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Recent research explores optimization using large language models (LLMs) by either iteratively seeking next-step solutions from LLMs or directly prompting LLMs for an optimizer. However, these approaches exhibit inherent limitations,…

Optimization and Control · Mathematics 2024-03-06 Zeyuan Ma , Hongshu Guo , Jiacheng Chen , Guojun Peng , Zhiguang Cao , Yining Ma , Yue-Jiao Gong

Effective data selection is essential for pretraining large language models (LLMs), enhancing efficiency and improving generalization to downstream tasks. However, existing approaches often require leveraging external pretrained models,…

Machine Learning · Computer Science 2026-02-04 Jie Hao , Rui Yu , Wei Zhang , Huixia Wang , Jie Xu , Mingrui Liu

The convergence behaviour of first-order methods can be severely slowed down when applied to high-dimensional non-convex functions due to the presence of saddle points. If, additionally, the saddles are surrounded by large plateaus, it is…

Optimization and Control · Mathematics 2023-09-12 Nick Tsipinakis , Panos Parpas

Large language models (LLMs) have been widely adopted in mathematical optimization in scientific scenarios for their extensive knowledge and advanced reasoning capabilities. Existing methods mainly focus on utilizing LLMs to solve…

Optimization and Control · Mathematics 2025-03-18 Qitan Lv , Tianyu Liu , Hong Wang

Meta-learning owns unique effectiveness and swiftness in tackling emerging tasks with limited data. Its broad applicability is revealed by viewing it as a bi-level optimization problem. The resultant algorithmic viewpoint however, faces…

Machine Learning · Computer Science 2023-12-22 Yilang Zhang , Bingcong Li , Shijian Gao , Georgios B. Giannakis

Large language models (LLMs) have become widely adopted as automated judges for evaluating AI-generated content. Despite their success, aligning LLM-based evaluations with human judgments remains challenging. While supervised fine-tuning on…

Artificial Intelligence · Computer Science 2026-02-13 Bo Pan , Xuan Kan , Kaitai Zhang , Yan Yan , Shunwen Tan , Zihao He , Zixin Ding , Junjie Wu , Liang Zhao

Uncertainty quantification in PDE inverse problems is essential in many applications. Scientific machine learning and AI enable data-driven learning of model components while preserving physical structure, and provide the scalability and…

Machine Learning · Computer Science 2026-01-12 Ray Zirui Zhang , Christopher E. Miles , Xiaohui Xie , John S. Lowengrub

The modeling of bio-molecular system across molecular scales remains a central challenge in scientific research. Large language models (LLMs) are increasingly applied to bio-molecular discovery, yet systematic evaluation across multi-scale…

Machine Learning · Computer Science 2026-04-07 Yaxin Xu , Yue Zhou , Tianyu Zhao , Fengwei An , Zhixiang Ren

Despite the significant improvements achieved by large language models (LLMs) in English reasoning tasks, these models continue to struggle with multilingual reasoning. Recent studies leverage a full-parameter and two-stage training…

Computation and Language · Computer Science 2025-01-08 Yuchun Fan , Yongyu Mu , Yilin Wang , Lei Huang , Junhao Ruan , Bei Li , Tong Xiao , Shujian Huang , Xiaocheng Feng , Jingbo Zhu

The high cost and data scarcity in scientific exploration have motivated the use of large language models (LLMs) as knowledge-driven components in Bayesian optimization (BO). However, existing approaches typically embed LLMs directly into…

While stochastic bilevel optimization methods have been extensively studied for addressing large-scale nested optimization problems in machine learning, it remains an open question whether the optimal complexity bounds for solving bilevel…

Optimization and Control · Mathematics 2026-03-24 Tianshu Chu , Dachuan Xu , Wei Yao , Jin Zhang

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,…

The undesired memorization of sensitive information by Large Language Models (LLMs) has emphasized the need for safety mechanisms that can regulate model behavior. This has led to the development of machine unlearning techniques that enable…

Machine Learning · Computer Science 2025-10-10 Anu Agarwal , Mihir Pamnani , Dilek Hakkani-Tur

In an effort to overcome the data deluge in computational biology and bioinformatics and to facilitate bioinformatics research in the era of big data, we identify some of the most influential algorithms that have been widely used in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-03 Faraz Faghri , Sayed Hadi Hashemi , Mohammad Babaeizadeh , Mike A. Nalls , Saurabh Sinha , Roy H. Campbell

Improving the mathematical reasoning capabilities of Large Language Models (LLMs) is critical for advancing artificial intelligence. However, access to extensive, diverse, and high-quality reasoning datasets remains a significant challenge,…

Computation and Language · Computer Science 2025-05-28 Yuyang Ding , Xinyu Shi , Xiaobo Liang , Juntao Li , Zhaopeng Tu , Qiaoming Zhu , Min Zhang

Large Language Models (LLMs) are known for their expensive and time-consuming training. Thus, oftentimes, LLMs are fine-tuned to address a specific task, given the pretrained weights of a pre-trained LLM considered a foundation model. In…

Computation and Language · Computer Science 2025-12-05 Eshed Gal , Moshe Eliasof , Javier Turek , Uri Ascher , Eran Treister , Eldad Haber

Recently, bi-level optimization (BLO) has taken center stage in some very exciting developments in the area of signal processing (SP) and machine learning (ML). Roughly speaking, BLO is a classical optimization problem that involves two…

Machine Learning · Computer Science 2023-12-22 Yihua Zhang , Prashant Khanduri , Ioannis Tsaknakis , Yuguang Yao , Mingyi Hong , Sijia Liu

Despite their widespread use, large language models (LLMs) are known to hallucinate incorrect information and be poorly calibrated. This makes the uncertainty quantification of these models of critical importance, especially in high-stakes…

Machine Learning · Computer Science 2025-06-27 Colin Samplawski , Adam D. Cobb , Manoj Acharya , Ramneet Kaur , Susmit Jha

Large language models (LLMs) have achieved remarkable advancements in natural language processing, showcasing exceptional performance across various tasks. However, the expensive memory and computational requirements present significant…

Artificial Intelligence · Computer Science 2025-11-13 Ruihao Gong , Yifu Ding , Zining Wang , Chengtao Lv , Xingyu Zheng , Jinyang Du , Haotong Qin , Jinyang Guo , Michele Magno , Xianglong Liu

Large language models (LLMs) have significantly advanced the field of natural language processing, while the expensive memory and computation consumption impede their practical deployment. Quantization emerges as one of the most effective…

Machine Learning · Computer Science 2024-02-20 Hong Chen , Chengtao Lv , Liang Ding , Haotong Qin , Xiabin Zhou , Yifu Ding , Xuebo Liu , Min Zhang , Jinyang Guo , Xianglong Liu , Dacheng Tao
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