PACR: Progressively Ascending Confidence Reward for LLM Reasoning

Fuente: arXiv
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Autores principales: Yoon, Eunseop, Yoon, Hee Suk, Jang, Jaehyun, Eom, SooHwan, Dai, Qi, Luo, Chong, Hasegawa-Johnson, Mark A., Yoo, Chang D.
Formato: Preprint
Publicado: 2025
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author Yoon, Eunseop
Yoon, Hee Suk
Jang, Jaehyun
Eom, SooHwan
Dai, Qi
Luo, Chong
Hasegawa-Johnson, Mark A.
Yoo, Chang D.
author_facet Yoon, Eunseop
Yoon, Hee Suk
Jang, Jaehyun
Eom, SooHwan
Dai, Qi
Luo, Chong
Hasegawa-Johnson, Mark A.
Yoo, Chang D.
contents Reinforcement Learning with Verifiable Rewards (RLVR) has significantly improved LLM reasoning, but its sparse, outcome-based reward provides no guidance for intermediate steps, slowing exploration. We propose Progressively Ascending Confidence Reward (PACR), a dense, model-intrinsic reward computed directly from the model's evolving belief in the correct answer. PACR encodes the inductive bias that, along a well-formed reasoning trajectory, the probability of the ground-truth answer should have a generally ascending trend. We provide empirical and theoretical analysis validating that such an inductive bias constrains the exploration search space to regions richer in logically sound reasoning. We demonstrate that PACR accelerates exploration, reaches reward saturation with fewer trajectories, and yields improvements on multiple benchmarks. Our results suggest that dense, model-intrinsic shaping signals can make RLVR training more effective and reliable.
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id arxiv_https___arxiv_org_abs_2510_22255
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle PACR: Progressively Ascending Confidence Reward for LLM Reasoning
Yoon, Eunseop
Yoon, Hee Suk
Jang, Jaehyun
Eom, SooHwan
Dai, Qi
Luo, Chong
Hasegawa-Johnson, Mark A.
Yoo, Chang D.
Artificial Intelligence
Computation and Language
Reinforcement Learning with Verifiable Rewards (RLVR) has significantly improved LLM reasoning, but its sparse, outcome-based reward provides no guidance for intermediate steps, slowing exploration. We propose Progressively Ascending Confidence Reward (PACR), a dense, model-intrinsic reward computed directly from the model's evolving belief in the correct answer. PACR encodes the inductive bias that, along a well-formed reasoning trajectory, the probability of the ground-truth answer should have a generally ascending trend. We provide empirical and theoretical analysis validating that such an inductive bias constrains the exploration search space to regions richer in logically sound reasoning. We demonstrate that PACR accelerates exploration, reaches reward saturation with fewer trajectories, and yields improvements on multiple benchmarks. Our results suggest that dense, model-intrinsic shaping signals can make RLVR training more effective and reliable.
title PACR: Progressively Ascending Confidence Reward for LLM Reasoning
topic Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2510.22255