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In the well-known Minimum Linear Arrangement problem (MinLA), the goal is to arrange the nodes of an undirected graph into a permutation so that the total stretch of the edges is minimized. This paper studies an online (learning) variant of…

Data Structures and Algorithms · Computer Science 2024-05-28 Julien Dallot , Maciej Pacut , Marcin Bienkowski , Darya Melnyk , Stefan Schmid

Finding maximum cliques in large networks is a challenging combinatorial problem with many real-world applications. We present a fast algorithm to achieve the exact solution for the maximum clique problem in large sparse networks based on…

Social and Information Networks · Computer Science 2024-04-22 Tianlong Fan , Wenjun Jiang , Yi-Cheng Zhang , Linyuan Lü

Approximate solutions to various NP-hard combinatorial optimization problems have been found by learned heuristics using complex learning models. In particular, vertex (node) classification in graphs has been a helpful method towards…

Social and Information Networks · Computer Science 2022-11-01 Ali Baran Taşdemir , Tuna Karacan , Emir Kaan Kırmacı , Lale Özkahya

The maximum clique (MC) problem is a challenging graph mining problem which, due to its NP-hard nature, can take a substantial amount of execution time. The MC problem is dominated by set intersection operations similar to Maximal Clique…

Data Structures and Algorithms · Computer Science 2025-09-29 Hans Vandierendonck

We consider the problem of learning the structure of undirected graphical models with bounded treewidth, within the maximum likelihood framework. This is an NP-hard problem and most approaches consider local search techniques. In this…

Machine Learning · Computer Science 2012-12-12 K. S. Sesh Kumar , Francis Bach

We present an unsupervised representation learning approach using videos without semantic labels. We leverage the temporal coherence as a supervisory signal by formulating representation learning as a sequence sorting task. We take…

Computer Vision and Pattern Recognition · Computer Science 2017-08-04 Hsin-Ying Lee , Jia-Bin Huang , Maneesh Singh , Ming-Hsuan Yang

This paper proposes a new algorithm for solving maximal cliques for simple undirected graphs using the theory of prime numbers. A novel approach using prime numbers is used to find cliques and ends with a discussion of the algorithm.

Data Structures and Algorithms · Computer Science 2007-05-23 Dhananjay D. Kulkarni , Shekhar Verma , Prashant

The maximum labelled clique problem is a variant of the maximum clique problem where edges in the graph are given labels, and we are not allowed to use more than a certain number of distinct labels in a solution. We introduce a new…

Data Structures and Algorithms · Computer Science 2014-11-18 Ciaran McCreesh , Patrick Prosser

There are many methods to find a maximum (or maximal) clique in large networks. Due to the nature of combinatorics, computation becomes exponentially expensive as the number of vertices in a graph increases. Thus, there is a need for…

Social and Information Networks · Computer Science 2022-07-27 S. Y. Chan , K. Morgan , J. Ugon

Recent work has proven that training large language models with self-supervised tasks and fine-tuning these models to complete new tasks in a transfer learning setting is a powerful idea, enabling the creation of models with many…

Machine Learning · Computer Science 2024-11-25 Matthew Spellings , Maya Martirossyan , Julia Dshemuchadse

A clique transversal in a graph is a set of vertices intersecting all maximal cliques. The problem of determining the minimum size of a clique transversal has received considerable attention in the literature. In this paper, we initiate the…

Combinatorics · Mathematics 2024-08-14 Martin Milanič , Yushi Uno

We propose a fast, parallel maximum clique algorithm for large sparse graphs that is designed to exploit characteristics of social and information networks. The method exhibits a roughly linear runtime scaling over real-world networks…

Social and Information Networks · Computer Science 2013-12-30 Ryan A. Rossi , David F. Gleich , Assefaw H. Gebremedhin , Md. Mostofa Ali Patwary

One approach for reducing run time and improving efficiency of machine learning is to reduce the convergence rate of the optimization algorithm used. Shuffling is an algorithm technique that is widely used in machine learning, but it only…

Machine Learning · Computer Science 2023-06-29 Yuetong Xu , Baharan Mirzasoleiman

In this paper, we focus on the unsupervised multi-view feature selection which tries to handle high dimensional data in the field of multi-view learning. Although some graph-based methods have achieved satisfactory performance, they ignore…

Machine Learning · Computer Science 2021-04-13 Qi Wang , Xu Jiang , Mulin Chen , Xuelong Li

Unsupervised learning of visual similarities is of paramount importance to computer vision, particularly due to lacking training data for fine-grained similarities. Deep learning of similarities is often based on relationships between pairs…

Computer Vision and Pattern Recognition · Computer Science 2017-04-12 Miguel A Bautista , Artsiom Sanakoyeu , Björn Ommer

A main challenge in mining network-based data is finding effective ways to represent or encode graph structures so that it can be efficiently exploited by machine learning algorithms. Several methods have focused in network representation…

Social and Information Networks · Computer Science 2019-03-18 Leonardo Gutiérrez-Gómez , Jean-Charles Delvenne

The goal of unsupervised representation learning is to extract a new representation of data, such that solving many different tasks becomes easier. Existing methods typically focus on vectorized data and offer little support for relational…

Machine Learning · Statistics 2017-09-29 Sebastijan Dumancic , Hendrik Blockeel

Clique is one of the most fundamental models for cohesive subgraph mining in network analysis. Existing clique model mainly focuses on unsigned networks. However, in real world, many applications are modeled as signed networks with positive…

Data Structures and Algorithms · Computer Science 2022-04-04 Zi Chen , Long Yuan , Xuemin Lin , Lu Qin , Wenjie Zhang

A problem that arises in drawings of transportation networks is to minimize the number of crossings between different transportation lines. While this can be done efficiently under specific constraints, not all solutions are visually…

Data Structures and Algorithms · Computer Science 2013-06-25 Martin Fink , Sergey Pupyrev

A clique in a graph is a set of vertices, each of which is adjacent to every other vertex in this set. A k-clique relaxes this requirement, requiring vertices to be within a distance k of each other, rather than directly adjacent. In…

Data Structures and Algorithms · Computer Science 2014-08-28 Ciaran McCreesh , Patrick Prosser