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There has been a strong push recently to examine biological scale simulations of neuromorphic algorithms to achieve stronger inference capabilities. This paper presents a set of piecewise linear spiking neuron models, which can reproduce…

Machine Learning · Computer Science 2012-12-18 Hamid Soleimani , Arash Ahmadi , Mohammad Bavandpour

The major problem in information theoretic analysis of neural responses and other biological data is the reliable estimation of entropy--like quantities from small samples. We apply a recently introduced Bayesian entropy estimator to…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Ilya Nemenman , William Bialek , Rob de Ruyter van Steveninck

The highly variable dynamics of neocortical circuits observed in vivo have been hypothesized to represent a signature of ongoing stochastic inference but stand in apparent contrast to the deterministic response of neurons measured in vitro.…

Neurons and Cognition · Quantitative Biology 2017-03-14 Mihai A. Petrovici , Johannes Bill , Ilja Bytschok , Johannes Schemmel , Karlheinz Meier

Spiking activity in cortical networks is nonlinear in nature. The linear-nonlinear cascade model, some versions of which are also known as point-process generalized linear model, can efficiently capture the nonlinear dynamics exhibited by…

Neurons and Cognition · Quantitative Biology 2020-01-16 Michael Kordovan , Stefan Rotter

The seemingly stochastic transient dynamics of neocortical circuits observed in vivo have been hypothesized to represent a signature of ongoing stochastic inference. In vitro neurons, on the other hand, exhibit a highly deterministic…

Neurons and Cognition · Quantitative Biology 2017-03-14 Mihai A. Petrovici , Johannes Bill , Ilja Bytschok , Johannes Schemmel , Karlheinz Meier

Detecting dynamic patterns of task-specific responses shared across heterogeneous datasets is an essential and challenging problem in many scientific applications in medical science and neuroscience. In our motivating example of rodent…

Neurons and Cognition · Quantitative Biology 2024-07-02 Yubai Yuan , Babak Shahbaba , Norbert Fortin , Keiland Cooper , Qing Nie , Annie Qu

Contemporary modeling approaches to the dynamics of neural networks consider two main classes of models: biologically grounded spiking neurons and functionally inspired rate-based units. The unified simulation framework presented here…

Neurons and Cognition · Quantitative Biology 2017-11-27 Jan Hahne , David Dahmen , Jannis Schuecker , Andreas Frommer , Matthias Bolten , Moritz Helias , Markus Diesmann

Despite the recent success of reconciling spike-based coding with the error backpropagation algorithm, spiking neural networks are still mostly applied to tasks stemming from sensory processing, operating on traditional data structures like…

Neural and Evolutionary Computing · Computer Science 2023-08-25 Dominik Dold , Josep Soler Garrido

We address a question on the effect of common stochastic inputs on the correlation of the spikes trains of two neurons when they are possibly nonidentical and are coupled through direct connections. We show that the change in the…

Neurons and Cognition · Quantitative Biology 2013-04-24 E. Bolhasani , Y. Azizi , A. Valizadeh

For energy-efficient computation in specialized neuromorphic hardware, we present spiking neural coding, an instantiation of a family of artificial neural models grounded in the theory of predictive coding. This model, the first of its…

Neural and Evolutionary Computing · Computer Science 2022-08-09 Alexander Ororbia

Generalized linear models are one of the most efficient paradigms for predicting the correlated stochastic activity of neuronal networks in response to external stimuli, with applications in many brain areas. However, when dealing with…

Disordered Systems and Neural Networks · Physics 2020-11-17 Gabriel Mahuas , Giulio Isacchini , Olivier Marre , Ulisse Ferrari , Thierry Mora

The present work reports a comparative performance of artificial neurons obtained in terms of the real-valued Jaccard and coincidence similarity indices and respectively derived functionals. The interiority index and classic…

Machine Learning · Computer Science 2022-04-27 Luciano da F. Costa

A new cross-correlation synchrony index for neural activity is proposed. The index is based on the integration of the kernel estimation of the cross-correlation function. It is used to test for the dynamic synchronization levels of…

Neurons and Cognition · Quantitative Biology 2016-02-22 Aldana M. González Montoro , Ricardo Cao , Nelson Espinosa , Javier Cudeiro , Jorge Mariño

A major goal of neuroscience, statistical physics and nonlinear dynamics is to understand how brain function arises from the collective dynamics of networks of spiking neurons. This challenge has been chiefly addressed through large-scale…

Neurons and Cognition · Quantitative Biology 2015-06-23 Ernest Montbrió , Diego Pazó , Alex Roxin

Technological advancements have enabled the recording of spiking activities from large neuron ensembles, presenting an exciting yet challenging opportunity for statistical analysis. This project considers the challenges from a common type…

Applications · Statistics 2024-04-05 Zitong Zhang , Shizhe Chen

A vast majority of spiking neural networks (SNNs) are trained based on inductive biases that are not necessarily a good fit for several critical tasks that require low-latency and power efficiency. Inferring brain behavior based on the…

Neural and Evolutionary Computing · Computer Science 2023-04-20 Xi Chen , Siwei Mai , Konstantinos Michmizos

We study the spike statistics of neurons in a network with dynamically balanced excitation and inhibition. Our model, intended to represent a generic cortical column, comprises randomly connected excitatory and inhibitory leaky…

Neurons and Cognition · Quantitative Biology 2007-05-23 Alexander Lerchner , Cristina Ursta , John Hertz , Mandana Ahmadi , Pauline Ruffiot

Estimating the degree of synchrony or reliability between two or more spike trains is a frequent task in both experimental and computational neuroscience. In recent years, many different methods have been proposed that typically compare the…

Biological Physics · Physics 2012-12-11 Thomas Kreuz , Julie S. Haas , Alice Morelli , Henry D. I. Abarbanel , Antonio Politi

We demonstrate that the information contained in the spike occurrence times of a population of neurons can be broken up into a series of terms, each of which reflect something about potential coding mechanisms. This is possible in the…

Biological Physics · Physics 2007-05-23 S. Panzeri , S. R. Schultz

Dynamic functional connectivity is an effective measure for the brain's responses to continuous stimuli. We propose an inferential method to detect the dynamic changes of brain networks based on time-varying graphical models. Whereas most…

Applications · Statistics 2020-06-23 Dingjue Ji , Junwei Lu , Yiliang Zhang , Hongyu Zhao , Siyuan Gao