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The problem of determining dynamical models and trajectories that describe observed time-series data allowing for the understanding, prediction and possibly control of complex systems in nature is of a great interest in a wide variety of…

Data Analysis, Statistics and Probability · Physics 2007-05-23 V. N. Smelyanskiy , D. G. Luchinsky , M. Millons

Networks provide a skeleton for the spread of contagions, like, information, ideas, behaviors and diseases. Many times networks over which contagions diffuse are unobserved and need to be inferred. Here we apply survival theory to develop…

Social and Information Networks · Computer Science 2013-05-17 Manuel Gomez Rodriguez , Jure Leskovec , Bernhard Schoelkopf

Structural changes in a network representation of a system (e.g.,different experimental conditions, time evolution), can provide insight on its organization, function and on how it responds to external perturbations. The deeper…

Data Analysis, Statistics and Probability · Physics 2021-01-04 Leonardo L. Portes , Michael Small

We propose a procedure to generate dynamical networks with bursty, possibly repetitive and correlated temporal behaviors. Regarding any weighted directed graph as being composed of the accumulation of paths between its nodes, our…

Physics and Society · Physics 2013-04-10 Alain Barrat , Bastien Fernandez , Kevin K Lin , Lai-Sang Young

Many temporal networks exhibit multiple system states, such as weekday and weekend patterns in social contact networks. The detection of such distinct states in temporal network data has recently been explored as it helps reveal underlying…

Social and Information Networks · Computer Science 2020-08-20 Shun Cao , Hiroki Sayama

We explore the problem of inferring the graph Laplacian of a weighted, undirected network from snapshots of a single or multiple discrete-time consensus dynamics, subject to parameter uncertainty, taking place on the network. Specifically,…

Social and Information Networks · Computer Science 2020-05-08 Yu Zhu , Michael T. Schaub , Ali Jadbabaie , Santiago Segarra

Network inference approaches are widely used to shed light on regulatory interplay between molecular players such as genes and proteins. Biochemical processes underlying networks of interest (e.g. gene regulatory or protein signalling…

Applications · Statistics 2014-06-03 Chris J Oates , Bryan T Hennessy , Yiling Lu , Gordon B Mills , Sach Mukherjee

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

We propose a novel approach for inferring the individualized causal effects of a treatment (intervention) from observational data. Our approach conceptualizes causal inference as a multitask learning problem; we model a subject's potential…

Machine Learning · Computer Science 2017-06-20 Ahmed M. Alaa , Michael Weisz , Mihaela van der Schaar

The idea of using multi-task learning approaches to address the joint extraction of entity and relation is motivated by the relatedness between the entity recognition task and the relation classification task. Existing methods using…

Computation and Language · Computer Science 2020-09-18 Kai Sun , Richong Zhang , Samuel Mensah , Yongyi Mao , Xudong Liu

Connectivity structure shapes neural computation, but inferring this structure from population recordings is degenerate: multiple connectivity structures can generate identical dynamics. Recent work uses low-rank recurrent neural networks…

Neurons and Cognition · Quantitative Biology 2026-03-30 Timothy Doyeon Kim , Ulises Pereira-Obilinovic , Yiliu Wang , Eric Shea-Brown , Uygar Sümbül

Extracting useful information from data is a fundamental challenge across disciplines as diverse as climate, neuroscience, genetics, and ecology. In the era of ``big data'', data is ubiquitous, but appropriated methods are needed for…

Chaotic Dynamics · Physics 2018-12-26 Nicolas Rubido , Cristina Masoller

Network scientists often use complex dynamic processes to describe network contagions, but tools for fitting contagion models typically assume simple dynamics. Here, we address this gap by developing a nonparametric method to reconstruct a…

Social and Information Networks · Computer Science 2024-10-10 Nicholas W. Landry , William Thompson , Laurent Hébert-Dufresne , Jean-Gabriel Young

Estimating causal interactions in complex dynamical systems is an important problem encountered in many fields of current science. While a theoretical solution for detecting the causal interactions has been previously formulated in the…

Data Analysis, Statistics and Probability · Physics 2020-01-20 Jakub Kořenek , Jaroslav Hlinka

Temporal networks have been increasingly used to model a diversity of systems that evolve in time; for example human contact structures over which dynamic processes such as epidemics take place. A fundamental aspect of real-life networks is…

Physics and Society · Physics 2017-11-08 Luis E C Rocha , Naoki Masuda , Petter Holme

We propose a new framework for the study of continuous time dynamical systems on networks. We view such dynamical systems as collections of interacting control systems. We show that a class of maps between graphs called graph fibrations…

Dynamical Systems · Mathematics 2018-08-30 Lee DeVille , Eugene Lerman

Learning graphs from sets of nodal observations represents a prominent problem formally known as graph topology inference. However, current approaches are limited by typically focusing on inferring single networks, and they assume that…

Social and Information Networks · Computer Science 2021-11-17 Samuel Rey , Andrei Buciulea , Madeline Navarro , Santiago Segarra , Antonio G. Marques

We explore a simple mathematical model of network computation, based on Markov chains. Similar models apply to a broad range of computational phenomena, arising in networks of computers, as well as in genetic, and neural nets, in social…

Information Retrieval · Computer Science 2009-04-18 Dusko Pavlovic

The experimental study of neural networks requires simultaneous measurements of a massive number of neurons, while monitoring properties of the connectivity, synaptic strengths and delays. Current technological barriers make such a mission…

Neurons and Cognition · Quantitative Biology 2016-01-12 Amir Goldental , Pinhas Sabo , Shira Sardi , Roni Vardi , Ido Kanter

Can evolving networks be inferred and modeled without directly observing their nodes and edges? In many applications, the edges of a dynamic network might not be observed, but one can observe the dynamics of stochastic cascading processes…

Machine Learning · Computer Science 2019-02-26 Elahe Ghalebi , Baharan Mirzasoleiman , Radu Grosu , Jure Leskovec