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Maximum entropy models are the least structured probability distributions that exactly reproduce a chosen set of statistics measured in an interacting network. Here we use this principle to construct probabilistic models which describe the…

Neurons and Cognition · Quantitative Biology 2014-01-28 Gašper Tkačik , Olivier Marre , Dario Amodei , Elad Schneidman , William Bialek , Michael J Berry

Neurons perform computations, and convey the results of those computations through the statistical structure of their output spike trains. Here we present a practical method, grounded in the information-theoretic analysis of prediction, for…

Neurons and Cognition · Quantitative Biology 2022-03-18 Robert Haslinger , Kristina Lisa Klinkner , Cosma Rohilla Shalizi

We investigate population and individual firing behaviors in sparsely synchronized rhythms (SSRs) in a spiking neural network of the hippocampal dentate gyrus (DG). The main encoding granule cells (GCs) are grouped into lamellar clusters.…

Neurons and Cognition · Quantitative Biology 2021-06-02 Sang-Yoon Kim , Woochang Lim

Many biological and neural systems can be seen as networks of interacting periodic processes. Importantly, their functionality depends on the emerging collective dynamics of the network. Synchrony of oscillations is one of the most…

Adaptation and Self-Organizing Systems · Physics 2020-05-29 Christian Bick , Marc Goodfellow , Carlo R. Laing , Erik A. Martens

We address the problem of stability of motor actions implemented by the central nervous system based on simple algorithms potentially reflecting physical (including physiological) processes within the body. A number of conceptually simple…

Neurons and Cognition · Quantitative Biology 2015-06-24 V. M. Akulin , F. Carlier , Stanislaw Solnik , M. L. Latash

Neural decoding may be formulated as dynamic state estimation (filtering) based on point process observations, a generally intractable problem. Numerical sampling techniques are often practically useful for the decoding of real neural data.…

Neurons and Cognition · Quantitative Biology 2019-01-15 Yuval Harel , Ron Meir , Manfred Opper

Human populations exhibit complex behaviors---characterized by long-range correlations and surges in activity---across a range of social, political, and technological contexts. Yet it remains unclear where these collective behaviors come…

Physics and Society · Physics 2020-05-07 Christopher W. Lynn , Lia Papadopoulos , Daniel D. Lee , Danielle S. Bassett

Many classical models of collective behavior assume that emergent dynamics result from external and observable interactions among individuals. However, how collective dynamics in human populations depend on the internal psychological…

Physics and Society · Physics 2024-09-27 Alice C Schwarze , Mari Kawakatsu , Sarah Iams , Nina H Fefferman , Tahra L Eissa

Inter-area oscillations in bulk power systems are typically poorly controllable by means of local decentralized control. Recent research efforts have been aimed at developing wide- area control strategies that involve communication of…

Optimization and Control · Mathematics 2013-11-13 Florian Dörfler , Mihailo R. Jovanovic , Michael Chertkov , Francesco Bullo

Recent progress in diverse intelligence has shown simple learning capacities below the organism level - single cells and even molecular networks. However, there are still many knowledge gaps around learning capacity above the organism…

Populations and Evolution · Quantitative Biology 2026-05-29 Adrita Samanta , Hananel Hazan , Michael Levin

We introduce a dynamic model for complexity control (CC) between systems, represented by time series characterized by different temporal complexity measures, as indicated by their respective inverse power law (IPL) indices. Given the…

Adaptation and Self-Organizing Systems · Physics 2024-10-25 Korosh Mahmoodi , Scott E. Kerick , Piotr J. Franaszczuk , Paolo Grigolini , Bruce J. West

Neurons in cortical circuits exhibit coordinated spiking activity, and can produce correlated synchronous spikes during behavior and cognition. We recently developed a method for estimating the dynamics of correlated ensemble activity by…

Neurons and Cognition · Quantitative Biology 2013-12-17 Hideaki Shimazaki

Effective therapy of complex diseases requires control of highly non-linear complex networks that remain incompletely characterized. In particular, drug intervention can be seen as control of signaling in cellular networks. Identification…

Quantitative Methods · Quantitative Biology 2009-09-03 Jacob D. Feala , Jorge Cortes , Phillip M. Duxbury , Carlo Piermarocchi , Andrew D. McCulloch , Giovanni Paternostro

Human behavior is conditioned by codes and norms that constrain action. Rules, ``manners,'' laws, and moral imperatives are examples of classes of constraints that govern human behavior. These systems of constraints are "messy:" individual…

Artificial Intelligence · Computer Science 2023-06-16 Robert E. Wray , Steven J. Jones , John E. Laird

Sparse coding algorithms trained on natural images can accurately predict the features that excite visual cortical neurons, but it is not known whether such codes can be learned using biologically realistic plasticity rules. We have…

Neurons and Cognition · Quantitative Biology 2011-11-01 Joel Zylberberg , Jason Timothy Murphy , Michael Robert DeWeese

In this paper, we investigate community detection in networks in the presence of node covariates. In many instances, covariates and networks individually only give a partial view of the cluster structure. One needs to jointly infer the full…

Methodology · Statistics 2018-04-26 Bowei Yan , Purnamrita Sarkar

In the past two decades we have seen the popularity of neural networks increase in conjunction with their classification accuracy. Parallel to this, we have also witnessed how fragile the very same prediction models are: tiny perturbations…

Machine Learning · Computer Science 2022-01-25 Mark Beliaev , Payam Delgosha , Hamed Hassani , Ramtin Pedarsani

Animal brains exhibit remarkable efficiency in perception and action, while being robust to both external and internal perturbations. The means by which brains accomplish this remains, for now, poorly understood, hindering our understanding…

Neurons and Cognition · Quantitative Biology 2026-03-11 André Urbano , Pablo Lanillos , Sander Keemink

Network flow is a powerful mathematical framework to systematically explore the relationship between structure and function in biological, social, and technological networks. We introduce a new pipelining model of flow through networks…

Neural and Evolutionary Computing · Computer Science 2019-11-04 Lavanya Marla , Lav R. Varshney , Devavrat Shah , Nirmal A. Prakash , Michael E. Gale

Reconstructing the causal network in a complex dynamical system plays a crucial role in many applications, from sub-cellular biology to economic systems. Here we focus on inferring gene regulation networks (GRNs) from perturbation or gene…

Quantitative Methods · Quantitative Biology 2016-12-21 Hoi-To Wai , Anna Scaglione , Uzi Harush , Baruch Barzel , Amir Leshem