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Graphical modelling techniques based on sparse selection have been applied to infer complex networks in many fields, including biology and medicine, engineering, finance, and social sciences. One structural feature of some of the networks…

Statistics Theory · Mathematics 2020-03-03 Annaliza McGillivray , Abbas Khalili , David A. Stephens

Neural networks encode information through their collective spiking activity in response to external stimuli. This population response is noisy and strongly correlated, with complex interplay between correlations induced by the stimulus,…

Neurons and Cognition · Quantitative Biology 2022-11-28 Gabriel Mahuas , Olivier Marre , Thierry Mora , Ulisse Ferrari

Deducing the structure of neural circuits is one of the central problems of modern neuroscience. Recently-introduced calcium fluorescent imaging methods permit experimentalists to observe network activity in large populations of neurons,…

Applications · Statistics 2011-07-22 Yuriy Mishchencko , Joshua T. Vogelstein , Liam Paninski

Knowing brain connectivity is of great importance both in basic research and for clinical applications. We are proposing a method to infer directed connectivity from zero-lag covariances of neuronal activity recorded at multiple sites. This…

Neurons and Cognition · Quantitative Biology 2018-04-10 Jonathan Schiefer , Alexander Niederbühl , Volker Pernice , Carolin Lennartz , Pierre LeVan , Jürgen Henning , Stefan Rotter

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

Inferring connectivity in neuronal networks remains a key challenge in statistical neuroscience. The `common input' problem presents the major roadblock: it is difficult to reliably distinguish causal connections between pairs of observed…

Neurons and Cognition · Quantitative Biology 2014-12-19 Daniel Soudry , Suraj Keshri , Patrick Stinson , Min-hwan Oh , Garud Iyengar , Liam Paninski

We apply an information theoretic treatment of action potential time series measured with microelectrode arrays to estimate the connectivity of mammalian neuronal cell assemblies grown {\it in vitro}. We infer connectivity between two…

Neurons and Cognition · Quantitative Biology 2007-05-23 Luis M. A. Bettencourt , Greg J. Stephens , Michael I. Ham , Guenter W. Gross

Neurophysiologists are nowadays able to record from a large number of extracellular electrodes and to extract, from the raw data, the sequences of action potentials or spikes generated by many neurons. Unfortunately these ''many neurons''…

Applications · Statistics 2026-04-22 Pierre Charitat , Ségolen Geffray , Christophe Pouzat

One major challenge in neuroscience is the identification of interrelations between signals reflecting neural activity and how information processing occurs in the neural circuits. At the cellular and molecular level, mechanisms of signal…

Applications · Statistics 2019-09-27 Giacomo Aletti , Davide Lonardoni , Giovanni Naldi , Thierry Nieus

Modeling the behavior of coupled networks is challenging due to their intricate dynamics. For example in neuroscience, it is of critical importance to understand the relationship between the functional neural processes and anatomical…

Machine Learning · Computer Science 2021-04-20 Hongyuan You , Sikun Lin , Ambuj K. Singh

Neuroscientists have enjoyed much success in understanding brain functions by constructing brain connectivity networks using data collected under highly controlled experimental settings. However, these experimental settings bear little…

Machine Learning · Statistics 2019-06-24 Kean Ming Tan , Junwei Lu , Tong Zhang , Han Liu

Sparse connectivity is a hallmark of the brain and a desired property of artificial neural networks. It promotes energy efficiency, simplifies training, and enhances the robustness of network function. Thus, a detailed understanding of how…

Disordered Systems and Neural Networks · Physics 2024-09-10 Mirza M. Junaid Baig , Armen Stepanyants

Networked sensing, where the goal is to perform complex inference using a large number of inexpensive and decentralized sensors, has become an increasingly attractive research topic due to its applications in wireless sensor networks and…

Machine Learning · Statistics 2017-01-04 Yuejie Chi , Haoyu Fu

Dynamics and function of neuronal networks are determined by their synaptic connectivity. Current experimental methods to analyze synaptic network structure on the cellular level, however, cover only small fractions of functional neuronal…

Neurons and Cognition · Quantitative Biology 2015-07-28 Yury V. Zaytsev , Abigail Morrison , Moritz Deger

Research data sets are growing to unprecedented sizes and network modeling is commonly used to extract complex relationships in diverse domains, such as genetic interactions involved in disease, logistics, and social communities. As the…

Social and Information Networks · Computer Science 2024-05-03 Sharlee Climer , Kenneth Smith , Wei Yang , Lisa de las Fuentes , Victor G. Dávila-Román , C. Charles Gu

Various brain functions that are necessary to maintain life activities materialize through the interaction of countless neurons. Therefore, it is important to analyze functional neuronal network. To elucidate the mechanism of brain…

Neurons and Cognition · Quantitative Biology 2023-06-29 Shun Kimura , Koujin Takeda

The vast majority of network datasets contains errors and omissions, although this is rarely incorporated in traditional network analysis. Recently, an increasing effort has been made to fill this methodological gap by developing network…

Social and Information Networks · Computer Science 2018-10-19 Tiago P. Peixoto

Network data are increasingly collected along with other variables of interest. Our motivation is drawn from neurophysiology studies measuring brain connectivity networks for a sample of individuals along with their membership to a low or…

Methodology · Statistics 2018-09-11 Daniele Durante , David B. Dunson

We study the problem of modeling multiple symmetric, weighted networks defined on a common set of nodes, where networks arise from different groups or conditions. We propose a model in which each network is expressed as the sum of a shared…

Statistics Theory · Mathematics 2025-06-23 Hao Yan , Keith Levin

A systematic assessment of global neural network connectivity through direct electrophysiological assays has remained technically unfeasible even in dissociated neuronal cultures. We introduce an improved algorithmic approach based on…

Neurons and Cognition · Quantitative Biology 2015-06-03 Olav Stetter , Demian Battaglia , Jordi Soriano , Theo Geisel
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