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In the online non-metric variant of the facility location problem, there is a given graph consisting of a set $F$ of facilities (each with a certain opening cost), a set $C$ of potential clients, and weighted connections between them. The…

Data Structures and Algorithms · Computer Science 2021-01-12 Marcin Bienkowski , Björn Feldkord , Paweł Schmidt

A major technique in learning-augmented online algorithms is combining multiple algorithms or predictors. Since the performance of each predictor may vary over time, it is desirable to use not the single best predictor as a benchmark, but…

Machine Learning · Computer Science 2023-12-19 Antonios Antoniadis , Christian Coester , Marek Eliáš , Adam Polak , Bertrand Simon

One of the important features of an interconnection network is its ability to efficiently simulate programs or parallel algorithms written for other architectures. Such a simulation problem can be mathematically formulated as a graph…

Combinatorics · Mathematics 2019-11-19 A. Arul Shantrinal , R. Sundara Rajan , A. Ramesh Babu , S. Anil , Mohammed Ali Ahmed

While obtaining optimal algorithms for the most important problems in the LOCAL model has been one of the central goals in the area of distributed algorithms since its infancy, tight complexity bounds are elusive for many problems even when…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 Sebastian Brandt , Ananth Narayanan

This paper considers the recently popular beyond-worst-case algorithm analysis model which integrates machine-learned predictions with online algorithm design. We consider the online Steiner tree problem in this model for both directed and…

Machine Learning · Computer Science 2023-03-21 Chenyang Xu , Benjamin Moseley

Given an arbitrary set of high dimensional points in $\ell_1$, there are known negative results that preclude the possibility of always mapping them to a low dimensional $\ell_1$ space while preserving distances with small multiplicative…

Data Structures and Algorithms · Computer Science 2024-04-09 Moses Charikar , Spencer Compton , Chirag Pabbaraju

We consider online algorithms for the $k$-server problem on trees. There is a $k$-competitive algorithm for this problem, and it is the best competitive ratio. M. Chrobak and L. Larmore provided it. At the same time, the existing…

Data Structures and Algorithms · Computer Science 2022-05-02 Kamil Khadiev , Maxim Yagafarov

As a technique to investigate link-level loss rates of a computer network with low operational cost, loss tomography has received considerable attentions in recent years. A number of parameter estimation methods have been proposed for loss…

Methodology · Statistics 2015-10-27 Ke Deng , Yang Li , Weiping Zhu , Jun S. Liu

We consider the following online optimization problem. We are given a graph $G$ and each vertex of the graph is assigned to one of $\ell$ servers, where servers have capacity $k$ and we assume that the graph has $\ell \cdot k$ vertices.…

Data Structures and Algorithms · Computer Science 2020-11-03 Monika Henzinger , Stefan Neumann , Harald Räcke , Stefan Schmid

In the online hitting set problem, sets arrive over time, and the algorithm has to maintain a subset of elements that hit all the sets seen so far. Alon, Awerbuch, Azar, Buchbinder, and Naor (SICOMP 2009) gave an algorithm with competitive…

Data Structures and Algorithms · Computer Science 2026-03-17 Sujoy Bhore , Anupam Gupta , Amit Kumar

We consider parametrized versions of metrical task systems and metrical service systems, two fundamental models of online computing, where the constrained parameter is the number of possible distinct requests $m$. Such parametrization…

Data Structures and Algorithms · Computer Science 2019-04-09 Sébastien Bubeck , Yuval Rabani

In this paper, we study $k$-Way Min-cost Perfect Matching with Delays - the $k$-MPMD problem. This problem considers a metric space with $n$ nodes. Requests arrive at these nodes in an online fashion. The task is to match these requests…

Data Structures and Algorithms · Computer Science 2021-09-15 Darya Melnyk , Yuyi Wang , Roger Wattenhofer

This paper studies a new online problem, referred to as \emph{min-cost perfect matching with delays (MPMD)}, defined over a finite metric space (i.e., a complete graph with positive edge weights obeying the triangle inequality)…

Data Structures and Algorithms · Computer Science 2016-03-10 Yuval Emek , Shay Kutten , Roger Wattenhofer

We consider the phylogenetic tree reconstruction problem with insertions and deletions (indels). Phylogenetic algorithms proceed under a model where sequences evolve down the model tree, and given sequences at the leaves, the problem is to…

Data Structures and Algorithms · Computer Science 2019-02-22 Arun Ganesh , Qiuyi Zhang

In the online bipartite matching with reassignments problem, an algorithm is initially given only one side of the vertex set of a bipartite graph; the vertices on the other side are revealed to the algorithm one by one, along with its…

Data Structures and Algorithms · Computer Science 2020-03-12 Yongho Shin , Kangsan Kim , Seungmin Lee , Hyung-Chan An

Batch training of machine learning models based on neural networks is now well established, whereas to date streaming methods are largely based on linear models. To go beyond linear in the online setting, nonparametric methods are of…

Signal Processing · Electrical Eng. & Systems 2020-01-22 Alec Koppel , Amrit Singh Bedi , Ketan Rajawat , Brian M. Sadler

Inference of the network structure (e.g., routing topology) and dynamics (e.g., link performance) is an essential component in many network design and management tasks. In this paper we propose a new, general framework for analyzing and…

Networking and Internet Architecture · Computer Science 2019-11-13 Jian Ni , Sekhar Tatikonda

Modern networked systems are increasingly reconfigurable, enabling demand-aware infrastructures whose resources can be adjusted according to the workload they currently serve. Such dynamic adjustments can be exploited to improve network…

Data Structures and Algorithms · Computer Science 2019-04-12 Monika Henzinger , Stefan Neumann , Stefan Schmid

In this paper, we present a simple factor 6 algorithm for approximating the optimal multiplicative distortion of embedding a graph metric into a tree metric (thus improving and simplifying the factor 100 and 27 algorithms of B\v{a}doiu,…

Metric Geometry · Mathematics 2015-03-17 Victor Chepoi , Feodor Dragan , Ilan Newman , Yuri Rabinovich , Yann Vaxes

The largest common embeddable subtree problem asks for the largest possible tree embeddable into two input trees and generalizes the classical maximum common subtree problem. Several variants of the problem in labeled and unlabeled rooted…

Data Structures and Algorithms · Computer Science 2018-05-03 Andre Droschinsky , Nils M. Kriege , Petra Mutzel