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Adaptive robust optimization (ARO) extends static robust optimization by allowing decisions to depend on the realized uncertainty - weakly dominating static solutions within the modeled uncertainty set. However, ARO makes previous…

Optimization and Control · Mathematics 2025-11-20 Karl Zhu , Dimitris Bertsimas

Adapting large language models (LLMs) for specific tasks usually involves fine-tuning through reinforcement learning with human feedback (RLHF) on preference data. While these data often come from diverse labelers' groups (e.g., different…

Computation and Language · Computer Science 2024-05-31 Shyam Sundhar Ramesh , Yifan Hu , Iason Chaimalas , Viraj Mehta , Pier Giuseppe Sessa , Haitham Bou Ammar , Ilija Bogunovic

The recent success and openness of DeepSeek-R1 have brought widespread attention to Group Relative Policy Optimization (GRPO) as a reinforcement learning method for large reasoning models (LRMs). In this work, we analyze the GRPO objective…

Machine Learning · Computer Science 2026-01-07 Gang Li , Ming Lin , Tomer Galanti , Zhengzhong Tu , Tianbao Yang

Empirical evaluation of deep learning models against adversarial attacks entails solving nontrivial constrained optimization problems. Popular algorithms for solving these constrained problems rely on projected gradient descent (PGD) and…

Machine Learning · Computer Science 2022-11-15 Hengyue Liang , Buyun Liang , Ying Cui , Tim Mitchell , Ju Sun

Large Language Models (LLMs) show promise for equation discovery, yet their outputs are highly sensitive to prompt phrasing, a phenomenon we term instruction brittleness. Static prompts cannot adapt to the evolving state of a multi-step…

Machine Learning · Computer Science 2026-01-05 Junqi Qu , Yan Zhang , Shangqian Gao , Shibo Li

Curriculum learning plays a crucial role in enhancing the training efficiency of large language models (LLMs) on reasoning tasks. However, existing methods often fail to adequately account for variations in prompt difficulty or rely on…

Machine Learning · Computer Science 2026-03-24 Yongcheng Zeng , Zexu Sun , Bokai Ji , Erxue Min , Hengyi Cai , Shuaiqiang Wang , Dawei Yin , Haifeng Zhang , Xu Chen , Jun Wang

Stochastic and (distributionally) robust optimization problems often become computationally challenging as the number of scenarios or data points increases. Scenario reduction is therefore a key technique for improving tractability. We…

Optimization and Control · Mathematics 2026-03-10 Kevin-Martin Aigner , Sebastian Denzler , Frauke Liers , Sebastian Pokutta , Kartikey Sharma

Recent advancements in flow-matching have enabled high-quality text-to-image generation. However, the deterministic nature of flow-matching models makes them poorly suited for reinforcement learning, a key tool for improving image quality…

Computer Vision and Pattern Recognition · Computer Science 2025-10-06 Benjamin Yu , Jackie Liu , Justin Cui

As single-center computing approaches power constraints, decentralized training becomes essential. However, traditional Reinforcement Learning (RL) methods, crucial for enhancing large model post-training, cannot adapt to decentralized…

Subject-driven image generation models face a fundamental trade-off between identity preservation (fidelity) and prompt adherence (editability). While online reinforcement learning (RL), specifically GPRO, offers a promising solution, we…

Machine Learning · Computer Science 2026-04-23 Ziwei Huang , Ying Shu , Hao Fang , Quanyu Long , Wenya Wang , Qiushi Guo , Tiezheng Ge , Leilei Gan

Visual generation is dominated by three paradigms: AutoRegressive (AR), diffusion, and Visual AutoRegressive (VAR) models. Unlike AR and diffusion, VARs operate on heterogeneous input structures across their generation steps, which creates…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Shikun Sun , Liao Qu , Huichao Zhang , Yiheng Liu , Yangyang Song , Xian Li , Xu Wang , Yi Jiang , Daniel K. Du , Xinglong Wu , Jia Jia

One key challenge for multi-task Reinforcement learning (RL) in practice is the absence of task indicators. Robust RL has been applied to deal with task ambiguity, but may result in over-conservative policies. To balance the worst-case…

Machine Learning · Computer Science 2022-10-25 Mengdi Xu , Peide Huang , Yaru Niu , Visak Kumar , Jielin Qiu , Chao Fang , Kuan-Hui Lee , Xuewei Qi , Henry Lam , Bo Li , Ding Zhao

When applying reinforcement learning--typically through GRPO--to large vision-language model reasoning struggles to effectively scale reasoning length or generates verbose outputs across all tasks with only marginal gains in accuracy. To…

Computation and Language · Computer Science 2025-10-24 Wenyi Xiao , Leilei Gan

Proximal Policy Optimization (PPO) has become the predominant algorithm for on-policy reinforcement learning due to its scalability and empirical robustness across domains. However, there is a significant disconnect between the underlying…

A significant portion of recent research on Large Language Model (LLM) alignment focuses on developing new policy optimization methods based on Group Relative Policy Optimization (GRPO). Two prominent directions have emerged: (i) a shift…

Machine Learning · Computer Science 2026-02-27 Svetlana Glazyrina , Maksim Kryzhanovskiy , Roman Ischenko

This paper examines the phenomenon of probabilistic robustness overestimation in TRADES, a prominent adversarial training method. Our study reveals that TRADES sometimes yields disproportionately high PGD validation accuracy compared to the…

Machine Learning · Computer Science 2024-10-11 Jonathan Weiping Li , Ren-Wei Liang , Cheng-Han Yeh , Cheng-Chang Tsai , Kuanchun Yu , Chun-Shien Lu , Shang-Tse Chen

Despite their sophisticated general-purpose capabilities, Large Language Models (LLMs) often fail to align with diverse individual preferences because standard post-training methods, like Reinforcement Learning with Human Feedback (RLHF),…

The Group Relative Policy Optimization (GRPO), a reinforcement learning method used to fine-tune large language models (LLMs), has proved its effectiveness in practical applications such as DeepSeek-R1. It raises a question whether GRPO can…

Machine Learning · Computer Science 2025-11-20 Yanchen Xu , Ziheng Jiao , Hongyuan Zhang , Xuelong Li

Distributionally robust optimization (DRO) problems are increasingly seen as a viable method to train machine learning models for improved model generalization. These min-max formulations, however, are more difficult to solve. We therefore…

Machine Learning · Statistics 2020-11-03 Soumyadip Ghosh , Mark Squillante , Ebisa Wollega

Large language models are commonly trained through multi-stage post-training: first via RLHF, then fine-tuned for other downstream objectives. Yet even small downstream updates can compromise earlier learned behaviors (e.g., safety),…

Machine Learning · Computer Science 2026-05-13 Mahdi Sabbaghi , George Pappas , Adel Javanmard , Hamed Hassani