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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

We present a framework for optimizing prompts in vision-language models to elicit multimodal reasoning without model retraining. Using an evolutionary algorithm to guide prompt updates downstream of visual tasks, our approach improves upon…

Computation and Language · Computer Science 2025-04-01 Sid Bharthulwar , John Rho , Katrina Brown

Model reduction, which aims to learn a simpler model of the original mixed integer linear programming (MILP), can solve large-scale MILP problems much faster. Most existing model reduction methods are based on variable reduction, which…

Machine Learning · Computer Science 2026-02-04 Jiajun Li , Yixuan Li , Ran Hou , Yu Ding , Shisi Guan , Jiahui Duan , Xiongwei Han , Tao Zhong , Vincent Chau , Weiwei Wu , Wanyuan Wang

Given the recent impressive accomplishments of language models (LMs) for code generation, we explore the use of LMs as adaptive mutation and crossover operators for an evolutionary neural architecture search (NAS) algorithm. While NAS still…

Neural and Evolutionary Computing · Computer Science 2023-11-17 Angelica Chen , David M. Dohan , David R. So

Cutting planes (cuts) play an important role in solving mixed-integer linear programs (MILPs), as they significantly tighten the dual bounds and improve the solving performance. A key problem for cuts is when to stop cuts generation, which…

Artificial Intelligence · Computer Science 2024-02-05 Haotian Ling , Zhihai Wang , Jie Wang

We survey recent work on machine learning (ML) techniques for selecting cutting planes (or cuts) in mixed-integer linear programming (MILP). Despite the availability of various classes of cuts, the task of choosing a set of cuts to add to…

Optimization and Control · Mathematics 2023-11-01 Arnaud Deza , Elias B. Khalil

Cutting planes are crucial in solving mixed integer linear programs (MILP) as they facilitate bound improvements on the optimal solution. Modern MILP solvers rely on a variety of separators to generate a diverse set of cutting planes by…

Optimization and Control · Mathematics 2023-11-13 Sirui Li , Wenbin Ouyang , Max B. Paulus , Cathy Wu

Adapting large language models (LLMs) to a targeted task efficiently and effectively remains a fundamental challenge. Such adaptation often requires iteratively improving the model toward a targeted task, yet collecting high-quality…

Computation and Language · Computer Science 2026-04-30 Ting-Wei Li , Sirui Chen , Jiaru Zou , Yingbing Huang , Tianxin Wei , Jingrui He , Hanghang Tong

Pre-trained vision-language models like CLIP have remarkably adapted to various downstream tasks. Nonetheless, their performance heavily depends on the specificity of the input text prompts, which requires skillful prompt template…

Machine Learning · Computer Science 2024-10-22 Yingjun Du , Wenfang Sun , Cees G. M. Snoek

Large language models (LLMs) have made impressive progress in natural language processing. These models rely on proper human instructions (or prompts) to generate suitable responses. However, the potential of LLMs are not fully harnessed by…

Computation and Language · Computer Science 2023-10-24 Xinyu Hu , Pengfei Tang , Simiao Zuo , Zihan Wang , Bowen Song , Qiang Lou , Jian Jiao , Denis Charles

Large Language Models have seen increasing use in various software development tasks, especially in code generation. The most advanced recent methods attempt to incorporate feedback from code execution into prompts to help guide LLMs in…

Software Engineering · Computer Science 2025-07-31 Hamed Taherkhani , Melika Sepindband , Hung Viet Pham , Song Wang , Hadi Hemmati

Large Vision-Language Models (LVLMs) incur high computational costs due to significant redundancy in their visual tokens. To effectively reduce this cost, researchers have proposed various visual token pruning methods. However, existing…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Wen Luo , Peng Chen , Xiaotao Huang , LiQun Huang

Inspired by natural evolutionary processes, Evolutionary Computation (EC) has established itself as a cornerstone of Artificial Intelligence. Recently, with the surge in data-intensive applications and large-scale complex systems, the…

Neural and Evolutionary Computing · Computer Science 2024-04-16 Beichen Huang , Ran Cheng , Zhuozhao Li , Yaochu Jin , Kay Chen Tan

The open-source nonlinear solver Ipopt (https://projects.coin-or.org/Ipopt) is a widely-used software package for the solution of large-scale non-linear optimization problems. At its heart, it employs a third-party linear solver to solve a…

Optimization and Control · Mathematics 2013-01-31 J. D. Hogg , J. A. Scott

This paper presents a hybrid CPU-GPU framework for solving combinatorial scheduling problems formulated as Integer Linear Programming (ILP). While scheduling underpins many optimization tasks in computing systems, solving these problems…

Machine Learning · Computer Science 2026-04-01 Mingju Liu , Jiaqi Yin , Alvaro Velasquez , Cunxi Yu

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

We present EvoSort, a general-purpose adaptive parallel parallel sorting framework accessible at the Python level. EvoSort employs a Genetic Algorithm (GA) to automatically discover and refine critical parameters, including insertion sort…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-05 Shashank Raj , Kalyanmoy Deb

In this paper, we show how a resource allocation problem can be solved through Integer Linear Programming (ILP). A detailed illustrative example is presented, together with an exhaustive overview of the mathematical model. The size of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-29 Filip De Turck

Linear programming (LP) is an extremely useful tool and has been successfully applied to solve various problems in a wide range of areas, including operations research, engineering, economics, or even more abstract mathematical areas such…

Data Structures and Algorithms · Computer Science 2020-03-19 Agniva Chowdhury , Palma London , Haim Avron , Petros Drineas

The adaptation of large-scale vision-language models (VLMs) to downstream tasks with limited labeled data remains a significant challenge. While parameter-efficient prompt learning methods offer a promising path, they often suffer from…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Enming Zhang , Jiayang Li , Yanru Wu , Zhenyu Liu , Yang Li