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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…

Emerging Technologies · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Machine Learning · Computer Science 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…

Social and Information Networks · Computer Science 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…

Social and Information Networks · Computer Science 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…

Social and Information Networks · Computer Science 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…

Numerical Analysis · Mathematics 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…

Data Structures and Algorithms · Computer Science 2025-09-30 Sukanya Samanta , Abhi Rohit Kalathoti , Siva Jayanth Gonchi , Venkata Krishna Kashyap Adiraju , Sai Kiran Nettem

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…

Optimization and Control · Mathematics 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…

Optimization and Control · Mathematics 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…

Machine Learning · Computer Science 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,…

Optimization and Control · Mathematics 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…

Artificial Intelligence · Computer Science 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…

Optimization and Control · Mathematics 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…

Optimization and Control · Mathematics 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…

Machine Learning · Computer Science 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…

Optimization and Control · Mathematics 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…

Signal Processing · Electrical Eng. & Systems 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…

Social and Information Networks · Computer Science 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…

Optimization and Control · Mathematics 2015-08-25 Nikolaos Theodorakatos , Nikolaos Manousakis , George Korres
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