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Graphs are widely used to model execution dependencies in applications. In particular, the NP-complete problem of partitioning a graph under constraints receives enormous attention by researchers because of its applicability in…

Data Structures and Algorithms · Computer Science 2017-04-04 Orlando Moreira , Merten Popp , Christian Schulz

Distributed computing excels at processing large scale data, but the communication cost for synchronizing the shared parameters may slow down the overall performance. Fortunately, the interactions between parameter and data in many problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-19 Mu Li , Dave G. Andersen , Alexander J. Smola

We present a new technique to efficiently sample and communicate a large number of elements from a distributed sampling space. When used in the context of a recent LOCAL algorithm for $(\operatorname{degree}+1)$-list-coloring (D1LC), this…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-31 Magnús M. Halldórsson , Alexandre Nolin , Tigran Tonoyan

Finding complete subgraphs in a graph, that is, cliques, is a key problem and has many real-world applications, e.g., finding communities in social networks, clustering gene expression data, modeling ecological niches in food webs, and…

Optimization and Control · Mathematics 2017-05-01 Melisew Tefera Belachew , Nicolas Gillis

The CONGEST and CONGEST-CLIQUE models have been carefully studied to represent situations where the communication bandwidth between processors in a network is severely limited. Messages of only $O(log(n))$ bits of information each may be…

Most existing semi-supervised graph-based clustering methods exploit the supervisory information by either refining the affinity matrix or directly constraining the low-dimensional representations of data points. The affinity matrix…

Machine Learning · Computer Science 2022-09-07 Huaming Ling , Chenglong Bao , Xin Liang , Zuoqiang Shi

SimRank is one of the most fundamental measures that evaluate the structural similarity between two nodes in a graph and has been applied in a plethora of data management tasks. These tasks often involve single-source SimRank computation…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-11 Siqiang Luo , Zulun Zhu

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 introduce a framework for proving lower bounds on computational problems over distributions against algorithms that can be implemented using access to a statistical query oracle. For such algorithms, access to the input distribution is…

Computational Complexity · Computer Science 2016-08-16 Vitaly Feldman , Elena Grigorescu , Lev Reyzin , Santosh Vempala , Ying Xiao

The theme of this paper is how to find all instances of a given "sample" graph in a larger "data graph," using a single round of map-reduce. For the simplest sample graph, the triangle, we improve upon the best known such algorithm. We then…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-11-22 Foto N. Afrati , Dimitris Fotakis , Jeffrey D. Ullman

We design fast deterministic algorithms for distance computation in the congested clique model. Our key contributions include: -- A $(2+\epsilon)$-approximation for all-pairs shortest paths in $O(\log^2{n} / \epsilon)$ rounds on unweighted…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-01 Keren Censor-Hillel , Michal Dory , Janne H. Korhonen , Dean Leitersdorf

In this work, a graph partitioning problem in a fixed number of connected components is considered. Given an undirected graph with costs on the edges, the problem consists of partitioning the set of nodes into a fixed number of subsets with…

Optimization and Control · Mathematics 2024-11-12 Mishelle Cordero , Andrés Miniguano-Trujillo , Diego Recalde , Ramiro Torres , Polo Vaca

Mirror descent (MD) is a powerful first-order optimization technique that subsumes several optimization algorithms including gradient descent (GD). In this work, we develop a semi-definite programming (SDP) framework to analyze the…

Optimization and Control · Mathematics 2022-01-19 Youbang Sun , Mahyar Fazlyab , Shahin Shahrampour

The Minimum Consistent Subset (MCS) problem arises naturally in the context of supervised clustering and instance selection. In supervised clustering, one aims to infer a meaningful partitioning of data using a small labeled subset.…

Data Structures and Algorithms · Computer Science 2025-12-16 Aritra Banik , Mano Prakash Parthasarathi , Venkatesh Raman , Diya Roy , Abhishek Sahu

In this paper, we describe versions of triclustering algorithms adapted for efficient calculations in distributed environments with MapReduce model or parallelisation mechanism provided by modern programming languages. OAC-family of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-27 Dmitry Egurnov , Dmitry I. Ignatov , Dmitry Tochilkin

The importance of classifying connections in large graphs has been the motivation for a rich line of work on distributed subgraph finding that has led to exciting recent breakthroughs. A crucial aspect that remained open was whether…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-27 Keren Censor-Hillel , Dean Leitersdorf , David Vulakh

Traffic-responsive signal control is a cost-effective and easy-to-implement network management strategy with high potential in improving performance in congested networks with dynamic characteristics. Max Pressure (MP) distributed…

Systems and Control · Electrical Eng. & Systems 2023-05-03 Dimitrios Tsitsokas , Anastasios Kouvelas , Nikolas Geroliminis

In distributed model predictive control (MPC), the control input at each sampling time is computed by solving a large-scale optimal control problem (OCP) over a finite horizon using distributed algorithms. Typically, such algorithms require…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Giuseppe Belgioioso , Dominic Liao-McPherson , Mathias Hudoba de Badyn , Nicolas Pelzmann , John Lygeros , Florian Dörfler

Mining cohesive subgraphs from a graph is a fundamental problem in graph data analysis. One notable cohesive structure is $\gamma$-quasi-clique (QC), where each vertex connects at least a fraction $\gamma$ of the other vertices inside.…

Databases · Computer Science 2023-08-29 Kaiqiang Yu , Cheng Long

This work considers the problem of finding analytical expressions for the expected values of dis- tributed computing performance metrics when the underlying communication network has a complex structure. Through active probing tests a real…

Adaptation and Self-Organizing Systems · Physics 2013-11-18 Francisco Prieto-Castrillo , Antonio Astillero , María Botón-Fernández