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In this paper, we develop a fast mixed-integer convex programming (MICP) framework for multi-robot navigation by combining graph attention networks and distributed optimization. We formulate a mixed-integer optimization problem for receding…

系统与控制 · 电气工程与系统科学 2025-03-28 Viet-Anh Le , Panagiotis Kounatidis , Andreas A. Malikopoulos

Vision-Language Models (VLMs) such as CLIP learn a shared embedding space for images and text, yet their representations remain geometrically separated, a phenomenon known as the modality gap. This gap limits tasks requiring cross-modal…

计算机视觉与模式识别 · 计算机科学 2026-04-02 Hongyuan Liu , Qinli Yang , Wen Li , Zhong Zhang , Jiaming Liu , Wei Han , Zhili Qin , Jinxia Guo , Junming Shao

To address the challenges of imbalanced multi-class datasets typically used for rare event detection in critical cyber-physical systems, we propose an optimal, efficient, and adaptable mixed integer programming (MIP) ensemble weighting…

机器学习 · 计算机科学 2025-04-16 Georgios Tertytchny , Georgios L. Stavrinides , Maria K. Michael

Several recent publications report advances in training optimal decision trees (ODT) using mixed-integer programs (MIP), due to algorithmic advances in integer programming and a growing interest in addressing the inherent suboptimality of…

机器学习 · 计算机科学 2020-11-09 Haoran Zhu , Pavankumar Murali , Dzung T. Phan , Lam M. Nguyen , Jayant R. Kalagnanam

This paper investigates the column generation (CG) for solving cutting stock problems (CSP). Traditional CG method, which repeatedly solves a restricted master problem (RMP), often suffers from two critical issues in practice -- the loss of…

最优化与控制 · 数学 2023-05-24 Mingjie Hu , Jie Yan , Liting Chen , Qingwei Lin

Manually designing cloze test consumes enormous time and efforts. The major challenge lies in wrong option (distractor) selection. Having carefully-design distractors improves the effectiveness of learner ability assessment. As a result,…

计算与语言 · 计算机科学 2024-03-18 Shang-Hsuan Chiang , Ssu-Cheng Wang , Yao-Chung Fan

Mixed Integer Programming (MIP) has been extensively applied in areas requiring mathematical solvers to address complex instances within tight time constraints. However, as the problem scale increases, the complexity of model formulation…

计算与语言 · 计算机科学 2024-09-19 Teng Wang , Wing-Yin Yu , Ruifeng She , Wenhan Yang , Taijie Chen , Jianping Zhang

Learning the dependence structure among variables in complex systems is a central problem across medical, natural, and social sciences. These structures can be naturally represented by graphs, and the task of inferring such graphs from data…

统计方法学 · 统计学 2026-04-02 Lucas Kook , Søren Wengel Mogensen

Indefinite quadratic programs (QPs) are known to be very difficult to be solved to global optimality, so are linear programs with linear complementarity constraints. Treating the former as a subclass of the latter, this paper presents a…

最优化与控制 · 数学 2025-03-18 Xinyao Zhang , Shaoning Han , Jong-Shi Pang

We present a randomized differential testing approach to test OpenMP implementations. In contrast to previous work that manually creates dozens of verification and validation tests, our approach is able to randomly generate thousands of…

The convex feasibility problem asks to find a point in the intersection of a collection of nonempty closed convex sets. This problem is of basic importance in mathematics and the physical sciences, and projection (or splitting) methods…

最优化与控制 · 数学 2013-12-03 Heinz H. Bauschke , Francesco Iorio , Valentin R. Koch

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 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

In Mixed Integer Linear Programming (MIP), a (strong) backdoor is a "small" subset of an instance's integer variables with the following property: in a branch-and-bound procedure, the instance can be solved to global optimality by branching…

人工智能 · 计算机科学 2022-07-11 Elias B. Khalil , Pashootan Vaezipoor , Bistra Dilkina

With the rapid development of Large Language Models (LLMs), Controllable Text Generation (CTG) has become a critical technology for enhancing system reliability and user experience. Addressing the limitations of traditional methods, this…

计算与语言 · 计算机科学 2025-09-23 Yan Zhuang , Yuan Sun

A key ingredient in branch and bound (B&B) solvers for mixed-integer programming (MIP) is the selection of branching variables since poor or arbitrary selection can affect the size of the resulting search trees by orders of magnitude. A…

最优化与控制 · 数学 2020-08-31 Daniel Anderson , Pierre Le Bodic , Kerri Morgan

Given a hypergraph $H$, the Minimum Connectivity Inference problem asks for a graph on the same vertex set as $H$ with the minimum number of edges such that the subgraph induced by every hyperedge of $H$ is connected. This problem has…

数据结构与算法 · 计算机科学 2019-08-27 Édouard Bonnet , Diana-Elena Fălămaş , Rémi Watrigant

We consider {\em Mixed Linear Regression (MLR)}, where training data have been generated from a mixture of distinct linear models (or clusters) and we seek to identify the corresponding coefficient vectors. We introduce a {\em Mixed Integer…

机器学习 · 统计学 2019-09-10 Taiyao Wang , Ioannis Ch. Paschalidis

Mixed-integer convex programming (MICP) has seen significant algorithmic and hardware improvements with several orders of magnitude solve time speedups compared to 25 years ago. Despite these advances, MICP has been rarely applied to…

机器人学 · 计算机科学 2022-04-12 A. Cauligi , P. Culbertson , B. Stellato , D. Bertsimas , M. Schwager , M. Pavone

Automatically generating compilable programs with (or without) natural language descriptions has always been a touchstone problem for computational linguistics and automated software engineering. Existing deep-learning approaches model code…

计算与语言 · 计算机科学 2022-03-11 Xin Wang , Yasheng Wang , Yao Wan , Fei Mi , Yitong Li , Pingyi Zhou , Jin Liu , Hao Wu , Xin Jiang , Qun Liu