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We study integer linear programs (ILP) of the form $\min\{c^\top x\ \vert\ Ax=b,l\le x\le u,x\in\mathbb Z^n\}$ and analyze their parameterized complexity with respect to their distance to the generalized matching problem, following the…

计算复杂性 · 计算机科学 2025-10-20 Alexandra Lassota , Koen Ligthart

Polly is the LLVM project's polyhedral loop nest optimizer. Recently, user-directed loop transformation pragmas were proposed based on LLVM/Clang and Polly. The search space exposed by the transformation pragmas is a tree, wherein each node…

编程语言 · 计算机科学 2021-05-12 Jaehoon Koo , Prasanna Balaprakash , Michael Kruse , Xingfu Wu , Paul Hovland , Mary Hall

In retrosynthetic planning, the huge number of possible routes to synthesize a complex molecule using simple building blocks leads to a combinatorial explosion of possibilities. Even experienced chemists often have difficulty to select the…

人工智能 · 计算机科学 2023-06-13 Siqi Hong , Hankz Hankui Zhuo , Kebing Jin , Guang Shao , Zhanwen Zhou

Navigating rigid body objects through crowded environments can be challenging, especially when narrow passages are presented. Existing sampling-based planners and optimization-based methods like mixed integer linear programming (MILP)…

机器人学 · 计算机科学 2024-09-19 Mingxin Yu , Chuchu Fan

Standard planners for sequential decision making (including Monte Carlo planning, tree search, dynamic programming, etc.) are constrained by an implicit sequential planning assumption: The order in which a plan is constructed is the same in…

Mixed-integer linear programming (MILP) is widely employed for modeling combinatorial optimization problems. In practice, similar MILP instances with only coefficient variations are routinely solved, and machine learning (ML) algorithms are…

最优化与控制 · 数学 2023-03-07 Qingyu Han , Linxin Yang , Qian Chen , Xiang Zhou , Dong Zhang , Akang Wang , Ruoyu Sun , Xiaodong Luo

This work introduces a framework to address the computational complexity inherent in Mixed-Integer Programming (MIP) models by harnessing the potential of deep learning. By employing deep learning, we construct problem-specific heuristics…

最优化与控制 · 数学 2024-05-13 Niki Triantafyllou , Maria M. Papathanasiou

Real-world problems often require reasoning about hybrid beliefs, over both discrete and continuous random variables. Yet, such a setting has hardly been investigated in the context of planning. Moreover, existing online Partially…

人工智能 · 计算机科学 2023-05-04 Moran Barenboim , Moshe Shienman , Vadim Indelman

Discrete black-box optimization problems are challenging for model-based optimization (MBO) algorithms, such as Bayesian optimization, due to the size of the search space and the need to satisfy combinatorial constraints. In particular,…

We consider the central role of improving directions in solution methods for mixed integer bilevel linear optimization problems (MIBLPs). Current state-of-the-art methods for solving MIBLPs employ the branch-and-cut framework originally…

最优化与控制 · 数学 2026-01-01 Federico Battista , Ted K. Ralphs

Constraint Optimization Problems (COP) pose intricate challenges in combinatorial problems usually addressed through Branch and Bound (B\&B) methods, which involve maintaining priority queues and iteratively selecting branches to search for…

人工智能 · 计算机科学 2023-12-27 Yingkai Xiao , Jingjin Liu , Hankz Hankui Zhuo

This article presents MCTS-BN, an adaptation of the Monte Carlo Tree Search (MCTS) algorithm for the structural learning of Bayesian Networks (BNs). Initially designed for game tree exploration, MCTS has been repurposed to address the…

机器学习 · 计算机科学 2025-02-04 Jorge D. Laborda , Pablo Torrijos , José M. Puerta , José A. Gámez

Mixed integer sets have a strong modeling capacity to describe practical systems. Nevertheless, incorporating a mixed integer set often renders an optimization formulation drastically more challenging to compute. In this paper, we study how…

最优化与控制 · 数学 2023-12-22 Wei Wang , Bo Zeng

Taking into account future risk is essential for an autonomously operating robot to find online not only the best but also a safe action to execute. In this paper, we build upon the recently introduced formulation of probabilistic…

人工智能 · 计算机科学 2024-11-12 Andrey Zhitnikov , Vadim Indelman

Inverse optimization, determining parameters of an optimization problem that render a given solution optimal, has received increasing attention in recent years. While significant inverse optimization literature exists for convex…

最优化与控制 · 数学 2021-09-02 Merve Bodur , Timothy C. Y. Chan , Ian Yihang Zhu

Effective decision-making and problem-solving in conversational systems require the ability to identify and acquire missing information through targeted questioning. A key challenge lies in efficiently narrowing down a large space of…

人工智能 · 计算机科学 2025-06-03 Harshita Chopra , Chirag Shah

Mixed-Integer Programs (MIPs) are NP-hard optimization models that arise in a broad range of decision-making applications, including finance, logistics, energy systems, and network design. Although modern commercial solvers have achieved…

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

Large Neighborhood Search (LNS) is a combinatorial optimization heuristic that starts with an assignment of values for the variables to be optimized, and iteratively improves it by searching a large neighborhood around the current…

最优化与控制 · 数学 2022-05-23 Nicolas Sonnerat , Pengming Wang , Ira Ktena , Sergey Bartunov , Vinod Nair

Nowadays, the field of Artificial Intelligence in Computer Games (AI in Games) is going to be more alluring since computer games challenge many aspects of AI with a wide range of problems, particularly general problems. One of these kinds…