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Mixing (or prior) density estimation is an important problem in machine learning and statistics, especially in empirical Bayes $g$-modeling where accurately estimating the prior is necessary for making good posterior inferences. In this…

Machine Learning · Statistics 2024-06-11 Shijie Wang , Saptarshi Chakraborty , Qian Qin , Ray Bai

Multilayer graph has garnered plenty of research attention in many areas due to their high utility in modeling interdependent systems. However, clustering of multilayer graph, which aims at dividing the graph nodes into categories or…

Social and Information Networks · Computer Science 2021-12-30 Liang Liu , Zhao Kang , Ling Tian , Wenbo Xu , Xixu He

Multilayer networks or MLNs (also called multiplexes or network of networks) are being used extensively for modeling and analysis of data sets with multiple entity and feature types as well as their relationships. As the concept of…

Social and Information Networks · Computer Science 2019-03-11 Abhishek Santra , Kanthi Sannappa Komar , Sanjukta Bhowmick , Sharma Chakravarthy

Multiple scales coexist in complex networks. However, the small world property makes them strongly entangled. This turns the elucidation of length scales and symmetries a defiant challenge. Here, we define a geometric renormalization group…

Disordered Systems and Neural Networks · Physics 2018-07-04 Guillermo García-Pérez , Marián Boguñá , M. Ángeles Serrano

There is growing interest in multiplex networks where individual nodes take part in several layers of networks simultaneously. This is the case for example in social networks where each individual node has different kind of social ties or…

Disordered Systems and Neural Networks · Physics 2015-06-15 Ginestra Bianconi

SchNetPack is a toolbox for the development and application of deep neural networks to the prediction of potential energy surfaces and other quantum-chemical properties of molecules and materials. It contains basic building blocks of…

Computational Physics · Physics 2018-12-13 K. T. Schütt , P. Kessel , M. Gastegger , K. Nicoli , A. Tkatchenko , K. -R. Müller

Network data appears in very diverse applications, like biological, social, or sensor networks. Clustering of network nodes into categories or communities has thus become a very common task in machine learning and data mining. Network data…

Machine Learning · Computer Science 2020-01-24 Mireille El Gheche , Giovanni Chierchia , Pascal Frossard

We introduce an R package for fitting Stable Isotope Mixing Models (SIMMs) via both Markov chain Monte Carlo and Variational Bayes. The package is mainly used for estimating dietary contributions from food sources taken via measurements of…

Applications · Statistics 2023-06-14 Emma Govan , Andrew L. Jackson , Richard Inger , Stuart Bearhop , Andrew C. Parnell

Computing layer similarities is an important way of characterizing multiplex networks because various static properties and dynamic processes depend on the relationships between layers. We provide a taxonomy and experimental evaluation of…

Social and Information Networks · Computer Science 2018-08-13 Piotr Bródka , Anna Chmiel , Matteo Magnani , Giancarlo Ragozini

Although Recurrent Neural Network (RNN) has been a powerful tool for modeling sequential data, its performance is inadequate when processing sequences with multiple patterns. In this paper, we address this challenge by introducing a novel…

Machine Learning · Computer Science 2019-02-28 Kui Zhao , Yuechuan Li , Chi Zhang , Cheng Yang , Huan Xu

The R package BiDAG implements Markov chain Monte Carlo (MCMC) methods for structure learning and sampling of Bayesian networks. The package includes tools to search for a maximum a posteriori (MAP) graph and to sample graphs from the…

Computation · Statistics 2021-05-04 Polina Suter , Jack Kuipers , Giusi Moffa , Niko Beerenwinkel

Recently, graph neural networks have shown the superiority of modeling the complex topological structures in heterogeneous network-based recommender systems. Due to the diverse interactions among nodes and abundant semantics emerging from…

Machine Learning · Computer Science 2022-08-04 Tiankai Gu , Chaokun Wang , Cheng Wu , Jingcao Xu , Yunkai Lou , Changping Wang , Kai Xu , Can Ye , Yang Song

Complex systems are usually illustrated by networks which captures the topology of the interactions between the entities. To better understand the roles played by the entities in the system one needs to uncover the underlying community…

Social and Information Networks · Computer Science 2016-05-23 Han Zhang , Chang-Dong Wang , Jian-Huang Lai , Philip S. Yu

Online users are typically active on multiple social media networks (SMNs), which constitute a multiplex social network. It is becoming increasingly challenging to determine whether given accounts on different SMNs belong to the same user;…

Physics and Society · Physics 2021-11-10 Rui Tang , Zhenxiong Miao , Shuyu Jiang , Xingshu Chen , Haizhou Wang , Wei Wang

Efficiently solving unbalanced three-phase power flow in distribution grids is pivotal for grid analysis and simulation. There is a pressing need for scalable algorithms capable of handling large-scale unbalanced power grids that can…

Systems and Control · Electrical Eng. & Systems 2024-09-09 Salah Ghamizi , Jun Cao , Aoxiang Ma , Pedro Rodriguez

In many applications concerning statistical graphical models the data originate from several subpopulations that share similarities but have also significant differences. This raises the question of how to estimate several graphical models…

Methodology · Statistics 2022-06-17 Ilias Moysidis , Bing Li

This paper presents a novel application of graph neural networks for modeling and estimating network heterogeneity. Network heterogeneity is characterized by variations in unit's decisions or outcomes that depend not only on its own…

Econometrics · Economics 2024-01-30 Yike Wang , Chris Gu , Taisuke Otsu

Matrix completion models are among the most common formulations of recommender systems. Recent works have showed a boost of performance of these techniques when introducing the pairwise relationships between users/items in the form of…

Machine Learning · Computer Science 2017-04-25 Federico Monti , Michael M. Bronstein , Xavier Bresson

Traditionally, graph neural networks have been trained using a single observed graph. However, the observed graph represents only one possible realization. In many applications, the graph may encounter uncertainties, such as having…

Machine Learning · Computer Science 2024-10-10 See Hian Lee , Feng Ji , Kelin Xia , Wee Peng Tay

bnlearn is an R package which includes several algorithms for learning the structure of Bayesian networks with either discrete or continuous variables. Both constraint-based and score-based algorithms are implemented, and can use the…

Machine Learning · Statistics 2010-07-13 Marco Scutari