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In this paper, we introduce a self-supervised learning method to enhance the graph-level representations with the help of a set of subgraphs. For this purpose, we propose a universal framework to generate subgraphs in an auto-regressive way…

Machine Learning · Computer Science 2021-05-10 Chenguang Wang , Ziwen Liu

Graph coarsening is a widely used dimensionality reduction technique for approaching large-scale graph machine learning problems. Given a large graph, graph coarsening aims to learn a smaller-tractable graph while preserving the properties…

Machine Learning · Statistics 2022-10-04 Manoj Kumar , Anurag Sharma , Sandeep Kumar

Graph-based approximate nearest neighbor search has attracted more and more attentions due to its online search advantages. Numbers of methods studying the enhancement of speed and recall have been put forward. However, few of them focus on…

Information Retrieval · Computer Science 2021-02-10 Kang Zhao , Pan Pan , Yun Zheng , Yanhao Zhang , Changxu Wang , Yingya Zhang , Yinghui Xu , Rong Jin

Graphs are widely used in various fields of computer science. They have also found application in unrelated areas, leading to a diverse range of problems. These problems can be modeled as relationships between entities in various contexts,…

Data Structures and Algorithms · Computer Science 2024-05-20 Davide Rucci

Graphs are nowadays ubiquitous in the fields of signal processing and machine learning. As a tool used to express relationships between objects, graphs can be deployed to various ends: I) clustering of vertices, II) semi-supervised…

Machine Learning · Computer Science 2020-07-17 Carlos Lassance , Vincent Gripon , Gonzalo Mateos

Several approaches to graphically representing context-specific relations among jointly distributed categorical variables have been proposed, along with structure learning algorithms. While existing optimization-based methods have limited…

Machine Learning · Statistics 2024-10-17 Felix Leopoldo Rios , Alex Markham , Liam Solus

Graphs are widely used to model complicated data semantics in many application domains. In this paper, two novel and efficient algorithms Fast-ON and Fast-P are proposed for solving the subgraph isomorphism problem. The two algorithms are…

Data Structures and Algorithms · Computer Science 2019-04-19 Mosab Hassaan , Karam Gouda

We consider the problem of learning from a similarity matrix (such as spectral clustering and lowd imensional embedding), when computing pairwise similarities are costly, and only a limited number of entries can be observed. We provide a…

Machine Learning · Statistics 2014-06-11 Ethan Fetaya , Ohad Shamir , Shimon Ullman

The area of graph embeddings is currently dominated by contrastive learning methods, which demand formulation of an explicit objective function and sampling of positive and negative examples. This creates a conceptual and computational…

Machine Learning · Computer Science 2021-02-05 Barbara Rychalska , Piotr Bąbel , Konrad Gołuchowski , Andrzej Michałowski , Jacek Dąbrowski

We propose a novel distributed algorithm to cluster graphs. The algorithm recovers the solution obtained from spectral clustering without the need for expensive eigenvalue/vector computations. We prove that, by propagating waves through the…

Discrete Mathematics · Computer Science 2015-03-13 Tuhin Sahai , Alberto Speranzon , Andrzej Banaszuk

Graph-based clustering plays an important role in the clustering area. Recent studies about graph convolution neural networks have achieved impressive success on graph type data. However, in general clustering tasks, the graph structure of…

Machine Learning · Computer Science 2024-04-23 Xuelong Li , Hongyuan Zhang , Rui Zhang

Collecting statistic from graph-based data is an increasingly studied topic in the data mining community. We argue that these statistics have great value as well in dynamic IoT contexts: they can support complex computational activities…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-07 Giorgio Audrito , Ferruccio Damiani , Mirko Viroli

Spectral sparsification is a technique that is used to reduce the number of non-zero entries in a positive semidefinite matrix with little changes to its spectrum. In particular, the main application of spectral sparsification is to…

Data Structures and Algorithms · Computer Science 2021-04-13 Fabricio Mendoza-Granada , Marcos Villagra

This study poses the feature correspondence problem as a hypergraph node labeling problem. Candidate feature matches and their subsets (usually of size larger than two) are considered to be the nodes and hyperedges of a hypergraph. A…

Computer Vision and Pattern Recognition · Computer Science 2011-07-14 Toufiq Parag , Vladimir Pavlovic , Ahmed Elgammal

We study the classical weighted perfect matchings problem for bipartite graphs or sometimes referred to as the assignment problem, i.e., given a weighted bipartite graph $G = (U\cup V,E)$ with weights $w : E \rightarrow \mathcal{R}$ we are…

Data Structures and Algorithms · Computer Science 2021-01-19 Megha Khosla , Avishek Anand

The general method of graph coarsening or graph reduction has been a remarkably useful and ubiquitous tool in scientific computing and it is now just starting to have a similar impact in machine learning. The goal of this paper is to take a…

Machine Learning · Computer Science 2021-06-23 Jie Chen , Yousef Saad , Zechen Zhang

For graph classification tasks, many traditional kernel methods focus on measuring the similarity between graphs. These methods have achieved great success on resolving graph isomorphism problems. However, in some classification problems,…

Machine Learning · Computer Science 2021-02-18 Jianming Huang , Hiroyuki Kasai

A clustering algorithm partitions a set of data points into smaller sets (clusters) such that each subset is more tightly packed than the whole. Many approaches to clustering translate the vector data into a graph with edges reflecting a…

Geometric Topology · Mathematics 2012-06-06 Jesse Johnson

Two approaches for graph based semi-supervised learning are proposed. The firstapproach is based on iteration of an affine map. A key element of the affine map iteration is sparsematrix-vector multiplication, which has several very…

Machine Learning · Computer Science 2015-09-07 Konstantin Avrachenkov , Vivek Borkar , Krishnakant Saboo

Training modern neural networks on large datasets is computationally and environmentally costly. We introduce GRAFT, a scalable in-training subset selection method that (i) extracts a low-rank feature representation for each batch, (ii)…

Machine Learning · Computer Science 2025-08-25 Ashish Jha , Anh huy Phan , Razan Dibo , Valentin Leplat