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Large Language Models (LLMs) are increasingly deployed in business-critical domains such as finance, education, healthcare, and customer support, where users expect consistent and reliable recommendations. Yet LLMs often exhibit variability…

Machine Learning · Computer Science 2026-04-20 Sonal Prabhune , Balaji Padmanabhan , Kaushik Dutta

Reinforcement learning with verifiable reward (RLVR) has been instrumental in eliciting strong reasoning capabilities from large language models (LLMs) via long chains of thought (CoT). During RLVR training, we formalize and systemically…

Computation and Language · Computer Science 2026-02-24 Cheonbok Park , Jeonghoon Kim , Joosung Lee , Sanghwan Bae , Jaegul Choo , Kang Min Yoo

Reinforcement Learning (RL) has emerged as a transformative approach for aligning and enhancing Large Language Models (LLMs), addressing critical challenges in instruction following, ethical alignment, and reasoning capabilities. This…

Artificial Intelligence · Computer Science 2025-07-08 Saksham Sahai Srivastava , Vaneet Aggarwal

The rapid development of large language model (LLM) alignment algorithms has resulted in a complex and fragmented landscape, with limited clarity on the effectiveness of different methods and their inter-connections. This paper introduces…

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

Reinforcement learning (RL) has emerged as a powerful tool for fine-tuning large language models (LLMs) to improve complex reasoning abilities. However, state-of-the-art policy optimization methods often suffer from high computational…

Machine Learning · Computer Science 2025-05-28 Kianté Brantley , Mingyu Chen , Zhaolin Gao , Jason D. Lee , Wen Sun , Wenhao Zhan , Xuezhou Zhang

Process reward models (PRMs) allow for fine-grained credit assignment in reinforcement learning (RL), and seemingly contrast with outcome reward models (ORMs), which assign a single reward to an entire trajectory. However, we provide…

Machine Learning · Computer Science 2026-05-29 Michael Sullivan , Alexander Koller

While Reinforcement Learning with Verifiable Rewards (RLVR) enhances complex reasoning in LLMs, current methods struggle to balance exploration and exploitation. This leads to critical issues like inaccurate credit assignment for…

Machine Learning · Computer Science 2025-10-13 Junxi Yin , Haisen Luo , Zhenyu Li , Yihua Liu , Dan Liu , Zequn Li , Xiaohang Xu

Recent advances in Large Language Model (LLM) agents have demonstrated their promising general capabilities. However, their performance in specialized real-world domains often degrades due to challenges in effectively integrating external…

Computation and Language · Computer Science 2025-10-10 Yuzheng Cai , Siqi Cai , Yuchen Shi , Zihan Xu , Lichao Chen , Yulei Qin , Xiaoyu Tan , Gang Li , Zongyi Li , Haojia Lin , Yong Mao , Ke Li , Xing Sun

Large reasoning models (LRMs) have recently shown promise in solving complex math problems when optimized with Reinforcement Learning (RL). But conventional approaches rely on outcome-only rewards that provide sparse feedback, resulting in…

Machine Learning · Computer Science 2025-08-01 Tao He , Rongchuan Mu , Lizi Liao , Yixin Cao , Ming Liu , Bing Qin

This work studies reinforcement learning (RL) in the context of multi-period supply chains subject to constraints, e.g., on production and inventory. We introduce Distributional Constrained Policy Optimization (DCPO), a novel approach for…

Machine Learning · Computer Science 2023-02-06 Jaime Sabal Bermúdez , Antonio del Rio Chanona , Calvin Tsay

Mathematical reasoning is a crucial capability for Large Language Models (LLMs), yet generating detailed and accurate reasoning traces remains a significant challenge. This paper introduces a novel approach to produce high-quality reasoning…

Computation and Language · Computer Science 2024-10-30 Yihe Deng , Paul Mineiro

Optimizing large language models (LLMs) for multi-turn conversational outcomes remains a significant challenge, especially in goal-oriented settings like AI marketing or sales agents who facilitate transactions via messaging platforms. The…

Machine Learning · Computer Science 2025-11-27 Daniel R. Jiang , Jalaj Bhandari , Yukai Yang , Rémi Munos , Tyler Lu

Proximal Policy Optimisation (PPO) is an established and effective policy gradient algorithm used for Language Model Reinforcement Learning from Human Feedback (LM-RLHF). PPO performs well empirically but has a heuristic motivation and…

Computation and Language · Computer Science 2025-08-26 Jason R Brown , Lennie Wells , Edward James Young , Sergio Bacallado

Large Language Models (LLMs) are increasingly embedded in enterprise workflows, yet their performance remains highly sensitive to prompt design. Automatic Prompt Optimization (APO) seeks to mitigate this instability, but existing approaches…

Artificial Intelligence · Computer Science 2026-02-03 Wei Chen , Yanbin Fang , Shuran Fu , Fasheng Xu , Xuan Wei

Recent advances of reasoning models, exemplified by OpenAI's o1 and DeepSeek's R1, highlight the significant potential of Reinforcement Learning (RL) to enhance the reasoning capabilities of Large Language Models (LLMs). However,…

While multimodal large language models excel at tasks that integrate visual perception with symbolic reasoning, their performance is often undermined by a critical vulnerability: perception-induced errors that propagate through the…

Multimedia · Computer Science 2025-09-29 Songjun Tu , Qichao Zhang , Jingbo Sun , Yuqian Fu , Linjing Li , Xiangyuan Lan , Dongmei Jiang , Yaowei Wang , Dongbin Zhao

Automatic prompt optimization has recently emerged as a strategy for improving the quality of prompts used in Large Language Models (LLMs), with the goal of generating more accurate and useful responses. However, most prior work focuses on…

Computation and Language · Computer Science 2025-10-06 Juhyeon Lee , Wonduk Seo , Hyunjin An , Seunghyun Lee , Yi Bu

Recent advances in reinforcement learning (RL) have significantly improved the complex reasoning capabilities of large language models (LLMs). Despite these successes, existing methods mainly focus on single-domain RL (e.g., mathematics)…

Artificial Intelligence · Computer Science 2025-11-20 Baolong Bi , Shenghua Liu , Yiwei Wang , Siqian Tong , Lingrui Mei , Yuyao Ge , Yilong Xu , Jiafeng Guo , Xueqi Cheng

Recent advances in reinforcement learning (RL) using numerical rewards have significantly enhanced the complex reasoning capabilities of large language models (LLMs). However, we identify three fundamental limitations of purely numerical…

Computation and Language · Computer Science 2026-02-23 Xiaoying Zhang , Yipeng Zhang , Hao Sun , Kaituo Feng , Chaochao Lu , Chao Yang , Helen Meng