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Combinatorial optimization problems are crucial in industry. However, many COPs are NP-hard, causing the search space to grow exponentially with problem size and rendering large-scale instances computationally intractable. Conventional…

新兴技术 · 计算机科学 2026-02-27 Eiji Kawase , Shuta Kikuchi , Hideaki Tamai , Shu Tanaka

We prove that the maximum independent set approximation problem with polylogarithmic approximation factor is P-SLOCAL-complete. Thus an efficient algorithm for the maximum independent set approximation in the LOCAL model implies efficient…

数据结构与算法 · 计算机科学 2019-12-24 Yannic Maus

We study the discriminative probabilistic modeling on a continuous domain for the data prediction task of (multimodal) self-supervised representation learning. To address the challenge of computing the integral in the partition function for…

机器学习 · 计算机科学 2025-03-06 Bokun Wang , Yunwen Lei , Yiming Ying , Tianbao Yang

We consider the problem of Influence Maximization (IM), the task of selecting $k$ seed nodes in a social network such that the expected number of nodes influenced is maximized. We propose a community-aware divide-and-conquer framework that…

社会与信息网络 · 计算机科学 2023-02-21 Abhishek K. Umrawal , Christopher J. Quinn , Vaneet Aggarwal

Aiming at selecting a small subset of nodes with maximum influence on networks, the Influence Maximization (IM) problem has been extensively studied. Since it is #P-hard to compute the influence spread given a seed set, the state-of-the-art…

社会与信息网络 · 计算机科学 2023-05-17 Tiantian Chen , Siwen Yan , Jianxiong Guo , Weili Wu

Influence maximization is a well-studied problem that asks for a small set of influential users from a social network, such that by targeting them as early adopters, the expected total adoption through influence cascades over the network is…

社会与信息网络 · 计算机科学 2015-11-06 Wei Lu , Wei Chen , Laks V. S. Lakshmanan

In this paper, we address a way to reduce the total computational cost of meshless approximation by reducing the required stencil size through spatially varying computational node regularity. Rather than covering the entire domain with…

数值分析 · 数学 2025-02-19 Miha Rot , Mitja Jančič , Gregor Kosec

The Maximal Covering Location Problem (MCLP) represents a fundamental optimization challenge in facility location theory, where the objective is to maximize demand coverage while operating under resource constraints. This paper presents a…

In this work, we develop an adaptive, multivariate partitioning algorithm for solving mixed-integer nonlinear programs (MINLP) with multi-linear terms to global optimality. This iterative algorithm primarily exploits the advantages of…

最优化与控制 · 数学 2019-02-05 Harsha Nagarajan , Mowen Lu , Site Wang , Russell Bent , Kaarthik Sundar

Sequential quadratic programming and sequential convex programming efficiently solve nonlinear programs (NLPs) by linearizing inner nonlinearities while preserving the outer convex structure. This paper introduces a sequential mixed-integer…

最优化与控制 · 数学 2026-03-27 Andrea Ghezzi , Wim Van Roy , Sebastian Sager , Moritz Diehl

Mixed Integer Linear Programming (MILP) is a fundamental class of NP-hard problems that has garnered significant attention from both academia and industry. The Branch-and-Bound (B\&B) method is the dominant approach for solving MILPs and…

机器学习 · 计算机科学 2025-11-27 Tongkai Lu , Shuai Ma , Chongyang Tao

We investigate the sequential competitive facility location problem (SCFLP) under partially binary rule where two companies sequentially open a limited number of facilities to maximize their market shares, requiring customers to patronize,…

最优化与控制 · 数学 2025-08-13 Yu-Qi Guo , Yan-Ru Wang , Wei-Kun Chen , Yu-Hong Dai

Mixed Integer Programming (MIP) is one of the most widely used modeling techniques for combinatorial optimization problems. In many applications, a similar MIP model is solved on a regular basis, maintaining remarkable similarities in model…

人工智能 · 计算机科学 2019-09-10 Jian-Ya Ding , Chao Zhang , Lei Shen , Shengyin Li , Bing Wang , Yinghui Xu , Le Song

The combinatorial integral approximation (CIA) is a solution technique for integer optimal control problems. In order to regularize the solutions produced by CIA, one can minimize switching costs in one of its algorithmic steps. This leads…

最优化与控制 · 数学 2023-05-23 Felix Bestehorn , Christoph Hansknecht , Christian Kirches , Paul Manns

Several algorithms are available in the literature for finding the entire set of Pareto-optimal solutions in MultiObjective Linear Programming (MOLP). However, it has not been proposed so far an interior point algorithm that finds all…

最优化与控制 · 数学 2011-12-30 Víctor Blanco , Justo Puerto , Safae El-Haj Ben-Ali

In scenarios with limited available data, training the function-to-function neural PDE solver in an unsupervised manner is essential. However, the efficiency and accuracy of existing methods are constrained by the properties of numerical…

机器学习 · 计算机科学 2025-03-12 Rui Zhang , Qi Meng , Rongchan Zhu , Yue Wang , Wenlei Shi , Shihua Zhang , Zhi-Ming Ma , Tie-Yan Liu

Second order conic programming (SOCP) has been used to model various applications in power systems, such as operation and expansion planning. In this paper, we present a two-stage stochastic mixed integer SOCP (MISOCP) model for the…

最优化与控制 · 数学 2017-04-04 Hossein Haghighat , Bo Zeng

This paper investigates the robust design of symbol-level precoding (SLP) for multiuser multiple-input multiple-output (MIMO) downlink transmission with imperfect channel state information (CSI) caused by channel aging. By utilizing the a…

信号处理 · 电气工程与系统科学 2024-02-08 Yafei Wang , Xinping Yi , Hongwei Hou , Wenjin Wang , Shi Jin

We consider the problem of maximizing the spread of influence in a social network by choosing a fixed number of initial seeds, formally referred to as the influence maximization problem. It admits a $(1-1/e)$-factor approximation algorithm…

社会与信息网络 · 计算机科学 2022-06-15 Grant Schoenebeck , Biaoshuai Tao

Phasor Measurement Units (PMUs) are essential measuring devices for monitoring, control and protection of power systems. The objective of the optimal PMU placement (OPP) problem is to minimize the number of PMUs and select the bus locations…

最优化与控制 · 数学 2015-08-25 Nikolaos Theodorakatos , Nikolaos Manousakis , George Korres
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