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Network reconstruction is fundamental to understanding the dynamical behaviors of the networked systems. Many systems, modeled by multiplex networks with various types of interactions, display an entirely different dynamical behavior…

Physics and Society · Physics 2020-01-28 Mincheng Wu , Jiming Chen , Shibo He , Youxian Sun , Shlomo Havlin , Jianxi Gao

This article serves as an introduction to the study of networks of social systems. First, we introduce the reader to key mathematical tools to study social networks, including mathematical representations of networks and essential…

Physics and Society · Physics 2023-02-03 Heather Z. Brooks

Unrooted phylogenetic networks are graphs used to represent evolutionary relationships. Accurately reconstructing such networks is of great relevance for evolutionary biology. It has recently been conjectured that all phylogenetic networks…

Combinatorics · Mathematics 2021-01-01 Péter L. Erdős , Leo van Iersel , Mark Jones

The Web has been chosen as a basic infrastructure to gain the social structure information, through the social network extraction, from all over the world. However, most of the web documents are unstructured and lack of semantics. Moreover,…

Social and Information Networks · Computer Science 2012-11-27 Mahyuddin K. M. Nasution , Shahrul Azman Noah

As belief networks are used to model increasingly complex situations, the need to automatically construct them from large databases will become paramount. This paper concentrates on solving a part of the belief network induction problem:…

Artificial Intelligence · Computer Science 2013-03-08 Ron Musick

We investigate whether it is possible to learn rule sets efficiently in a network structure with a single hidden layer using iterative refinements over mini-batches of examples. A first rudimentary version shows an acceptable performance on…

Machine Learning · Computer Science 2021-06-21 Florian Beck , Johannes Fürnkranz

An important problem of reconstruction of diffusion network and transmission probabilities from the data has attracted a considerable attention in the past several years. A number of recent papers introduced efficient algorithms for the…

Physics and Society · Physics 2015-09-24 Andrey Y. Lokhov , Theodor Misiakiewicz

Galled trees are widely studied as a recombination model in population genetics. This class of phylogenetic networks is generalized into galled networks by relaxing a structural condition. In this work, a linear recurrence formula is given…

Populations and Evolution · Quantitative Biology 2018-12-21 Andreas DM Gunawan , Jeyaram Rathin , Louxin Zhang

With the growing interest on Network Analysis, Relational Data Mining is becoming an emphasized domain of Data Mining. This paper addresses the problem of extracting representative elements from a relational dataset. After defining the…

Artificial Intelligence · Computer Science 2012-07-05 Frédéric Blanchard , Michel Herbin

In standard clustering problems, data points are represented by vectors, and by stacking them together, one forms a data matrix with row or column cluster structure. In this paper, we consider a class of binary matrices, arising in many…

Machine Learning · Statistics 2014-02-06 Jiaming Xu , Rui Wu , Kai Zhu , Bruce Hajek , R. Srikant , Lei Ying

This paper proposes a way of protecting probabilistic prediction models against changes in the data distribution, concentrating on the case of classification and paying particular attention to binary classification. This is important in…

Machine Learning · Computer Science 2021-10-26 Vladimir Vovk , Ivan Petej , Alex Gammerman

To comprehend the multipartite organization of large-scale biological and social systems, we introduce a new information theoretic approach that reveals community structure in weighted and directed networks. The method decomposes a network…

Physics and Society · Physics 2008-02-13 M. Rosvall , C. T. Bergstrom

This text investigates relations between two well-known family of algorithms, matrix factorisations and recursive linear filters, by describing a probabilistic model in which approximate inference corresponds to a matrix factorisation…

Machine Learning · Statistics 2015-09-08 Ömer Deniz Akyıldız

In this paper, we present the outer product decomposition of a product of compatible linked networks. It provides a foundation for the fractional approach in network analysis. We discuss the standard and Newman's normalization of networks.…

Social and Information Networks · Computer Science 2023-07-18 Vladimir Batagelj

In this article the problem of reconstructing the pattern of connection between agents from partial empirical data in a macro-economic model is addressed, given a set of behavioral equations. This systemic point of view puts the focus on…

General Economics · Economics 2019-01-30 Aurélien Hazan

The security provided by a firewall for a computer network almost completely depends on the rules it enforces. For over a decade, it has been a well-known and unsolved problem that the quality of many firewall rule sets is insufficient.…

Cryptography and Security · Computer Science 2016-04-06 Cornelius Diekmann , Lars Hupel , Georg Carle

On the basis of the general form for the energy needed to adapt the connection strengths of a network in which learning takes place, a local learning rule is found for the changes of the weights. This biologically realizable learning rule…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Heerema , W. A. van Leeuwen

Neural network pruning is a widely used strategy for reducing model storage and computing requirements. It allows to lower the complexity of the network by introducing sparsity in the weights. Because taking advantage of sparse matrices is…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Nathan Hubens , Matei Mancas , Bernard Gosselin , Marius Preda , Titus Zaharia

Phylogenetic networks generalise phylogenetic trees and allow for the accurate representation of the evolutionary history of a set of present-day species whose past includes reticulate events such as hybridisation and lateral gene transfer.…

Populations and Evolution · Quantitative Biology 2018-09-05 Joan Carles Pons , Charles Semple , Mike Steel

In today's data driven world, storing, processing, and gleaning insights from large-scale data are major challenges. Data compression is often required in order to store large amounts of high-dimensional data, and thus, efficient inference…

Machine Learning · Statistics 2018-09-11 Denali Molitor , Deanna Needell
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