua
Zhu, Qianyu Julie
Shi, Flora C.
Wang, Chenyu
Wilson, Ashia
Jaakkola, Tommi
Bates, Stephen
author_facet Zhou, Cai
Wang, Zekai
Wu, Menghua
Zhu, Qianyu Julie
Shi, Flora C.
Wang, Chenyu
Wilson, Ashia
Jaakkola, Tommi
Bates, Stephen
contents While test-time scaling has enabled large language models to solve highly difficult tasks, state-of-the-art results come at exorbitant compute costs. These inefficiencies can be attributed to the miscalibration of post-trained language models, and the lack of calibration in popular sampling techniques. Here, we present Online Reasoning Calibration (ORCA), a framework for calibrating the sampling process that draws upon conformal prediction and test-time training. Specifically, we introduce a meta-learning procedure that updates the calibration module for each input. This allows us to provide valid confidence estimates under distributional shift, e.g. in thought patterns that occur across different stages of reasoning, or in prompt distributions between model development and deployment. ORCA not only provides theoretical guarantees on conformal risks, but also empirically shows higher efficiency and generalization across different reasoning tasks. At risk level $δ=0.1$, ORCA improves Qwen2.5-32B efficiency on in-distribution tasks with savings up to 47.5% with supervised labels and 40.7% with self-consistency labels. Under zero-shot out-of-domain settings, it improves MATH-500 savings from 24.8% of the static calibration baseline to 67.0% while maintaining a low empirical error rate, and the same trend holds across model families and downstream benchmarks. Our code is publicly available at https://github.com/wzekai99/ORCA.
format Preprint
id arxiv_https___arxiv_org_abs_2604_01170
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Online Reasoning Calibration: Test-Time Training Enables Generalizable Conformal LLM Reasoning
Zhou, Cai
Wang, Zekai
Wu, Menghua
Zhu, Qianyu Julie
Shi, Flora C.
Wang, Chenyu
Wilson, Ashia
Jaakkola, Tommi
Bates, Stephen
Machine Learning
Artificial Intelligence
Computation and Language
Applications
While test-time scaling has enabled large language models to solve highly difficult tasks, state-of-the-art results come at exorbitant compute costs. These inefficiencies can be attributed to the miscalibration of post-trained language models, and the lack of calibration in popular sampling techniques. Here, we present Online Reasoning Calibration (ORCA), a framework for calibrating the sampling process that draws upon conformal prediction and test-time training. Specifically, we introduce a meta-learning procedure that updates the calibration module for each input. This allows us to provide valid confidence estimates under distributional shift, e.g. in thought patterns that occur across different stages of reasoning, or in prompt distributions between model development and deployment. ORCA not only provides theoretical guarantees on conformal risks, but also empirically shows higher efficiency and generalization across different reasoning tasks. At risk level $δ=0.1$, ORCA improves Qwen2.5-32B efficiency on in-distribution tasks with savings up to 47.5% with supervised labels and 40.7% with self-consistency labels. Under zero-shot out-of-domain settings, it improves MATH-500 savings from 24.8% of the static calibration baseline to 67.0% while maintaining a low empirical error rate, and the same trend holds across model families and downstream benchmarks. Our code is publicly available at https://github.com/wzekai99/ORCA.
title Online Reasoning Calibration: Test-Time Training Enables Generalizable Conformal LLM Reasoning
topic Machine Learning
Artificial Intelligence
Computation and Language
Applications
url https://arxiv.org/abs/2604.01170