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Mixed integer linear programming (MILP) solvers expose hundreds of parameters that have an outsized impact on performance but are difficult to configure for all but expert users. Existing machine learning (ML) approaches require training on…

Machine Learning · Computer Science 2025-09-25 Connor Lawless , Yingxi Li , Anders Wikum , Madeleine Udell , Ellen Vitercik

This paper surveys the trend of leveraging machine learning to solve mixed integer programming (MIP) problems. Theoretically, MIP is an NP-hard problem, and most of the combinatorial optimization (CO) problems can be formulated as the MIP.…

Artificial Intelligence · Computer Science 2022-03-08 Jiayi Zhang , Chang Liu , Junchi Yan , Xijun Li , Hui-Ling Zhen , Mingxuan Yuan

Integer Linear Programming (ILP) serves as a versatile framework for modeling a wide range of combinatorial optimization problems, typically addressed by sophisticated exact solvers or heuristics. While learning-based approaches have…

Machine Learning · Computer Science 2026-05-29 Kyuil Sim , Sanghyeok Choi , Jinkyoo Park

Large Language Models (LLMs) have made significant progress in reasoning, demonstrating their capability to generate human-like responses. This study analyzes the problem-solving capabilities of LLMs in the domain of thermodynamics. A…

Computational Engineering, Finance, and Science · Computer Science 2025-12-18 Rebecca Loubet , Pascal Zittlau , Luisa Vollmer , Marco Hoffmann , Sophie Fellenz , Fabian Jirasek , Heike Leitte , Hans Hasse

Mixed Integer Linear Programs (MILP) are well known to be NP-hard (Non-deterministic Polynomial-time hard) problems in general. Even though pure optimization-based methods, such as constraint generation, are guaranteed to provide an optimal…

Optimization and Control · Mathematics 2022-07-18 Asunción Jiménez-Cordero , Juan Miguel Morales , Salvador Pineda

Numerous real-world decision-making problems can be formulated and solved using Mixed-Integer Linear Programming (MILP) models. However, the transformation of these problems into MILP models heavily relies on expertise in operations…

Optimization and Control · Mathematics 2023-11-28 Qingyang Li , Lele Zhang , Vicky Mak-Hau

The use of Large Language Models (LLMs) in software engineering tasks is growing, especially in the areas of bug fixing and code generation. Nevertheless, these models often yield unstable results; when executed at different times with the…

Software Engineering · Computer Science 2025-09-09 Mehmet Bilal Er , Nagehan İlhan , Umut Kuran

Large Language Models (LLMs) exhibit potential artificial generic intelligence recently, however, their usage is costly with high response latency. Given mixed LLMs with their own strengths and weaknesses, LLM routing aims to identify the…

Computation and Language · Computer Science 2025-02-27 Xinyuan Wang , Yanchi Liu , Wei Cheng , Xujiang Zhao , Zhengzhang Chen , Wenchao Yu , Yanjie Fu , Haifeng Chen

Large Language Models (LLMs) have emerged as powerful tools in artificial intelligence, especially in complex decision-making scenarios, but their static problem-solving strategies often limit their adaptability to dynamic environments. We…

Computation and Language · Computer Science 2025-02-18 Chengkun Cai , Xu Zhao , Yucheng Du , Haoliang Liu , Lei Li

Temperature is a crucial hyperparameter in large language models (LLMs), controlling the trade-off between exploration and exploitation during text generation. High temperatures encourage diverse but noisy outputs, while low temperatures…

Machine Learning · Computer Science 2026-02-13 Haoran Dang , Cuiling Lan , Hai Wan , Xibin Zhao , Yan Lu

Mixed-Integer Linear Programming (MILP) is a foundational tool for complex decision-making problems. However, the NP-hard nature of MILP presents a significant computational challenge, motivating the development of machine learning-based…

Optimization and Control · Mathematics 2026-03-03 Hongpei Li , Hui Yuan , Han Zhang , Jianghao Lin , Dongdong Ge , Mengdi Wang , Yinyu Ye

Large Language Models (LLMs) are deep learning models designed to generate text based on textual input. Although researchers have been developing these models for more complex tasks such as code generation and general reasoning, few efforts…

Computation and Language · Computer Science 2024-05-06 Mahmoud Masoud , Ahmed Abdelhay , Mohammed Elhenawy

Large language models (LLMs) have rapidly become familiar tools to researchers and practitioners. Concepts such as prompting, temperature, or few-shot examples are now widely recognized, and LLMs are increasingly used in Modeling &…

Artificial Intelligence · Computer Science 2026-02-06 Philippe J. Giabbanelli

The growing need to integrate information from a large number of diverse sources poses significant scalability challenges for data integration systems. These systems often rely on manually written schema mappings, which are complex,…

Databases · Computer Science 2025-06-02 Christopher Buss , Mahdis Safari , Arash Termehchy , Stefan Lee , David Maier

Mixed Integer Linear Programs (MILPs) are highly flexible and powerful tools for modeling and solving complex real-world combinatorial optimization problems. Recently, machine learning (ML)-guided approaches have demonstrated significant…

Artificial Intelligence · Computer Science 2025-06-13 Junyang Cai , Taoan Huang , Bistra Dilkina

Mixed Integer Linear Programming (MILP) is essential for modeling complex decision-making problems but faces challenges in computational tractability and requires expert formulation. Current deep learning approaches for MILP focus on…

Machine Learning · Computer Science 2025-02-24 Sirui Li , Janardhan Kulkarni , Ishai Menache , Cathy Wu , Beibin Li

By exploiting the correlation between the structure and the solution of Mixed-Integer Linear Programming (MILP), Machine Learning (ML) has become a promising method for solving large-scale MILP problems. Existing ML-based MILP solvers…

Machine Learning · Computer Science 2025-01-03 Yixuan Li , Can Chen , Jiajun Li , Jiahui Duan , Xiongwei Han , Tao Zhong , Vincent Chau , Weiwei Wu , Wanyuan Wang

Multi-sample aggregation strategies, such as majority voting and best-of-N sampling, are widely used in contemporary large language models (LLMs) to enhance predictive accuracy across various tasks. A key challenge in this process is…

Machine Learning · Computer Science 2025-06-17 Weihua Du , Yiming Yang , Sean Welleck

Large Language Models (LLMs) have been applied to Math Word Problems (MWPs) with transformative impacts, revolutionizing how these complex problems are approached and solved in various domains including educational settings. However, the…

Computation and Language · Computer Science 2024-06-18 Joykirat Singh , Akshay Nambi , Vibhav Vineet

The integration of Large Language Models into recommendation frameworks presents key advantages for personalization and adaptability of experiences to the users. Classic methods of recommendations, such as collaborative filtering and…

Information Retrieval · Computer Science 2025-01-20 Peiyang Yu , Zeqiu Xu , Jiani Wang , Xiaochuan Xu
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