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Multilayer (or deep) networks are powerful probabilistic models based on multiple stages of a linear transform followed by a non-linear (possibly random) function. In general, the linear transforms are defined by matrices and the non-linear…

Information Theory · Computer Science 2017-10-13 Galen Reeves

Inferring topological characteristics of complex networks from observed data is critical to understand the dynamical behavior of networked systems, ranging from the Internet and the World Wide Web to biological networks and social networks.…

Multiagent Systems · Computer Science 2020-05-13 Chunheng Jiang , Jianxi Gao , Malik Magdon-Ismail

Artificial Neural Networks form the basis of very powerful learning methods. It has been observed that a naive application of fully connected neural networks to data with many irrelevant variables often leads to overfitting. In an attempt…

Machine Learning · Computer Science 2020-02-12 Gitesh Dawer , Yangzi Guo , Sida Liu , Adrian Barbu

The behavior of ecological systems mainly relies on the interactions between the species it involves. We consider the problem of inferring the species interaction network from abundance data. To be relevant, any network inference…

Applications · Statistics 2019-10-29 Raphaëlle Momal , Stéphane Robin , Christophe Ambroise

Evaluation of generative models is mostly based on the comparison between the estimated distribution and the ground truth distribution in a certain feature space. To embed samples into informative features, previous works often use…

Machine Learning · Computer Science 2022-12-15 Junghyuk Lee , Jun-Hyuk Kim , Jong-Seok Lee

Estimating total treatment effects in the presence of network interference typically requires knowledge of the underlying interaction structure. However, in many practical settings, network data is either unavailable, incomplete, or…

Methodology · Statistics 2026-02-05 Albert Tan , Sadegh Shirani , James Nordlund , Mohsen Bayati

Social networks contain implicit knowledge that can be used to infer hierarchical relations that are not explicitly present in the available data. Interaction patterns are typically affected by users' social relations. We present an…

Social and Information Networks · Computer Science 2017-01-25 Hend Kareem , Lars Asker , Panagiotis Papapetrou

Networks are representations of complex underlying social processes. However, the same given network may be more suitable to model one behavior of individuals than another. In many cases, aggregate population models may be more effective…

Social and Information Networks · Computer Science 2017-08-22 Ivan Brugere , Chris Kanich , Tanya Y. Berger-Wolf

The generalization properties of an attractive network of non monotonic neurons which infers concepts from samples are studied. The macroscopic dynamics for the overlap between the state of the neurons with the concepts, well as the…

Statistical Mechanics · Physics 2009-10-31 D. R. C. Dominguez

Graphical models are widely used to study complex multivariate biological systems. Network inference algorithms aim to reverse-engineer such models from noisy experimental data. It is common to assess such algorithms using techniques from…

Methodology · Statistics 2014-03-03 Chris J. Oates , Richard Amos , Simon E. F. Spencer

One challenge of physics is to explain how collective properties arise from microscopic interactions. Indeed, interactions form the building blocks of almost all physical theories and are described by polynomial terms in the action. The…

Disordered Systems and Neural Networks · Physics 2023-05-03 Claudia Merger , Alexandre René , Kirsten Fischer , Peter Bouss , Sandra Nestler , David Dahmen , Carsten Honerkamp , Moritz Helias

Networks effectively capture interactions among components of complex systems, and have thus become a mainstay in many scientific disciplines. Growing evidence, especially from biology, suggest that networks undergo changes over time, and…

Methodology · Statistics 2020-03-10 Ali Shojaie

Most empirical studies of networks assume that the network data we are given represent a complete and accurate picture of the nodes and edges in the system of interest, but in real-world situations this is rarely the case. More often the…

Social and Information Networks · Computer Science 2019-01-02 M. E. J. Newman

Multivariate time series have many applications, from healthcare and meteorology to life science. Although deep learning models have shown excellent predictive performance for time series, they have been criticised for being "black-boxes"…

Machine Learning · Computer Science 2024-05-06 Qiqi Su , Christos Kloukinas , Artur d'Avila Garcez

In this paper we study how the network of agents adopting a particular technology relates to the structure of the underlying network over which the technology adoption spreads. We develop a model and show that the network of agents adopting…

Social and Information Networks · Computer Science 2013-04-09 Grant Schoenebeck

Dynamic multilayer networks are frequently used to describe the structure and temporal evolution of multiple relationships among common entities, with applications in fields such as sociology, economics, and neuroscience. However,…

Methodology · Statistics 2026-04-06 Runshi Tang , Runbing Zheng , Anru R. Zhang , Carey E. Priebe

We give an approximate solution to the difficult inverse problem of inferring the topology of an unknown network from given time-dependent signals at the nodes. For example, we measure signals from individual neurons in the brain, and infer…

Biological Physics · Physics 2021-01-27 Corey Weistuch , Luca Agozzino , Lilianne R. Mujica-Parodi , Ken A. Dill

A major challenge for causal inference from time-series data is the trade-off between computational feasibility and accuracy. Motivated by process motifs for lagged covariance in an autoregressive model with slow mean-reversion, we propose…

Machine Learning · Statistics 2025-09-30 Alice C. Schwarze , Sara M. Ichinaga , Bingni W. Brunton

Consider observing an undirected network that is `noisy' in the sense that there are Type I and Type II errors in the observation of edges. Such errors can arise, for example, in the context of inferring gene regulatory networks in genomics…

Machine Learning · Statistics 2014-01-03 Prakash Balachandran , Edoardo Airoldi , Eric Kolaczyk

Information on social media spreads through an underlying diffusion network that connects people of common interests and opinions. This diffusion network often comprises multiple layers, each capturing the spreading dynamics of a certain…

Social and Information Networks · Computer Science 2024-10-08 Yan Xia , Ted Hsuan Yun Chen , Mikko Kivelä
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