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Reinforcement Learning (RL) traditionally relies on scalar reward signals, limiting its ability to leverage the rich semantic knowledge often available in real-world tasks. In contrast, humans learn efficiently by combining numerical…

This study presents a systematic comparison of three Reinforcement Learning (RL) algorithms (PPO, GRPO, and DAPO) for improving complex reasoning in large language models (LLMs). Our main contribution is a controlled transfer-learning…

Artificial Intelligence · Computer Science 2025-12-09 Yongsheng Lian

Reinforcement learning (RL) has emerged as a powerful framework for improving the reasoning capabilities of large language models (LLMs). However, most existing RL approaches rely on sparse outcome rewards, which fail to credit correct…

Machine Learning · Computer Science 2026-01-28 Haolin Liu , Dian Yu , Sidi Lu , Yujun Zhou , Rui Liu , Zhenwen Liang , Haitao Mi , Chen-Yu Wei , Dong Yu

Recent advances in large language models (LLMs) have introduced latent reasoning as a promising alternative to autoregressive reasoning. By performing internal computation with hidden states from previous steps, latent reasoning benefit…

Computation and Language · Computer Science 2025-10-24 Zhenrui Yue , Bowen Jin , Huimin Zeng , Honglei Zhuang , Zhen Qin , Jinsung Yoon , Lanyu Shang , Jiawei Han , Dong Wang

Reinforcement Learning with Verifiable Rewards (RLVR), primarily driven by the Group Relative Policy Optimization (GRPO) algorithm, is a leading approach for enhancing the reasoning abilities of Large Language Models (LLMs). Despite its…

Machine Learning · Computer Science 2025-10-21 Kangqi Ni , Zhen Tan , Zijie Liu , Pingzhi Li , Tianlong Chen

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as an indispensable paradigm for enhancing reasoning in Large Language Models (LLMs). However, standard policy optimization methods, such as Group Relative Policy…

Machine Learning · Computer Science 2026-02-09 Pengyi Li , Elizaveta Goncharova , Andrey Kuznetsov , Ivan Oseledets

Existing open-source multimodal large language models (MLLMs) generally follow a training process involving pre-training and supervised fine-tuning. However, these models suffer from distribution shifts, which limit their multimodal…

Computation and Language · Computer Science 2025-04-08 Weiyun Wang , Zhe Chen , Wenhai Wang , Yue Cao , Yangzhou Liu , Zhangwei Gao , Jinguo Zhu , Xizhou Zhu , Lewei Lu , Yu Qiao , Jifeng Dai

While Reinforcement Learning from Verifiable Rewards (RLVR) has advanced reasoning in Large Vision-Language Models (LVLMs), prevailing frameworks suffer from a foundational methodological flaw: by distributing identical advantages across…

Artificial Intelligence · Computer Science 2026-04-09 Zekai Ye , Qiming Li , Xiaocheng Feng , Ruihan Chen , Ziming Li , Haoyu Ren , Kun Chen , Dandan Tu , Bing Qin

We argue that decomposing reward into weighted, verifiable criteria and using an LLM judge to score them provides a partial-credit optimization signal: instead of a binary outcome or a single holistic score, each response is graded along…

Artificial Intelligence · Computer Science 2026-05-11 Manish Bhattarai , Ismael Boureima , Nishath Rajiv Ranasinghe , Scott Pakin , Dan O'Malley

Generating accurate and executable code using Large Language Models (LLMs) remains a significant challenge for underrepresented programming languages, such as Prolog and Lisp, due to the scarcity of public training data compared to…

Machine Learning · Computer Science 2026-05-26 Federico Pennino , Bianca Raimondi , Massimo Rondelli , Andrea Gurioli , Maurizio Gabbrielli

Tables are a fundamental medium for organizing and analyzing data, making table reasoning a critical capability for intelligent systems. Although large language models (LLMs) exhibit strong general reasoning abilities, they still struggle…

Artificial Intelligence · Computer Science 2026-03-24 Lang Cao , Jingxian Xu , Hanbing Liu , Jinyu Wang , Mengyu Zhou , Haoyu Dong , Shi Han , Dongmei Zhang

Large Language Models (LLMs) have demonstrated remarkable capabilities in knowledge acquisition, reasoning, and tool use, making them promising candidates for autonomous agent applications. However, training LLM agents for complex…

Machine Learning · Computer Science 2025-12-09 Hanjiang Hu , Changliu Liu , Na Li , Yebin Wang

The effective training of Large Language Models (LLMs) for function calling faces a critical challenge: balancing exploration of complex reasoning paths with stable policy optimization. Standard methods like Supervised Fine-Tuning (SFT)…

Reinforcement Learning with Verifiable Rewards (RLVR) enhances Large Language Model (LLM) reasoning but suffers from advantage collapse on ``hard samples'' where all rollouts fail. This lack of variance eliminates crucial learning signals.…

Machine Learning · Computer Science 2026-05-08 Xinyu Lu , Kaiqi Zhang , Jinglin Yang , Boxi Cao , Yaojie Lu , Hongyu Lin , Min He , Xianpei Han , Le Sun

Reinforcement learning from verifiable rewards (RLVR), especially with Group Relative Policy Optimization (GRPO), has shown strong potential for improving the reasoning capabilities of large vision-language models (LVLMs). However, in…

Artificial Intelligence · Computer Science 2026-05-11 Bingqing Jiang , Difan Zou

Reinforcement learning with verifiable rewards (RLVR) has improved the reasoning ability of large language models, yet training remains costly because many rollouts contribute little to optimization, considering the amount of computation…

Machine Learning · Computer Science 2026-02-20 Yan Sun , Jia Guo , Stanley Kok , Zihao Wang , Zujie Wen , Zhiqiang Zhang

We present an outcome-driven fine-tuning framework that enhances the forecasting capabilities of large language models (LLMs) without relying on human-curated reasoning samples. Our method leverages model self-play to generate pairs of…

Computation and Language · Computer Science 2025-02-11 Benjamin Turtel , Danny Franklin , Philipp Schoenegger

Group Relative Policy Optimization (GRPO) has become the dominant method for reinforcement learning with verifiable rewards in large language models, but it suffers from two critical limitations: gradient vanishing and diversity collapse.…

Machine Learning · Computer Science 2026-05-20 Khiem Le , Phuc Nguyen , Youssef Mroueh , Chi-Heng Lin , Shangqian Gao , Ting Hua , Nitesh V. Chawla

Reward-based alignment methods for large language models (LLMs) face two key limitations: vulnerability to reward hacking, where models exploit flaws in the reward signal; and reliance on brittle, labor-intensive prompt engineering when…

Computation and Language · Computer Science 2025-05-20 Zae Myung Kim , Chanwoo Park , Vipul Raheja , Suin Kim , Dongyeop Kang

Alignment of large language models (LLMs) has predominantly relied on pairwise preference optimization, where annotators select the better of two responses to a prompt. While simple, this approach overlooks the opportunity to learn from…

Machine Learning · Computer Science 2026-02-11 Yuxuan Tang , Yifan Feng