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Interpreting neural networks is a crucial and challenging task in machine learning. In this paper, we develop a novel framework for detecting statistical interactions captured by a feedforward multilayer neural network by directly…

Machine Learning · Statistics 2018-02-28 Michael Tsang , Dehua Cheng , Yan Liu

Many complicated network problems can be easily understood on small networks. Difficulties arise when small networks are combined into larger ones. Fortunately, the mathematical theory of sheaves was constructed to address just this kind of…

Algebraic Topology · Mathematics 2013-08-22 Michael Robinson

Complex systems are often characterized by distinct types of interactions between the same entities. These can be described as a multilayer network where each layer represents one type of interaction. These layers may be interdependent in…

Social and Information Networks · Computer Science 2018-08-21 Caterina De Bacco , Eleanor A. Power , Daniel B. Larremore , Cristopher Moore

Previous work has shown that species interacting in an ecosystem and actors transacting in an economic context may have notable similarities in behavior. However, the specific mechanism that may underlie similarities in nature and human…

Physics and Society · Physics 2011-10-04 Serguei Saavedra , Felix Reed-Tsochas , Brian Uzzi

Collecting network data directly from network members can be challenging. One alternative involves inferring a network from observed groups, for example, inferring a network of scientific collaboration from researchers' observed paper…

Social and Information Networks · Computer Science 2024-05-09 Zachary P. Neal

Dynamical behaviors of complex interacting systems, including brain activities, financial price movements, and physical collective phenomena, are associated with underlying interactions between the system's components. The issue of…

Machine Learning · Computer Science 2025-12-03 Shuhan Zheng , Ziqiang Li , Kantaro Fujiwara , Gouhei Tanaka

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Bayesian networks are a class of graphical models that allow to represent a collection of random variables and their condititional…

Artificial Intelligence · Computer Science 2019-01-08 Robert Leppert , Karl-Heinz Zimmermann

Ecological networks allow us to study the structure and function of ecosystems and gain insights on species resilience/stability. The study of this ecological networks is usually a snapshop focused in a limited specific range of space and…

Populations and Evolution · Quantitative Biology 2014-07-17 Andrzej Jarynowski , Fco. Alejandro Lopez-Nunez , Han Fan

Our work is motivated by and illustrated with application of association networks in computational biology, specifically in the context of gene/protein regulatory networks. Association networks represent systems of interacting elements,…

Applications · Statistics 2012-05-01 Natallia Katenka , Eric D. Kolaczyk

Network models are widely used to represent relational information among interacting units and the structural implications of these relations. Recently, social network studies have focused a great deal of attention on random graph models of…

Applications · Statistics 2010-10-06 Mark S. Handcock , Krista J. Gile

We investigate how the properties of epidemic networks change depending on the availability of different types of data on a disease outbreak. This is achieved by introducing mathematical and computational methods that estimate the…

Computational Physics · Physics 2025-09-03 Oscar Fajardo-Fontiveros , Carl J. E. Suster , Eduardo G. Altmann

Interacting systems are prevalent in nature, from dynamical systems in physics to complex societal dynamics. The interplay of components can give rise to complex behavior, which can often be explained using a simple model of the system's…

Machine Learning · Statistics 2018-06-07 Thomas Kipf , Ethan Fetaya , Kuan-Chieh Wang , Max Welling , Richard Zemel

The study of complex systems in nature is essential to understand the interactions between different elements and how they influence one another. Complex network theory is a powerful tool that helps us to analyze these interactions and gain…

Social and Information Networks · Computer Science 2024-10-28 Aurelienne A. S. Jorge , Douglas Uba , Alex A. Fernandes , Izabelly C. Costa , Leonardo B. L. Santos

We propose a new nonparametric modeling framework for causal inference when outcomes depend on how agents are linked in a social or economic network. Such network interference describes a large literature on treatment spillovers, social…

Econometrics · Economics 2025-03-25 Eric Auerbach , Hongchang Guo , Max Tabord-Meehan

We present a novel method for identifying a biochemical reaction network based on multiple sets of estimated reaction rates in the corresponding reaction rate equations arriving from various (possibly different) experiments. The current…

Applications · Statistics 2008-10-06 Gheorghe Craciun , Casian Pantea , Grzegorz A. Rempala

Network regression models, where the outcome comprises the valued edge in a network and the predictors are actor or dyad-level covariates, are used extensively in the social and biological sciences. Valid inference relies on accurately…

Methodology · Statistics 2021-06-09 Mengjie Pan , Tyler H. McCormick , Bailey K. Fosdick

Understanding the process by which a contagion disseminates throughout a network is of great importance in many real world applications. The required sophistication of the inference approach depends on the type of information we want to…

Social and Information Networks · Computer Science 2017-05-26 Shohreh Shaghaghian , Mark Coates

Inference of gene regulatory networks has been an active area of research for around 20 years, leading to the development of sophisticated inference algorithms based on a variety of assumptions and approaches. With the always increasing…

Molecular Networks · Quantitative Biology 2022-11-03 Malvina Marku , Vera Pancaldi

As impacts of introduced species cascade through trophic levels, they can cause indirect and counter-intuitive effects. To investigate the impact of invasive species at the network scale, we use a generalized food web model, capable of…

Populations and Evolution · Quantitative Biology 2019-07-23 Anna Doizy , Edmund Barter , Jane Memmott , Karen Varnham , Thilo Gross

We define the concept of dependence among multiple variables using maximum entropy techniques and introduce a graphical notation to denote the dependencies. Direct inference of information theoretic quantities from data uncovers…

Quantitative Methods · Quantitative Biology 2007-07-13 Ilya Nemenman