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Motivated by the increasing need for fast processing of large-scale graphs, we study a number of fundamental graph problems in a message-passing model for distributed computing, called $k$-machine model, where we have $k$ machines that…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-10 Khalid Hourani , Hartmut Klauck , William K. Moses , Danupon Nanongkai , Gopal Pandurangan , Peter Robinson , Michele Scquizzato

Motivated by the increasing need to understand the distributed algorithmic foundations of large-scale graph computations, we study some fundamental graph problems in a message-passing model for distributed computing where $k \geq 2$…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-27 Gopal Pandurangan , Peter Robinson , Michele Scquizzato

The subgraph-centric programming model is a promising approach and has been applied in many state-of-the-art distributed graph computing frameworks. However, traditional graph partition algorithms have significant difficulties in processing…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-08 Shuai Zhang , Zite Jiang , Xingzhong Hou , Zhen Guan , Mengting Yuan , Haihang You

In this paper, we study distributed graph algorithms in networks in which the nodes have a limited communication capacity. Many distributed systems are built on top of an underlying networking infrastructure, for example by using a virtual…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-26 John Augustine , Mohsen Ghaffari , Robert Gmyr , Kristian Hinnenthal , Fabian Kuhn , Jason Li , Christian Scheideler

Volt-var control (VVC) is the problem of operating power distribution systems within healthy regimes by controlling actuators in power systems. Existing works have mostly adopted the conventional routine of representing the power systems (a…

Machine Learning · Computer Science 2022-06-22 Xian Yeow Lee , Soumik Sarkar , Yubo Wang

In this paper, we consider the binary classification problem via distributed Support-Vector-Machines (SVM), where the idea is to train a network of agents, with limited share of data, to cooperatively learn the SVM classifier for the global…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Mohammadreza Doostmohammadian , Alireza Aghasi , Themistoklis Charalambous , Usman A. Khan

This work bridges the gap between distributed and centralised models of computing in the context of sublinear-time graph algorithms. A priori, typical centralised models of computing (e.g., parallel decision trees or centralised local…

Data Structures and Algorithms · Computer Science 2015-12-18 Mika Göös , Juho Hirvonen , Reut Levi , Moti Medina , Jukka Suomela

This paper considers distributed optimization algorithms, with application in binary classification via distributed support-vector-machines (D-SVM) over multi-agent networks subject to some link nonlinearities. The agents solve a…

Systems and Control · Electrical Eng. & Systems 2023-04-14 Mohammadreza Doostmohammadian , Alireza Aghasi , Houman Zarrabi

The message complexity of a distributed algorithm is the total number of messages sent by all nodes over the course of the algorithm. This paper studies the message complexity of distributed algorithms for fundamental graph optimization…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-28 Fabien Dufoulon , Shreyas Pai , Gopal Pandurangan , Sriram V. Pemmaraju , Peter Robinson

The independent set on a graph $G=(V,E)$ is a subset of $V$ such that no two vertices in the subset have an edge between them. The MIS problem on $G$ seeks to identify an independent set with maximum cardinality, i.e. maximum independent…

Data Structures and Algorithms · Computer Science 2017-05-26 Bhadrachalam Chitturi

Estimating the frequency of sub-graphs is of importance for many tasks, including sub-graph isomorphism, kernel-based anomaly detection, and network structure analysis. While multiple algorithms were proposed for full enumeration or…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-28 Itay Levinas , Roy Scherz , Yoram Louzoun

A graph is weakly $2$-colored if the nodes are labeled with colors black and white such that each black node is adjacent to at least one white node and vice versa. In this work we study the distributed computational complexity of weak…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-19 Alkida Balliu , Juho Hirvonen , Dennis Olivetti , Jukka Suomela

This thesis is concerned with the design of distributed algorithms for solving optimization problems. We consider networks where each node has exclusive access to a cost function, and design algorithms that make all nodes cooperate to find…

Optimization and Control · Mathematics 2013-12-03 João F. C. Mota

We conduct a systematic study of asynchronous models of distributed computing consisting of identical finite-state devices that cooperate in a network to decide if the network satisfies a given graph-theoretical property. Models discussed…

Formal Languages and Automata Theory · Computer Science 2020-07-08 Javier Esparza , Fabian Reiter

We study what deterministic distributed algorithms can compute on random input graphs in extremely weak models of distributed computing: all nodes are anonymous, and in each communication round, nodes broadcast a message to all their…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-03 Joel Rybicki , Oleg Verbitsky , Maksim Zhukovskii

While the relationship of time and space is an established topic in traditional centralised complexity theory, this is not the case in distributed computing. We aim to remedy this by studying the time and space complexity of algorithms in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-11 Tuomo Lempiäinen , Jukka Suomela

Deep learning has advanced from fully connected architectures to structured models organized into components, e.g., the transformer composed of positional elements, modular architectures divided into slots, and graph neural nets made up of…

Machine Learning · Computer Science 2021-07-13 Dianbo Liu , Alex Lamb , Kenji Kawaguchi , Anirudh Goyal , Chen Sun , Michael Curtis Mozer , Yoshua Bengio

Distributed computing is fundamental to multi-agent systems, with solving distributed linear equations as a typical example. In this paper, we study distributed solvers for network linear equations over a network with node-to-node…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Lei Wang , Zihao Ren , Deming Yuan , Guodong Shi

Balanced partitioning is often a crucial first step in solving large-scale graph optimization problems, e.g., in some cases, a big graph can be chopped into pieces that fit on one machine to be processed independently before stitching the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-10 Kevin Aydin , MohammadHossein Bateni , Vahab Mirrokni

We consider distributed online convex optimization problems, where the distributed system consists of various computing units connected through a time-varying communication graph. In each time step, each computing unit selects a constrained…

Machine Learning · Computer Science 2019-12-23 Deming Yuan , Alexandre Proutiere , Guodong Shi
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