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We consider a fair resource allocation problem in the no-regret setting against an unrestricted adversary. The objective is to allocate resources equitably among several agents in an online fashion so that the difference of the aggregate…

Machine Learning · Computer Science 2023-03-14 Abhishek Sinha , Ativ Joshi , Rajarshi Bhattacharjee , Cameron Musco , Mohammad Hajiesmaili

In this work, we study a range of constrained versions of the $k$-supplier and $k$-center problems such as: capacitated, fault-tolerant, fair, etc. These problems fall under a broad framework of constrained clustering. A unified framework…

Data Structures and Algorithms · Computer Science 2021-10-28 Dishant Goyal , Ragesh Jaiswal

Classical clustering problems such as \emph{Facility Location} and \emph{$k$-Median} aim to efficiently serve a set of clients from a subset of facilities -- minimizing the total cost of facility openings and client assignments in Facility…

Data Structures and Algorithms · Computer Science 2025-08-05 Rajni Dabas , Samir Khuller , Emilie Rivkin

Clustering with capacity constraints is a fundamental problem that attracted significant attention throughout the years. In this paper, we give the first FPT constant-factor approximation algorithm for the problem of clustering points in a…

Data Structures and Algorithms · Computer Science 2024-02-21 Sayan Bandyapadhyay , William Lochet , Saket Saurabh

In the k-center problem, given a metric space V and a positive integer k, one wants to select k elements (centers) of V and an assignment from V to centers, minimizing the maximum distance between an element of V and its assigned center.…

Data Structures and Algorithms · Computer Science 2016-08-08 Cristina G. Fernandes , Samuel P. de Paula , Lehilton L. C. Pedrosa

Fair resource allocation is a fundamental optimization problem with applications in operations research, networking, and economic and game theory. Research in these areas has led to the general acceptance of a class of $\alpha$-fair utility…

Data Structures and Algorithms · Computer Science 2020-11-17 Jelena Diakonikolas , Maryam Fazel , Lorenzo Orecchia

Federated learning (FL), as an emerging artificial intelligence (AI) approach, enables decentralized model training across multiple devices without exposing their local training data. FL has been increasingly gaining popularity in both…

Machine Learning · Computer Science 2023-10-23 Victoria Huang , Shaleeza Sohail , Michael Mayo , Tania Lorido Botran , Mark Rodrigues , Chris Anderson , Melanie Ooi

We consider Online Facility Location in the framework of learning-augmented online algorithms. In Online Facility Location (OFL), demands arrive one-by-one in a metric space and must be (irrevocably) assigned to an open facility upon…

Data Structures and Algorithms · Computer Science 2024-08-20 Dimitris Fotakis , Evangelia Gergatsouli , Themis Gouleakis , Nikolas Patris , Thanos Tolias

Artificial intelligence-generated traffic is changing the shape of wireless networks. Specifically, as the amount of data generated to train machine learning models is massive, network resources must be carefully allocated to continue…

Networking and Internet Architecture · Computer Science 2026-02-03 Giovanni Perin , Eunjeong Jeong , Nikolaos Pappas

Federated Learning (FL) is an intriguing distributed machine learning approach due to its privacy-preserving characteristics. To balance the trade-off between energy and execution latency, and thus accommodate different demands and…

Machine Learning · Computer Science 2025-09-12 Xinyu Zhou , Jun Zhao , Huimei Han , Claude Guet

In this paper, we give first constant factor approximation for capacitated knapsack median problem (CKM) for hard uniform capacities, violating the budget only by an additive factor of $f_{max}$ where $f_{max}$ is the maximum cost of a…

Data Structures and Algorithms · Computer Science 2022-03-24 Sapna Grover , Neelima Gupta , Samir Khuller , Aditya Pancholi

In this paper, we give the first constant approximation algorithm for the lower bounded facility location (LBFL) problem with general lower bounds. Prior to our work, such algorithms were only known for the special case where all facilities…

Data Structures and Algorithms · Computer Science 2018-05-08 Shi Li

In the beyond 5G era, AI/ML empowered realworld digital twins (DTs) will enable diverse network operators to collaboratively optimize their networks, ultimately improving end-user experience. Although centralized AI-based learning…

Networking and Internet Architecture · Computer Science 2025-11-05 Saroj Kumar Panda , Tania Panayiotou , Georgios Ellinas , Sadananda Behera

Capacitated fair-range $k$-clustering generalizes classical $k$-clustering by incorporating both capacity constraints and demographic fairness. In this setting, each facility has a capacity limit and may belong to one or more demographic…

Data Structures and Algorithms · Computer Science 2025-05-23 Ameet Gadekar , Suhas Thejaswi

We provide nearly optimal algorithms for online facility location (OFL) with predictions. In OFL, $n$ demand points arrive in order and the algorithm must irrevocably assign each demand point to an open facility upon its arrival. The…

Data Structures and Algorithms · Computer Science 2022-08-08 Shaofeng H. -C. Jiang , Erzhi Liu , You Lyu , Zhihao Gavin Tang , Yubo Zhang

We study two online resource allocation problems with reusability in an adversarial setting, namely kRental-Fixed and kRental-Variable. In both problems, a decision-maker manages $k$ identical reusable units and faces a sequence of rental…

Data Structures and Algorithms · Computer Science 2025-07-30 Hossein Nekouyan , Bo Sun , Raouf Boutaba , Xiaoqi Tan

In this work, we study the extension of two variants of the facility location problem (FL) to make them robust towards a few distantly located clients. First, $k$-facility location problem ($k$FL), a common generalization of FL and $k$…

Data Structures and Algorithms · Computer Science 2021-07-02 Rajni Dabas , Neelima Gupta

Federated Learning (FL) plays a critical role in distributed systems. In these systems, data privacy and confidentiality hold paramount importance, particularly within edge-based data processing systems such as IoT devices deployed in smart…

Machine Learning · Computer Science 2024-03-08 Humaid Ahmed Desai , Amr Hilal , Hoda Eldardiry

The overwhelming majority of survivable (fault-tolerant) network design models assume a uniform scenario set. Such a scenario set assumes that every subset of the network resources (edges or vertices) of a given cardinality $k$ comprises a…

Data Structures and Algorithms · Computer Science 2013-01-29 David Adjiashvili

We consider the $k$-Median problem on planar graphs: given an edge-weighted planar graph $G$, a set of clients $C \subseteq V(G)$, a set of facilities $F \subseteq V(G)$, and an integer parameter $k$, the task is to find a set of at most…

Data Structures and Algorithms · Computer Science 2019-05-03 Vincent Cohen-Addad , Marcin Pilipczuk , Michał Pilipczuk