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Computing meaningful clusters of nodes is crucial to analyze large networks. In this paper, we present a pairwise node similarity measure that allows to extract roles, i.e. group of nodes sharing similar flow patterns within a network. We…

Social and Information Networks · Computer Science 2014-07-25 Arnaud Browet , Paul Van Dooren

The nodes in a network can be grouped into 'roles' based on similar connection patterns. This is usually achieved by defining a pairwise node similarity matrix and then clustering rows and columns of this matrix. This paper presents a new…

Numerical Analysis · Mathematics 2025-02-19 Dario Fasino

In this paper we analyze an indirect approach, called the Neighborhood Pattern Similarity approach, to solve the so-called role extraction problem of a large-scale graph. The method is based on the preliminary construction of a node…

Social and Information Networks · Computer Science 2020-09-28 Melissa Marchand , Kyle A. Gallivan , Wen Huang , Paul Van Dooren

The widespread relevance of increasingly complex networks requires methods to extract meaningful coarse-grained representations of such systems. For undirected graphs, standard community detection methods use criteria largely based on…

Physics and Society · Physics 2010-12-14 Kathryn Cooper , Mauricio Barahona

The widespread relevance of complex networks is a valuable tool in the analysis of a broad range of systems. There is a demand for tools which enable the extraction of meaningful information and allow the comparison between different…

Physics and Society · Physics 2011-03-30 Kathryn Cooper , Mauricio Barahona

A considerable amount of clustering algorithms take instance-feature matrices as their inputs. As such, they cannot directly analyze time series data due to its temporal nature, usually unequal lengths, and complex properties. This is a…

Artificial Intelligence · Computer Science 2019-06-04 Qi Lei , Jinfeng Yi , Roman Vaculin , Lingfei Wu , Inderjit S. Dhillon

Community detection, which focuses on clustering nodes or detecting communities in (mostly) a single network, is a problem of considerable practical interest and has received a great deal of attention in the research community. While being…

Machine Learning · Statistics 2017-11-07 Soumendu Sundar Mukherjee , Purnamrita Sarkar , Lizhen Lin

We introduce the Neural Collaborative Subspace Clustering, a neural model that discovers clusters of data points drawn from a union of low-dimensional subspaces. In contrast to previous attempts, our model runs without the aid of spectral…

Computer Vision and Pattern Recognition · Computer Science 2019-04-25 Tong Zhang , Pan Ji , Mehrtash Harandi , Wenbing Huang , Hongdong Li

We propose efficient algorithms for two key tasks in the analysis of large nonuniform networks: uniform node sampling and cluster detection. Our sampling technique is based on augmenting a simple, but slowly mixing uniform MCMC sampler with…

Disordered Systems and Neural Networks · Physics 2007-05-23 Pekka Orponen , Satu Elisa Schaeffer

In this work we are interested in identifying clusters of "positional equivalent" actors, i.e. actors who play a similar role in a system. In particular, we analyze weighted bipartite networks that describes the relationships between actors…

Data Analysis, Statistics and Probability · Physics 2015-06-19 Alessandro Chessa , Irene Crimaldi , Massimo Riccaboni , Luca Trapin

In this paper, we consider sparse networks consisting of a finite number of non-overlapping communities, i.e. disjoint clusters, so that there is higher density within clusters than across clusters. Both the intra- and inter-cluster edge…

Social and Information Networks · Computer Science 2014-11-06 Se-Young Yun , Marc Lelarge , Alexandre Proutiere

The use of complex networks as a modern approach to understanding the world and its dynamics is well-established in literature. The adjacency matrix, which provides a one-to-one representation of a complex network, can also yield several…

Social and Information Networks · Computer Science 2023-01-23 Mariane B. Neiva , Odemir M. Bruno

A suitable similarity index for comparing learnt neural networks plays an important role in understanding the behaviour of the highly-nonlinear functions, and can provide insights on further theoretical analysis and empirical studies. We…

Machine Learning · Computer Science 2020-03-26 Shuai Tang , Wesley J. Maddox , Charlie Dickens , Tom Diethe , Andreas Damianou

A novel approach rooted on the notion of consensus clustering, a strategy developed for community detection in complex networks, is proposed to cope with the heterogeneity that characterizes connectivity matrices in health and disease. The…

Neurons and Cognition · Quantitative Biology 2017-05-09 Javier Rasero , Mario Pellicoro , Leonardo Angelini , Jesus M. Cortes , Daniele Marinazzo , Sebastiano Stramaglia

We investigate task clustering for deep-learning based multi-task and few-shot learning in a many-task setting. We propose a new method to measure task similarities with cross-task transfer performance matrix for the deep learning scenario.…

Machine Learning · Computer Science 2018-05-21 Mo Yu , Xiaoxiao Guo , Jinfeng Yi , Shiyu Chang , Saloni Potdar , Gerald Tesauro , Haoyu Wang , Bowen Zhou

Clustering is an underspecified task: there are no universal criteria for what makes a good clustering. This is especially true for relational data, where similarity can be based on the features of individuals, the relationships between…

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

Similar to community detection, partitioning the nodes of a network according to their structural roles aims to identify fundamental building blocks of a network. The found partitions can be used, e.g., to simplify descriptions of the…

Social and Information Networks · Computer Science 2023-05-31 Michael Scholkemper , Michael T. Schaub

A network has a non-overlapping community structure if the nodes of the network can be partitioned into disjoint sets such that each node in a set is densely connected to other nodes inside the set and sparsely connected to the nodes out-…

Social and Information Networks · Computer Science 2016-07-19 Talasila Sai Deepak , Hindol Adhya , Shyamal Kejriwal , Bhanuteja Gullapalli , Saswata Shannigrahi

Association rules are useful to discover relationships, which are mostly hidden, between the different items in large datasets. Symbolic models are the principal tools to extract association rules. This basic technique is time-consuming,…

Databases · Computer Science 2021-07-20 Shadi Al Shehabi , Abdullatif Baba

We describe a probabilistic (generative) view of affinity matrices along with inference algorithms for a subclass of problems associated with data clustering. This probabilistic view is helpful in understanding different models and…

Machine Learning · Computer Science 2012-12-12 Romer Rosales , Brendan J. Frey
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