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Cutting planes (cuts) are crucial for solving Mixed Integer Linear Programming (MILP) problems. Advanced MILP solvers typically rely on manually designed heuristic algorithms for cut selection, which require much expert experience and…

最优化与控制 · 数学 2024-12-11 Xuefeng Zhang , Liangyu Chen , Zhengfeng Yang , Zhenbing Zeng

Robot footstep planning strategies can be divided in two main approaches: discrete searches and continuous optimizations. While discrete searches have been broadly applied, continuous optimizations approaches have been restricted for…

机器人学 · 计算机科学 2017-01-06 Bernardo Aceituno-Cabezas , Jose Cappelletto , Juan C. Grieco , Gerardo Fernandez-Lopez

For clustering of an undirected graph, this paper presents an exact algorithm for the maximization of modularity density, a more complicated criterion to overcome drawbacks of the well-known modularity. The problem can be interpreted as the…

社会与信息网络 · 计算机科学 2017-06-28 Keisuke Sato , Yoichi Izunaga

In this letter, we consider the Multi-Robot Efficient Search Path Planning (MESPP) problem, where a team of robots is deployed in a graph-represented environment to capture a moving target within a given deadline. We prove this problem to…

机器人学 · 计算机科学 2021-01-14 Beatriz A. Asfora , Jacopo Banfi , Mark Campbell

Inverted Generational Distance (IGD) has been widely considered as a reliable performance indicator to concurrently quantify the convergence and diversity of multi- and many-objective evolutionary algorithms. In this paper, an IGD…

神经与进化计算 · 计算机科学 2018-02-27 Yanan Sun , Gary G. Yen , Zhang Yi

We present a new mixed-integer programming (MIP) approach for offline multiple change-point detection by casting the problem as a globally optimal piecewise linear (PWL) fitting problem. Our main contribution is a family of strengthened MIP…

最优化与控制 · 数学 2026-02-13 Apoorva Narula , Santanu S. Dey , Yao Xie

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…

最优化与控制 · 数学 2023-11-28 Qingyang Li , Lele Zhang , Vicky Mak-Hau

Enhancing existing transmission lines is a useful tool to combat transmission congestion and guarantee transmission security with increasing demand and boosting the renewable energy source. This study concerns the selection of lines whose…

最优化与控制 · 数学 2022-07-20 Jian Liu , Rui Bo , Siyuan Wang

The goal of survey design is often to minimize the errors associated with inference: the total of bias and variance. Random surveys are common because they allow the use of theoretically unbiased estimators. In practice however, such…

统计方法学 · 统计学 2023-02-14 Connie Okasaki , Sándor F. Tóth , Andrew M. Berdahl

Artificial Neural Networks (ANNs) are prevalent machine learning models that are applied across various real-world classification tasks. However, training ANNs is time-consuming and the resulting models take a lot of memory to deploy. In…

机器学习 · 计算机科学 2022-06-27 Vrishabh Patil , Yonatan Mintz

Designing faster algorithms for solving Mixed-Integer Linear Programming (MILP) problems is highly desired across numerous practical domains, as a vast array of complex real-world challenges can be effectively modeled as MILP formulations.…

人工智能 · 计算机科学 2026-01-23 Ruizhi Liu , Liming Xu , Xulin Huang , Jingyan Sui , Shizhe Ding , Boyang Xia , Chungong Yu , Dongbo Bu

This paper discusses the computational resolution and presents numerical results for solving affine combinations of Heaviside composite optimization problems (abbreviated as A-HSCOPs) by a progressive integer programming (abbreviated as…

最优化与控制 · 数学 2026-05-08 Ke Zheng , Junyi Liu , Yurui Wang , Jong-Shi Pang

The thermal unit commitment (UC) problem often can be formulated as a mixed integer quadratic programming (MIQP), which is difficult to solve efficiently, especially for large-scale instances. In this paper, with projecting unit generation…

最优化与控制 · 数学 2017-02-08 Linfeng Yang , Chen Zhang , Jinbao Jian , Ke Meng , Zhaoyang Dong

Generalized Disjunctive Programming (GDP) provides a powerful framework for combining algebraic constraints with logical disjunctions. To solve these problems, mixed-integer reformulations are required, but traditional reformulation…

最优化与控制 · 数学 2026-01-21 Albert Joon Lee , David E. Bernal Neira

In the past few years, there has been an explosive surge in the use of machine learning (ML) techniques to address combinatorial optimization (CO) problems, especially mixed-integer linear programs (MILPs). Despite the achievements, the…

机器学习 · 计算机科学 2024-03-12 Zijie Geng , Xijun Li , Jie Wang , Xiao Li , Yongdong Zhang , Feng Wu

We solve large-scale mixed-integer linear programs (MILPs) via distributed asynchronous saddle point computation. This is motivated by the MILPs being able to model problems in multi-agent autonomy, e.g., task assignment problems and…

最优化与控制 · 数学 2022-11-23 Luke Fina , Matthew Hale

We investigate time-optimal Multi-Robot Coverage Path Planning (MCPP) for both unweighted and weighted terrains, which aims to minimize the coverage time, defined as the maximum travel time of all robots. Specifically, we focus on a…

机器人学 · 计算机科学 2023-08-14 Jingtao Tang , Hang Ma

Training a single model for multilingual, multi-task speech processing (MSP) is severely hampered by conflicting objectives between tasks like speech recognition and translation. While multi-objective optimization (MOO) aims to align…

音频与语音处理 · 电气工程与系统科学 2025-08-14 A F M Saif , Lisha Chen , Xiaodong Cui , Songtao Lu , Brian Kingsbury , Tianyi Chen

Mixed-integer linear programming (MILP) is one of the most popular mathematical formulations with numerous applications. In practice, improving the performance of MILP solvers often requires a large amount of high-quality data, which can be…

机器学习 · 计算机科学 2024-11-01 Haoyang Liu , Jie Wang , Wanbo Zhang , Zijie Geng , Yufei Kuang , Xijun Li , Bin Li , Yongdong Zhang , Feng Wu

The dramatic increase in consumption of ultra-processed food has been associated with numerous adverse health effects. Given the public health consequences linked to ultra-processed food consumption, it is highly relevant to build…

生物大分子 · 定量生物学 2025-06-24 Nalin Arora , Sumit Bhagat , Riya Dhama , Ganesh Bagler