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Neural networks, particularly message-passing neural networks (MPNNs), are increasingly used as heuristics for hard combinatorial optimization problems. Yet many learning-based methods rely on supervision, reinforcement learning, or…

机器学习 · 计算机科学 2026-05-14 Chendi Qian , Christopher Morris , Stefanie Jegelka , Christian Sohler

In the NP-hard \textsc{Group Closeness Centrality Maximization} problem, the input is a graph $G = (V,E)$ and a positive integer $k$, and the task is to find a set $S \subseteq V$ of size $k$ that maximizes the reciprocal of group farness…

数据结构与算法 · 计算机科学 2026-03-27 Christian Schulz , Jakob Ternes , Henning Woydt

In the Submodular Facility Location problem (SFL) we are given a collection of $n$ clients and $m$ facilities in a metric space. A feasible solution consists of an assignment of each client to some facility. For each client, one has to pay…

We study a robust version of the maximum capture facility location problem in a competitive market, assuming that each customer chooses among all available facilities according to a random utility maximization (RUM) model. We employ the…

最优化与控制 · 数学 2024-01-17 Anh Thuy Ta , Tien Thanh Dam , Tien Mai

This paper addresses the problem of planning under uncertainty in large Markov Decision Processes (MDPs). Factored MDPs represent a complex state space using state variables and the transition model using a dynamic Bayesian network. This…

人工智能 · 计算机科学 2011-06-10 C. Guestrin , D. Koller , R. Parr , S. Venkataraman

In traditional facility location problems, a set of points is provided, and the objective is to determine the best location for a new facility based on criteria such as minimizing cost, time, and distances between clients and facilities.…

最优化与控制 · 数学 2025-03-11 Nazanin Tour-Savadkoohi , Jafar Fathali

This paper presents fast, distributed, $O(1)$-approximation algorithms for metric facility location problems with outliers in the Congested Clique model, Massively Parallel Computation (MPC) model, and in the $k$-machine model. The paper…

分布式、并行与集群计算 · 计算机科学 2018-11-16 Tanmay Inamdar , Shreyas Pai , Sriram V. Pemmaraju

The capacitated p-center problem requires to select p facilities from a set of candidates to service a number of customers, subject to facility capacity constraints, with the aim of minimizing the maximum distance between a customer and its…

数据结构与算法 · 计算机科学 2018-03-14 Raphael Kramer , Manuel Iori , Thibaut Vidal

We study an assortment optimization problem under a multi-purchase choice model in which customers choose a bundle of up to one product from each of two product categories. Different bundles have different utilities and the bundle price is…

数据结构与算法 · 计算机科学 2022-10-12 Xin Chen , Jiachun Li , Menglong Li , Tiancheng Zhao , Yuan Zhou

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

最优化与控制 · 数学 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

This paper studies a practical regional demand continuous multifacility location problems whose main goal is to locate a given number of services and entry points in each region to distribute certain products to the users at minimum…

最优化与控制 · 数学 2024-12-31 Víctor Blanco , Ricardo Gázquez , Marina Leal

Probabilistic Programming Languages (PPLs) allow users to encode statistical inference problems and automatically apply an inference algorithm to solve them. Popular inference algorithms for PPLs, such as sequential Monte Carlo (SMC) and…

编程语言 · 计算机科学 2023-05-05 Daniel Lundén , Gizem Çaylak , Fredrik Ronquist , David Broman

In this paper, we introduce a new variant of the $p$-median facility location problem in which it is assumed that the exact location of the potential facilities is unknown. Instead, each of the facilities must be located in a region around…

最优化与控制 · 数学 2017-10-24 Víctor Blanco

Parameterizing by the largest processing time $p_{max}$ and the number of different job processing times $d$, we propose a proximity technique for High-Multiplicity Scheduling on Uniform Machines for the objectives Makespan Minimization…

数据结构与算法 · 计算机科学 2024-09-24 Hauke Brinkop , David Fischer , Klaus Jansen

Consider a randomized algorithm that draws samples exactly from a distribution using recursion. Such an algorithm is called a perfect simulation, and here a variety of methods for building this type of algorithm are shown to derive from the…

数据结构与算法 · 计算机科学 2019-07-17 Mark Huber

We learn optimal instance-specific heuristics for the global minimization of nonconvex quadratically-constrained quadratic programs (QCQPs). Specifically, we consider partitioning-based convex mixed-integer programming relaxations for…

最优化与控制 · 数学 2025-08-26 Rohit Kannan , Harsha Nagarajan , Deepjyoti Deka

Understanding the dynamics of evolving social or infrastructure networks is a challenge in applied areas such as epidemiology, viral marketing, or urban planning. During the past decade, data has been collected on such networks but has yet…

社会与信息网络 · 计算机科学 2014-03-27 David Eisenstat , Claire Mathieu , Nicolas Schabanel

With the aggressive scaling of VLSI technology, the explosion of layout patterns creates a critical bottleneck for DFM applications like OPC. Pattern clustering is essential to reduce data complexity, yet existing methods struggle with…

硬件体系结构 · 计算机科学 2025-12-16 Shuo Liu

In this paper we study three previously unstudied variants of the online Facility Location problem, considering an intrinsic scenario when the clients and facilities are not only allowed to arrive to the system, but they can also depart at…

数据结构与算法 · 计算机科学 2018-07-12 Marek Cygan , Artur Czumaj , Marcin Mucha , Piotr Sankowski

The k-median problem is a well-known strongly NP-hard combinatorial optimization problem of both theoretical and practical significance. The previous best approximation ratio for this problem is 2.611+\epsilon (Bryka et al. 2014) based on…

数据结构与算法 · 计算机科学 2015-09-23 Chenchen Wu , Dachuan Xu , Donglei Du , Yishui Wang
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