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We introduce a new graph problem, the token dropping game, and we show how to solve it efficiently in a distributed setting. We use the token dropping game as a tool to design an efficient distributed algorithm for stable orientations and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-18 Sebastian Brandt , Barbara Keller , Joel Rybicki , Jukka Suomela , Jara Uitto

We study the wireless scheduling problem in the SINR model. More specifically, given a set of $n$ links, each a sender-receiver pair, we wish to partition (or \emph{schedule}) the links into the minimum number of slots, each satisfying…

Data Structures and Algorithms · Computer Science 2014-05-02 Magnus M. Halldorsson , Pradipta Mitra

Common definitions of the "standard" LOCAL model tend to be sloppy and even self-contradictory on one point: do the nodes update their state using an arbitrary function or a computable function? So far, this distinction has been safe to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Antonio Cruciani , Avinandan Das , Massimo Equi , Henrik Lievonen , Diep Luong-Le , Augusto Modanese , Jukka Suomela

We construct a model of the Open Graph Axiom (OGA) in which there is a 2-entangled Suslin line $S$. Consequently, in this model, there is a 2-entangled uncountable linear order, but no such order is separable. This resolves a problem posed…

Logic · Mathematics 2025-12-02 Carlos Martinez-Ranero , Lucas Polymeris

We develop a new methodology for model-based clustering. Optimizing the log-likelihood provides a principled statistical framework for clustering, with solutions found via the EM algorithm. However, because the log-likelihood is nonconvex,…

Methodology · Statistics 2026-05-06 Gonzalo Mena

Localization is a computer vision task by which the position and orientation of a camera is determined from an image and environmental map. We propose a method for performing localization in a privacy preserving manner supporting two…

Cryptography and Security · Computer Science 2024-03-28 James Choncholas , Pujith Kachana , André Mateus , Gregoire Phillips , Ada Gavrilovska

Recent research revealed the existence of gaps in the complexity landscape of locally checkable labeling (LCL) problems in the LOCAL model of distributed computing. For example, the deterministic round complexity of any LCL problem on…

Data Structures and Algorithms · Computer Science 2020-09-22 Yi-Jun Chang

This work investigates the problem of sketch-guided object localization (SGOL), where human sketches are used as queries to conduct the object localization in natural images. In this cross-modal setting, we first contribute with a…

Computer Vision and Pattern Recognition · Computer Science 2021-09-27 Pau Riba , Sounak Dey , Ali Furkan Biten , Josep Llados

This work concerns the analysis and design of distributed first-order optimization algorithms over time-varying graphs. The goal of such algorithms is to optimize a global function that is the average of local functions using only local…

Optimization and Control · Mathematics 2020-02-17 Akhil Sundararajan , Bryan Van Scoy , Laurent Lessard

The gap between the known randomized and deterministic local distributed algorithms underlies arguably the most fundamental and central open question in distributed graph algorithms. In this paper, we develop a generic and clean recipe for…

Data Structures and Algorithms · Computer Science 2019-09-19 Mohsen Ghaffari , David G. Harris , Fabian Kuhn

The $k$-center problem is a central optimization problem with numerous applications for machine learning, data mining, and communication networks. Despite extensive study in various scenarios, it surprisingly has not been thoroughly…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-26 Leyla Biabani , Ami Paz

We consider the distributed learning problem where a network of $n$ agents seeks to minimize a global function $F$. Agents have access to $F$ through noisy gradients, and they can locally communicate with their neighbors a network. We study…

Machine Learning · Computer Science 2020-11-09 Tiancheng Qin , S. Rasoul Etesami , César A. Uribe

Let $D$ be a directed graph cellularly embedded in a surface together with non-negative cost on its arcs. Given any integer circulation in $D$, we study the problem of finding a minimum-cost non-negative integer circulation in $D$ that is…

Discrete Mathematics · Computer Science 2020-10-16 Sarah Morell , Ina Seidel , Stefan Weltge

We give a randomized $\Delta$-coloring algorithm in the LOCAL model that runs in $\text{poly} \log \log n$ rounds, where $n$ is the number of nodes of the input graph and $\Delta$ is its maximum degree. This means that randomized…

Data Structures and Algorithms · Computer Science 2022-11-15 Manuela Fischer , Yannic Maus , Magnús M. Halldórsson

We consider the ideal orientation problem in planar graphs. In this problem, we are given an undirected graph $G$ with positive edge lengths and $k$ pairs of distinct vertices $(s_1, t_1), \dots, (s_k, t_k)$ called terminals, and we want to…

Data Structures and Algorithms · Computer Science 2019-12-04 Yipu Wang

We consider the distributed message-passing {LOCAL} model. In this model a communication network is represented by a graph where vertices host processors, and communication is performed over the edges. Computation proceeds in synchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-05-01 Leonid Barenboim

We provide a deterministic scheme for solving any decidable problem in the distributed {sleeping model}. The sleeping model is a generalization of the standard message-passing model, with an additional capability of network nodes to enter a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-05 Leonid Barenboim , Tzalik Maimon

A distributed graph algorithm is basically an algorithm where every node of a graph can look at its neighborhood at some distance in the graph and chose its output. As distributed environment are subject to faults, an important issue is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Laurent Feuilloley

The issue of identifiers is crucial in distributed computing. Informally, identities are used for tackling two of the fundamental difficulties that areinherent to deterministic distributed computing, namely: (1) symmetry breaking, and (2)…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-23 Pierre Fraigniaud , Magnús Halldórsson , Amos Korman

Emerging object-based SLAM algorithms can build a graph representation of an environment comprising nodes for robot poses and object landmarks. However, while this map will contain static objects such as furniture or appliances, many…

Machine Learning · Computer Science 2021-01-22 Niko Sünderhauf
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