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Outcome-rewarded Large Language Models (LLMs) have demonstrated remarkable success in mathematical problem-solving. However, this success often masks a critical issue: models frequently achieve correct answers through fundamentally unsound…

Computation and Language · Computer Science 2025-06-25 Jiaxing Guo , Wenjie Yang , Shengzhong Zhang , Tongshan Xu , Lun Du , Da Zheng , Zengfeng Huang

On-Policy Self-Distillation (OPSD) has recently emerged as an alternative to Reinforcement Learning with Verifiable Rewards (RLVR), promising higher accuracy and shorter responses through token-level credit assignment from a self-teacher…

Artificial Intelligence · Computer Science 2026-05-08 Jaehoon Kim , Dongha Lee

The OpenAI o1-series models have demonstrated that leveraging long-form Chain of Thought (CoT) can substantially enhance performance. However, the recursive thinking capabilities of Large Language Models (LLMs) remain limited, particularly…

Computation and Language · Computer Science 2025-06-09 Haoke Zhang , Xiaobo Liang , Cunxiang Wang , Juntao Li , Min Zhang

Large Language Models (LLMs) have shown strong reasoning capabilities, with models like OpenAI's O-series and DeepSeek R1 excelling at tasks such as mathematics, coding, logic, and puzzles through Reinforcement Learning with Verifiable…

Artificial Intelligence · Computer Science 2025-10-21 Xiaozhe Li , Xinyu Fang , Shengyuan Ding , Linyang Li , Haodong Duan , Qingwen Liu , Kai Chen

In recent years, large language models have greatly improved in their ability to perform complex multi-step reasoning. However, even state-of-the-art models still regularly produce logical mistakes. To train more reliable models, we can…

Verification is one of the central tasks in circuit and system design. While simulation and emulation are widely used, complete correctness can only be ensured based on formal proof techniques. But these approaches often have very high run…

Logic in Computer Science · Computer Science 2025-05-30 Rolf Drechsler

As artificial intelligence (AI) gains greater adoption in a wide variety of applications, it has immense potential to contribute to mathematical discovery, by guiding conjecture generation, constructing counterexamples, assisting in…

Artificial Intelligence · Computer Science 2023-10-27 Hassen Saidi , Susmit Jha , Tuhin Sahai

During reasoning in vision-language models (VLMs), false positive (FP) reasoning occurs when a model produces the correct answer but follows an incorrect reasoning path, resulting in undermined reasoning reliability. Existing approaches…

Computer Vision and Pattern Recognition · Computer Science 2025-11-06 Ben Zhang , LuLu Yu , Lei Gao , QuanJiang Guo , Jing Liu , Hui Gao

Through encouraging self-exploration, reinforcement learning from verifiable rewards (RLVR) has significantly advanced the mathematical reasoning capabilities of large language models. As the starting point for RLVR, the capacity of…

Machine Learning · Computer Science 2026-03-18 Yongyu Mu , Jiali Zeng , Fandong Meng , JingBo Zhu , Tong Xiao

Reinforcement learning from verifiable rewards (RLVR) has recently been extended from text-only LLMs to vision-language models (VLMs) to elicit long-chain multimodal reasoning. However, RLVR-trained VLMs still exhibit two persistent failure…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Hoang Anh Just , Yifei Fan , Handong Zhao , Jiuxiang Gu , Ruiyi Zhang , Simon Jenni , Kushal Kafle , Ruoxi Jia , Jing Shi

Transformer-based large language models (LLMs) have achieved great success with the growing model size. LLMs' size grows by $240\times$ every two years, which outpaces the hardware progress and makes model inference increasingly costly.…

Hardware Architecture · Computer Science 2023-04-18 Cong Guo , Jiaming Tang , Weiming Hu , Jingwen Leng , Chen Zhang , Fan Yang , Yunxin Liu , Minyi Guo , Yuhao Zhu

Reinforcement Learning with Verifiable Rewards (RLVR) has become a promising paradigm for scaling reasoning capabilities of Large Language Models (LLMs). However, the sparsity of binary verifier rewards often leads to low efficiency and…

Machine Learning · Computer Science 2026-05-22 Shuo Yang , Jinda Lu , Kexin Huang , Chiyu Ma , Shaohang Wei , Yuyang Liu , Guoyin Wang , Jingren Zhou , Li Yuan

Reinforcement Learning with Verifiable Rewards (RLVR) effectively trains reasoning models that rely on abundant perfect labels, but its vulnerability to unavoidable noisy labels due to expert scarcity remains critically underexplored. In…

Machine Learning · Computer Science 2026-04-07 Shenzhi Yang , Guangcheng Zhu , Bowen Song , Sharon Li , Haobo Wang , Xing Zheng , Yingfan Ma , Zhongqi Chen , Weiqiang Wang , Gang Chen

Chain-of-Thought (CoT) reasoning has advanced the capabilities and transparency of language models (LMs); however, reasoning chains can contain inaccurate statements that reduce performance and trustworthiness. To address this, we propose…

Machine Learning · Computer Science 2026-02-18 Minsu Kim , Jean-Pierre Falet , Oliver E. Richardson , Xiaoyin Chen , Moksh Jain , Sungjin Ahn , Sungsoo Ahn , Yoshua Bengio

In recent months, large language models (LLMs) have made significant progress in mathematical proof generation, but further advancement is hindered by the lack of a large-scale, high-quality dataset of human-evaluated proofs. While…

The VAPO framework has demonstrated significant empirical success in enhancing the efficiency and reliability of reinforcement learning for long chain-of-thought (CoT) reasoning tasks with large language models (LLMs). By systematically…

Machine Learning · Computer Science 2025-05-28 Jintian Shao , Yiming Cheng , Hongyi Huang , Beiwen Zhang , Zhiyu Wu , You Shan , Mingkai Zheng

The reasoning capabilities of large language models (LLMs) have improved substantially through increased test-time computation, typically in the form of intermediate tokens known as chain-of-thought (CoT). However, CoT often becomes…

Computation and Language · Computer Science 2026-01-07 Nathanaël Carraz Rakotonirina , Ren Pang , Neha Anna John , Michael Bohlke-Schneider , Momchil Hardalov

Large language models (LLMs) continue to struggle with mathematical reasoning, and common post-training pipelines often reduce each generated solution to a binary outcome: correct or incorrect. This perspective is limiting in practice, as…

Machine Learning · Computer Science 2026-04-15 Haocheng Lu , Minjun Zhu , Henry Yu

Supervised fine-tuning (SFT) on long chain-of-thought (CoT) trajectories has emerged as a crucial technique for enhancing the reasoning abilities of large language models (LLMs). However, the standard cross-entropy loss treats all tokens…

Computation and Language · Computer Science 2026-04-21 Xuan Gong , Senmiao Wang , Hanbo Huang , Ruoyu Sun , Shiyu Liang

We present VAPO, Value-based Augmented Proximal Policy Optimization framework for reasoning models., a novel framework tailored for reasoning models within the value-based paradigm. Benchmarked the AIME 2024 dataset, VAPO, built on the Qwen…