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This paper presents a communication efficient distributed algorithm, $\mathcal{CIRFE}$ of the \emph{consensus}+\emph{innovations} type, to estimate a high-dimensional parameter in a multi-agent network, in which each agent is interested in…

Optimization and Control · Mathematics 2018-10-17 Anit Kumar Sahu , Dusan Jakovetic , Soummya Kar

Many distributed learning techniques have been motivated by the increasing size of datasets and their inability to fit into main memory on a single machine. We propose an algorithm that finds the nearest neighbor in a graph locally without…

Data Structures and Algorithms · Computer Science 2019-02-18 Abhinav Mishra

This paper studies the discovery of approximate rules in property graphs. We propose a semantically meaningful measure of error for mining graph entity dependencies (GEDs) at almost hold, to tolerate errors and inconsistencies that exist in…

We introduce the \emph{idemetric} property, which formalises the idea that most nodes in a graph have similar distances between them, and which turns out to be quite standard amongst small-world network models. Modulo reasonable sparsity…

Social and Information Networks · Computer Science 2019-03-06 George Barmpalias , Neng Huang , Andrew Lewis-Pye , Angsheng Li , Xuechen Li , Yicheng Pan , Tim Roughgarden

The goal of property testing is to quickly distinguish between objects which satisfy a property and objects that are $\epsilon$-far from satisfying the property. There are now several general results in this area which show that natural…

Combinatorics · Mathematics 2018-04-05 Jacob Fox , Fan Wei

We develop a general deterministic distributed method for locally rounding fractional solutions of graph problems for which the analysis can be broken down into analyzing pairs of vertices. Roughly speaking, the method can transform…

Data Structures and Algorithms · Computer Science 2022-09-26 Salwa Faour , Mohsen Ghaffari , Christoph Grunau , Fabian Kuhn , Václav Rozhoň

Training Graph Neural Networks(GNNs) on a large monolithic graph presents unique challenges as the graph cannot fit within a single machine and it cannot be decomposed into smaller disconnected components. Distributed sampling-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-30 Hesham Mostafa , Adam Grabowski , Md Asadullah Turja , Juan Cervino , Alejandro Ribeiro , Nageen Himayat

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 describe an approach to parallel graph partitioning that scales to hundreds of processors and produces a high solution quality. For example, for many instances from Walshaw's benchmark collection we improve the best known partitioning.…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-04-08 Manuel Holtgrewe , Peter Sanders , Christian Schulz

This paper initiates the study of the impact of failures on the fundamental problem of \emph{information spreading} in the Vertex-Congest model, in which in every round, each of the $n$ nodes sends the same $O(\log{n})$-bit message to all…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-07 Keren Censor-Hillel , Tariq Toukan

The $k$-of-$n$ testing problem involves performing $n$ independent tests sequentially, in order to determine whether/not at least $k$ tests pass. The objective is to minimize the expected cost of testing. This is a fundamental and…

Data Structures and Algorithms · Computer Science 2026-03-26 Rayen Tan , Viswanath Nagarajan

A method for improving the efficiency of graph isomorphism testing is presented. The method uses the structure of the graph colored by vertex hash codes as a means of partitioning vertices into equivalence classes, which in turn reduces the…

Data Structures and Algorithms · Computer Science 2016-06-02 Thomas E. Portegys

A $k$-modal probability distribution over the discrete domain $\{1,...,n\}$ is one whose histogram has at most $k$ "peaks" and "valleys." Such distributions are natural generalizations of monotone ($k=0$) and unimodal ($k=1$) probability…

Data Structures and Algorithms · Computer Science 2014-09-16 Constantinos Daskalakis , Ilias Diakonikolas , Rocco A. Servedio

Parameterized complexity theory offers a framework for a refined analysis of hard algorithmic problems. Instead of expressing the running time of an algorithm as a function of the input size only, running times are expressed with respect to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-18 Sebastian Siebertz , Alexandre Vigny

Self-stabilizing algorithms are an important because of their robustness and guaranteed convergence. Starting from any arbitrary state, a self-stabilizing algorithm is guaranteed to converge to a legitimate state.Those algorithms are not…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-20 Thejaka Kanewala , Marcin Zalewski , Martina Barnas , Andrew Lumsdaine

Stochastic optimization algorithms update models with cheap per-iteration costs sequentially, which makes them amenable for large-scale data analysis. Such algorithms have been widely studied for structured sparse models where the sparsity…

Machine Learning · Computer Science 2019-05-10 Baojian Zhou , Feng Chen , Yiming Ying

We present a time-optimal deterministic distributed algorithm for approximating a minimum weight vertex cover in hypergraphs of rank $f$. This problem is equivalent to the Minimum Weight Set Cover Problem in which the frequency of every…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-20 Ran Ben-Basat , Guy Even , Ken-ichi Kawarabayashi , Gregory Schwartzman

The development of the Parallel ROOT Facility, PROOF, enables a physicist to analyze and understand much larger data sets on a shorter time scale. It makes use of the inherent parallelism in event data and implements an architecture that…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Maarten Ballintijn , Rene Brun , Fons Rademakers , Gunther Roland

The field of property testing of probability distributions, or distribution testing, aims to provide fast and (most likely) correct answers to questions pertaining to specific aspects of very large datasets. In this work, we consider a…

Data Structures and Algorithms · Computer Science 2015-04-27 Clément L. Canonne

Iterative Proportional Fitting (IPF), combined with EM, is commonly used as an algorithm for likelihood maximization in undirected graphical models. In this paper, we present two iterative algorithms that generalize upon IPF. The first one…

Machine Learning · Computer Science 2013-01-07 Wim Wiegerinck , Tom Heskes