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We consider the Stochastic Matching problem, which is motivated by applications in kidney exchange and online dating. In this problem, we are given an undirected graph. Each edge is assigned a known, independent probability of existence and…

Data Structures and Algorithms · Computer Science 2020-10-19 Marek Adamczyk , Brian Brubach , Fabrizio Grandoni , Karthik A. Sankararaman , Aravind Srinivasan , Pan Xu

This article explores and analyzes the unsupervised clustering of large partially observed graphs. We propose a scalable and provable randomized framework for clustering graphs generated from the stochastic block model. The clustering is…

Social and Information Networks · Computer Science 2022-12-06 Mostafa Rahmani , Andre Beckus , Adel Karimian , George Atia

Clustering a group of vertices in networks facilitates applications across different domains, such as social computing and Internet of Things. However, challenges arises for clustering networks with increased scale. This paper proposes a…

Social and Information Networks · Computer Science 2022-04-07 Feng Xia , Shuo Yu , Chengfei Liu , Ivan Lee

Many graph mining applications rely on detecting subgraphs which are near-cliques. There exists a dichotomy between the results in the existing work related to this problem: on the one hand the densest subgraph problem (DSP) which maximizes…

Data Structures and Algorithms · Computer Science 2014-05-22 Charalampos E. Tsourakakis

Given query access to an undirected graph $G$, we consider the problem of computing a $(1\pm\epsilon)$-approximation of the number of $k$-cliques in $G$. The standard query model for general graphs allows for degree queries, neighbor…

Data Structures and Algorithms · Computer Science 2018-11-13 Talya Eden , Dana Ron , C. Seshadhri

Item neighbourhood methods for collaborative filtering learn a weighted graph over the set of items, where each item is connected to those it is most similar to. The prediction of a user's rating on an item is then given by that rating of…

Machine Learning · Computer Science 2012-06-22 Aaron Defazio , Tiberio Caetano

This work considers clustering nodes of a largely incomplete graph. Under the problem setting, only a small amount of queries about the edges can be made, but the entire graph is not observable. This problem finds applications in…

Machine Learning · Computer Science 2021-10-04 Shahana Ibrahim , Xiao Fu

Clique counting is a fundamental task in network analysis, and even the simplest setting of $3$-cliques (triangles) has been the center of much recent research. Getting the count of $k$-cliques for larger $k$ is algorithmically challenging,…

Data Structures and Algorithms · Computer Science 2020-01-22 Shweta Jain , C. Seshadhri

We introduce a new algebraic sieving technique to detect constrained multilinear monomials in multivariate polynomial generating functions given by an evaluation oracle. As applications of the technique, we show an $O^*(2^k)$-time…

Data Structures and Algorithms · Computer Science 2013-05-15 Andreas Bjorklund , Petteri Kaski , Lukasz Kowalik

A maximum likelihood methodology for a general class of models is presented, using an approximate Bayesian computation (ABC) approach. The typical target of ABC methods are models with intractable likelihoods, and we combine an ABC-MCMC…

Methodology · Statistics 2016-08-16 Umberto Picchini , Rachele Anderson

We provide a fast distributed algorithm for detecting $h$-cycles in the \textsf{Congested Clique} model, whose running time decreases as the number of $h$-cycles in the graph increases. In undirected graphs, constant-round algorithms are…

Data Structures and Algorithms · Computer Science 2024-08-28 Keren Censor-Hillel , Tomer Even , Virginia Vassilevska Williams

Detecting PE malware files is now commonly approached using statistical and machine learning models. While these models commonly use features extracted from the structure of PE files, we propose that icons from these files can also help…

Cryptography and Security · Computer Science 2017-12-12 Pedro Silva , Sepehr Akhavan-Masouleh , Li Li

This article suggests an algorithm of impulse noise filtration, based on the community detection in graphs. The image is representing as non-oriented weighted graph. Each pixel of an image is corresponding to a vertex of the graph.…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 S. V. Belim , S. B. Larionov

A motif is a frequently occurring subgraph of a given directed or undirected graph $G$. Motifs capture higher order organizational structure of $G$ beyond edge relationships, and, therefore, have found wide applications such as in graph…

Data Structures and Algorithms · Computer Science 2022-09-13 Michael Kapralov , Mikhail Makarov , Sandeep Silwal , Christian Sohler , Jakab Tardos

Due to their computational complexity, graph cuts for cluster detection and identification are used mostly in the form of convex relaxations. We propose to utilize the original graph cuts such as Ratio, Normalized or Cheeger Cut to detect…

Data Structures and Algorithms · Computer Science 2024-10-15 Leo Suchan , Housen Li , Axel Munk

This paper unifies the theory of consistent-set maximization for robust outlier detection in a simultaneous localization and mapping framework. We first describe the notion of pairwise consistency before discussing how a consistency graph…

Robotics · Computer Science 2023-08-08 Brendon Forsgren , Ram Vasudevan , Michael Kaess , Timothy W. McLain , Joshua G. Mangelson

A matching in a graph is induced if no two of its edges are joined by an edge, and finding a large induced matching is a very hard problem. Lin et al. (Approximating weighted induced matchings, Discrete Applied Mathematics 243 (2018)…

Combinatorics · Mathematics 2018-12-17 Julien Baste , Maximilian Fürst , Dieter Rautenbach

We present a parallel k-clique listing algorithm with improved work bounds (for the same depth) in sparse graphs with low degeneracy or arboricity. We achieve this by introducing and analyzing a new pruning criterion for a backtracking…

Data Structures and Algorithms · Computer Science 2021-09-21 Lukas Gianinazzi , Maciej Besta , Yannick Schaffner , Torsten Hoefler

Fonts convey different impressions to readers. These impressions often come from the font shapes. However, the correlation between fonts and their impression is weak and unstable because impressions are subjective. To capture such weak and…

Computer Vision and Pattern Recognition · Computer Science 2024-02-27 Yugo Kubota , Daichi Haraguchi , Seiichi Uchida

Frequent and structurally related subgraphs, also known as network motifs, are valuable features of many graph datasets. However, the high computational complexity of identifying motif sets in arbitrary datasets (motif mining) has limited…

Machine Learning · Computer Science 2022-06-08 Carlos Oliver , Dexiong Chen , Vincent Mallet , Pericles Philippopoulos , Karsten Borgwardt