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The growing popularity of bike-sharing systems around the world has motivated recent attention to models and algorithms for their effective operation. Most of this literature focuses on their daily operation for managing asymmetric demand.…

Optimization and Control · Mathematics 2022-03-15 Daniel Freund , Shane G. Henderson , David B. Shmoys

In this paper we study the problem of locating a given number of hyperplanes minimizing an objective function of the closest distances from a set of points. We propose a general framework for the problem in which norm-based distances…

Optimization and Control · Mathematics 2021-01-12 Víctor Blanco , Alberto Japón , Diego Ponce , Justo Puerto

Hub labeling schemes are popular methods for computing distances on road networks and other large complex networks, often answering to a query within a few microseconds for graphs with millions of edges. In this work, we study their…

Data Structures and Algorithms · Computer Science 2020-10-30 Guillaume Ducoffe

In science and engineering, intelligent processing of complex signals such as images, sound or language is often performed by a parameterized hierarchy of nonlinear processing layers, sometimes biologically inspired. Hierarchical systems…

Machine Learning · Computer Science 2012-12-27 Miguel Á. Carreira-Perpiñán , Weiran Wang

Semi-supervised clustering is a basic problem in various applications. Most existing methods require knowledge of the ideal cluster number, which is often difficult to obtain in practice. Besides, satisfying the must-link constraints is…

Optimization and Control · Mathematics 2025-03-07 Wei Liu , Xin Liu , Michael K. Ng , Zaikun Zhang

In this paper, we study a model reduction technique for leader-follower networked multi-agent systems defined on weighted, undirected graphs with arbitrary linear multivariable agent dynamics. In the network graph of this network, nodes…

Optimization and Control · Mathematics 2016-10-11 Hidde-Jan Jongsma , Petar Mlinarić , Sara Grundel , Peter Benner , Harry L. Trentelman

This work introduces the Re$^{\text{2}}$MaP method, which generates expert-quality macro placements through recursively prototyping and packing tree-based relocating. We first perform multi-level macro grouping and PPA-aware cell clustering…

Hardware Architecture · Computer Science 2025-11-12 Yunqi Shi , Xi Lin , Zhiang Wang , Siyuan Xu , Shixiong Kai , Yao Lai , Chengrui Gao , Ke Xue , Mingxuan Yuan , Chao Qian , Zhi-Hua Zhou

We introduce and study the problem of balanced districting, where given an undirected graph with vertices carrying two types of weights (different population, resource types, etc) the goal is to maximize the total weights covered in vertex…

Data Structures and Algorithms · Computer Science 2025-06-03 Prathamesh Dharangutte , Jie Gao , Shang-En Huang , Fang-Yi Yu

This paper presents the design and analysis of parallel approximation algorithms for facility-location problems, including $\NC$ and $\RNC$ algorithms for (metric) facility location, $k$-center, $k$-median, and $k$-means. These problems…

Data Structures and Algorithms · Computer Science 2010-06-11 Guy E. Blelloch , Kanat Tangwongsan

We study a problem of fundamental importance to ICNs, namely, minimizing routing costs by jointly optimizing caching and routing decisions over an arbitrary network topology. We consider both source routing and hop-by-hop routing settings.…

Networking and Internet Architecture · Computer Science 2017-08-22 Stratis Ioannidis , Edmund Yeh

Matrix rank minimizing subject to affine constraints arises in many application areas, ranging from signal processing to machine learning. Nuclear norm is a convex relaxation for this problem which can recover the rank exactly under some…

Computer Vision and Pattern Recognition · Computer Science 2015-08-20 Zhao Kang , Chong Peng , Qiang Cheng

The constrained path optimization (CPO) problem takes the following input: (a) a road network represented as a directed graph, where each edge is associated with a "cost" and a "score" value; (b) a source-destination pair and; (c) a budget…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-05 Kousik Kumar Dutta , Ankita Dewan , Venkata M. V. Gunturi

We consider a class of nonlinear integer programming problems arising from re-allocation of dock-capacity in a bike sharing system. The main aim of this note is to derive an improved proximity bound for the problem and its scaled variant.…

Optimization and Control · Mathematics 2024-12-10 Akiyoshi Shioura

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…

Optimization and Control · Mathematics 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

The concave utility in the Network Utility Maximization (NUM) problem is only suitable for elastic flows. However, the networks with the multiclass traffic, the utility of inelastic traffic is usually represented by the sigmoidal function…

Systems and Control · Computer Science 2012-04-17 Phuong L. Vo , Nguyen H. Tran , Choong Seon Hong

In this paper we consider two metric covering/clustering problems - \textit{Minimum Cost Covering Problem} (MCC) and $k$-clustering. In the MCC problem, we are given two point sets $X$ (clients) and $Y$ (servers), and a metric on $X \cup…

Computational Geometry · Computer Science 2016-10-05 Sayan Bandyapadhyay , Kasturi Varadarajan

Motivated by applications in social and biological network analysis, we introduce a new form of agnostic clustering termed~\emph{motif correlation clustering}, which aims to minimize the cost of clustering errors associated with both edges…

Data Structures and Algorithms · Computer Science 2018-11-07 Pan Li , Gregory J. Puleo , Olgica Milenkovic

Hierarchical Agglomerative Clustering (HAC) is an extensively studied and widely used method for hierarchical clustering in $\mathbb{R}^k$ based on repeatedly merging the closest pair of clusters according to an input linkage function $d$.…

Data Structures and Algorithms · Computer Science 2025-07-29 MohammadHossein Bateni , Laxman Dhulipala , Willem Fletcher , Kishen N Gowda , D Ellis Hershkowitz , Rajesh Jayaram , Jakub Łącki

We consider an optimization problem posed by an actual newspaper company, which consists of computing a minimum length route for a delivery truck, such that the driver only stops at street crossings, each time delivering copies to all…

Data Structures and Algorithms · Computer Science 2019-01-29 Diego Delle Donne , Guido Tagliavini

This paper deals with an extension of the hub line location problem considering demand elasticity with respect to travel times. The proposed model aims to capture the impact the hub network topology has on demand. The objective is to…

Optimization and Control · Mathematics 2024-03-29 Brenda Cobeña , Ivan Contreras , Luisa I. Martínez-Merino , Antonio M. Rodríguez-Chía
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