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Differentiating through constrained optimization problems is increasingly central to learning, control, and large-scale decision-making systems, yet practical integration remains challenging due to solver specialization and interface…

Metaheuristics are prominent gradient-free optimizers for solving hard problems that do not meet the rigorous mathematical assumptions of analytical solvers. The canonical manual optimizer design could be laborious, untraceable and…

Neural and Evolutionary Computing · Computer Science 2023-11-15 Qi Zhao , Bai Yan , Taiwei Hu , Xianglong Chen , Qiqi Duan , Jian Yang , Yuhui Shi

Recent advances in large language models (LLMs) have accelerated research on automated optimization modeling. While real-world decision-making is inherently uncertain, most existing work has focused on deterministic optimization with known…

Machine Learning · Computer Science 2025-11-18 WenZhuo Zhu , Zheng Cui , Wenhan Lu , Sheng Liu , Yue Zhao

We address the relative paucity of empirical testing of learning algorithms (of any type) by introducing a new public-domain, Modular, Optimal Learning Testing Environment (MOLTE) for Bayesian ranking and selection problem, stochastic…

Machine Learning · Computer Science 2017-09-15 Yingfei Wang , Warren Powell

Optimization modeling underlies critical decision-making across industries, yet remains difficult to automate: natural-language problem descriptions must be translated into precise mathematical formulations and executable solver code.…

Multi-objective optimization problems (MOPs) are ubiquitous in real-world applications, presenting a complex challenge of balancing multiple conflicting objectives. Traditional evolutionary algorithms (EAs), though effective, often rely on…

Neural and Evolutionary Computing · Computer Science 2024-07-29 Yuxiao Huang , Shenghao Wu , Wenjie Zhang , Jibin Wu , Liang Feng , Kay Chen Tan

We introduce MOS, a software application designed to facilitate the deployment, integration, management, and analysis of mathematical optimization models. MOS approaches mathematical optimization at a higher level of abstraction than…

Optimization and Control · Mathematics 2022-10-11 James Hubert Merrick , Tomás Tinoco De Rubira

This paper presents a fast and modular framework for Multi-Object Tracking (MOT) based on the Markov descision process (MDP) tracking-by-detection paradigm. It is designed to allow its various functional components to be replaced by…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Abhineet Singh

We propose SonOpt, the first (open source) data sonification application for monitoring the progress of bi-objective population-based optimization algorithms during search, to facilitate algorithm understanding. SonOpt provides insights…

Neural and Evolutionary Computing · Computer Science 2022-02-25 Tasos Asonitis , Richard Allmendinger , Matt Benatan , Ricardo Climent

We introduce MathOptInterface, an abstract data structure for representing mathematical optimization problems based on combining pre-defined functions and sets. MathOptInterface is significantly more general than existing data structures in…

Optimization and Control · Mathematics 2026-05-26 Benoit Legat , Oscar Dowson , Joaquim Dias Garcia , Miles Lubin

We introduce DiffOpt.jl, a Julia library to differentiate through the solution of optimization problems with respect to arbitrary parameters present in the objective and/or constraints. The library builds upon MathOptInterface, thus…

Machine Learning · Computer Science 2023-08-01 Mathieu Besançon , Joaquim Dias Garcia , Benoît Legat , Akshay Sharma

Large Language Models (LLMs) have revolutionized various domains but encounter substantial challenges in tackling optimization modeling tasks for Operations Research (OR), particularly when dealing with complex problem. In this work, we…

Computation and Language · Computer Science 2025-06-24 Yang Wu , Yifan Zhang , Yurong Wu , Yuran Wang , Junkai Zhang , Jian Cheng

Multiobjective optimization problems (MOPs) are prevalent in machine learning, with applications in multi-task learning, learning under fairness or robustness constraints, etc. Instead of reducing multiple objective functions into a scalar…

Mathematical Software · Computer Science 2024-10-14 Xiaoyuan Zhang , Liang Zhao , Yingying Yu , Xi Lin , Yifan Chen , Han Zhao , Qingfu Zhang

Constrained multi-objective optimization problems (CMOPs) pervade real-world applications in science, engineering, and design. Constraint violation has been a building block in designing evolutionary multi-objective optimization algorithms…

Neural and Evolutionary Computing · Computer Science 2024-01-03 Shuang Li , Ke Li , Wei Li , Ming Yang

modAL is a modular active learning framework for Python, aimed to make active learning research and practice simpler. Its distinguishing features are (i) clear and modular object oriented design (ii) full compatibility with scikit-learn…

Machine Learning · Computer Science 2018-12-13 Tivadar Danka , Peter Horvath

Despite the rapid development of large language models (LLMs), a fundamental challenge persists: the lack of high-quality optimization modeling datasets hampers LLMs' robust modeling of practical optimization problems from natural language…

Artificial Intelligence · Computer Science 2025-02-24 Hongliang Lu , Zhonglin Xie , Yaoyu Wu , Can Ren , Yuxuan Chen , Zaiwen Wen

In solving multi-modal, multi-objective optimization problems (MMOPs), the objective is not only to find a good representation of the Pareto-optimal front (PF) in the objective space but also to find all equivalent Pareto-optimal subsets…

Neural and Evolutionary Computing · Computer Science 2022-10-24 Tapabrata Ray , Mohammad Mohiuddin Mamun , Hemant Kumar Singh

Recent advances in derivative-free optimization allow efficient approximation of the global-optimal solutions of sophisticated functions, such as functions with many local optima, non-differentiable and non-continuous functions. This…

Machine Learning · Computer Science 2022-09-28 Yu-Ren Liu , Yi-Qi Hu , Hong Qian , Chao Qian , Yang Yu

Software engineers must make decisions that trade off competing goals (faster vs. cheaper, secure vs. usable, accurate vs. interpretable, etc.). Despite MSR's proven techniques for exploring such goals, researchers still struggle with these…

Software Engineering · Computer Science 2026-02-10 Tim Menzies , Tao Chen , Yulong Ye , Kishan Kumar Ganguly , Amirali Rayegan , Srinath Srinivasan , Andre Lustosa

Optimization problems seek to find the best solution to an objective under a set of constraints, and have been widely investigated in real-world applications. Modeling and solving optimization problems in a specific domain typically require…

Optimization and Control · Mathematics 2024-07-12 Jihai Zhang , Wei Wang , Siyan Guo , Li Wang , Fangquan Lin , Cheng Yang , Wotao Yin