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This paper proposes an almost feasible Sequential Linear Programming (afSLP) algorithm. In the first part, the practical limitations of previously proposed Feasible Sequential Linear Programming (FSLP) methods are discussed along with…

Optimization and Control · Mathematics 2024-01-26 David Kiessling , Charlie Vanaret , Alejandro Astudillo , Wilm Decre , Jan Swevers

We consider the classic facility location problem in fully dynamic data streams, where elements can be both inserted and deleted. In this problem, one is interested in maintaining a stable and high quality solution throughout the data…

Data Structures and Algorithms · Computer Science 2022-10-26 Sayan Bhattacharya , Silvio Lattanzi , Nikos Parotsidis

We study a variation of facility location problems (FLPs) that aims to improve the accessibility of agents to the facility within the context of mechanism design without money. In such a variation, agents have preferences on the ideal…

Computer Science and Game Theory · Computer Science 2024-09-16 Hau Chan , Jianan Lin , Chenhao Wang , Yanxi Xie

We study the basic allocation problem of assigning resources to players so as to maximize fairness. This is one of the few natural problems that enjoys the intriguing status of having a better estimation algorithm than approximation…

Data Structures and Algorithms · Computer Science 2016-11-24 Chidambaram Annamalai , Christos Kalaitzis , Ola Svensson

The paper studies a fundamental federated learning (FL) problem involving multiple clients with heterogeneous constrained resources. Compared with the numerous training parameters, the computing and communication resources of clients are…

Machine Learning · Computer Science 2024-06-21 Ruirui Zhang , Xingze Wu , Yifei Zou , Zhenzhen Xie , Peng Li , Xiuzhen Cheng , Dongxiao Yu

Oblivious dimension reduction, \`{a} la the Johnson-Lindenstrauss (JL) Lemma, is a fundamental approach for processing high-dimensional data. We study this approach for Uniform Facility Location (UFL) on a Euclidean input…

Data Structures and Algorithms · Computer Science 2024-11-11 Lingxiao Huang , Shaofeng H. -C. Jiang , Robert Krauthgamer , Di Yue

The "Inertial Forward-Backward algorithm" (IFB) is a powerful tool for convex nonsmooth minimization problems, it gives the well known "fast iterative shrinkage-thresholding algorithm " (FISTA), which enjoys $O\left( {\frac{1}{{{k^2}}}}…

Optimization and Control · Mathematics 2022-02-25 Hongwei Liu , Ting Wang , Zexian Liu

Federated Parameter-Efficient Fine-Tuning (Fed-PEFT) enables lightweight adaptation of large pre-trained models in federated learning settings by updating only a small subset of parameters. However, Fed-PEFT methods typically assume a fixed…

Machine Learning · Computer Science 2026-04-13 Feng Yu , Jia Hu , Geyong Min

Wireless federated learning (WFL) suffers from heterogeneity prevailing in the data distributions, computing powers, and channel conditions of participating devices. This paper presents a new Federated Learning with Adjusted leaRning ratE…

Signal Processing · Electrical Eng. & Systems 2024-04-24 Bingnan Xiao , Jingjing Zhang , Wei Ni , Xin Wang

Hard-capacitated $k$-means (HCKM) is one of the fundamental problems remaining open in combinatorial optimization and data mining areas. In this problem, one is required to partition a given $n$-point set into $k$ disjoint clusters with…

Data Structures and Algorithms · Computer Science 2019-05-01 Yicheng Xu , Rolf H. Möhring , Dachuan Xu , Yong Zhang , Yifei Zou

Non-Independent and Identically Distributed (non- IID) data distribution among clients is considered as the key factor that degrades the performance of federated learning (FL). Several approaches to handle non-IID data such as personalized…

Machine Learning · Computer Science 2022-10-12 Canh T. Dinh , Tung T. Vu , Nguyen H. Tran , Minh N. Dao , Hongyu Zhang

We study the Capacitated k-Median problem for which existing constant-factor approximation algorithms are all pseudo-approximations that violate either the capacities or the upper bound k on the number of open facilities. Using the natural…

Data Structures and Algorithms · Computer Science 2016-05-12 Gökalp Demirci , Shi Li

We focus on a simple, one-dimensional collective decision problem (often referred to as the facility location problem) and explore issues of strategyproofness and proportionality-based fairness. We introduce and analyze a hierarchy of…

Computer Science and Game Theory · Computer Science 2023-11-29 Haris Aziz , Alexander Lam , Barton E. Lee , Toby Walsh

We study the facility location problems where agents are located on a real line and divided into groups based on criteria such as ethnicity or age. Our aim is to design mechanisms to locate a facility to approximately minimize the costs of…

Computer Science and Game Theory · Computer Science 2023-06-06 Houyu Zhou , Minming Li , Hau Chan

The Fixed Charge Transportation (FCT) problem models transportation scenarios where we need to send a commodity from $n$ sources to $m$ sinks, and the cost of sending a commodity from a source to a sink consists of a linear component and a…

Data Structures and Algorithms · Computer Science 2025-04-28 Yong Chen , Shi Li , Zihao Liang

Most commonly used \emph{adaptive} algorithms for univariate real-valued function approximation and global minimization lack theoretical guarantees. Our new locally adaptive algorithms are guaranteed to provide answers that satisfy a…

Numerical Analysis · Mathematics 2017-08-28 Sou-Cheng T. Choi , Yuhan Ding , Fred J. Hickernell , Xin Tong

This paper addresses the challenging scheduling problem of coflows with release times, with the objective of minimizing the total weighted completion time. Previous literature has predominantly concentrated on establishing the scheduling…

Data Structures and Algorithms · Computer Science 2023-12-27 Chi-Yeh Chen

We present approximation algorithms for the Fault-tolerant $k$-Supplier with Outliers ($\mathsf{F}k\mathsf{SO}$) problem. This is a common generalization of two known problems -- $k$-Supplier with Outliers, and Fault-tolerant $k$-Supplier…

Data Structures and Algorithms · Computer Science 2024-01-18 Deeparnab Chakrabarty , Luc Cote , Ankita Sarkar

In this paper, we introduce and study the Facility Location Problem with Aleatory Agents (FLPAA), where the facility accommodates n agents larger than the number of agents reporting their preferences, namely n_r. The spare capacity is used…

Computer Science and Game Theory · Computer Science 2024-09-30 Gennaro Auricchio , Jie Zhang

We propose a flat nonlinear placement algorithm FFTPL using fast Fourier transform for density equalization. The placement instance is modeled as an electrostatic system with the analogy of density cost to the potential energy. A…

Computational Engineering, Finance, and Science · Computer Science 2013-12-18 Jingwei Lu , Pengwen Chen , Chin-Chih Chang , Lu Sha , Dennis Jen-Hsin Huang , Chin-Chi Teng , Chung-Kuan Cheng