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We address the questions of identifying pairs of interacting neurons from the observation of their spiking activity. The neuronal network is modeled by a system of interacting point processes with memory of variable length. The influence of…

Statistics Theory · Mathematics 2021-06-22 Emilio De Santis , Antonio Galves , Giovanna Nappo , Mauro Piccioni

Despite intensive research, the mechanisms underlying how neurons encode external inputs remain poorly understood. Recent work has focused on the response of a single neuron to a weak, subthreshold periodic signal. By simulating the…

Neurons and Cognition · Quantitative Biology 2017-11-23 Maria Masoliver , Cristina Masoller

A main concern in cognitive neuroscience is to decode the overt neural spike train observations and infer latent representations under neural circuits. However, traditional methods entail strong prior on network structure and hardly meet…

Neurons and Cognition · Quantitative Biology 2019-11-22 Zhijie Chen , Junchi Yan , Longyuan Li , Xiaokang Yang

We investigate how the activation function can be used to describe neural firing in an abstract way, and in turn, why it works well in artificial neural networks. We discuss how a spike in a biological neurone belongs to a particular…

Neurons and Cognition · Quantitative Biology 2022-12-27 Dalton A R Sakthivadivel

We present a formal, mathematical foundation for modeling and reasoning about the behavior of $synchronous$, $stochastic$ $Spiking$ $Neural$ $Networks$ $(SNNs)$, which have been widely used in studies of neural computation. Our approach…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-10 Nancy Lynch , Cameron Musco

Advances in large-scale neural recordings have expanded our ability to describe the activity of distributed brain circuits. However, understanding how neural population dynamics differ across regions and behavioral contexts remains…

We initiate the study of biological neural networks from the perspective of streaming algorithms. Like computers, human brains suffer from memory limitations which pose a significant obstacle when processing large scale and dynamically…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-06 Yael Hitron , Cameron Musco , Merav Parter

Learning and inferring features that generate sensory input is a task continuously performed by cortex. In recent years, novel algorithms and learning rules have been proposed that allow neural network models to learn such features from…

Neurons and Cognition · Quantitative Biology 2021-04-13 Yasser Roudi , Graham Taylor

Neuronal dynamics is intrinsically unstable, producing activity fluctuations that are essentially scale-free. Here we show that while these scale-free fluctuations are independent of temporal input statistics, they can be entrained by input…

Neurons and Cognition · Quantitative Biology 2013-05-02 Asaf Gal , Shimon Marom

We study a reinforcement learning for temporal coding with neural network consisting of stochastic spiking neurons. In neural networks, information can be coded by characteristics of the timing of each neuronal firing, including the order…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Daichi Kimura , Yoshinori Hayakawa

A scheme is derived for learning connectivity in spiking neural networks. The scheme learns instantaneous firing rates that are conditional on the activity in other parts of the network. The scheme is independent of the choice of neuron…

Neural and Evolutionary Computing · Computer Science 2015-02-23 James A. Henderson , TingTing A. Gibson , Janet Wiles

Spiking Neural Networks (SNNs) are distributed trainable systems whose computing elements, or neurons, are characterized by internal analog dynamics and by digital and sparse synaptic communications. The sparsity of the synaptic spiking…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Hyeryung Jang , Osvaldo Simeone , Brian Gardner , André Grüning

Spikes in the membrane electrical potentials of neurons play a major role in the functioning of nervous systems of animals. Obtaining the spikes from different neurons has been a challenging problem for decades. Several schemes have been…

Quantitative Methods · Quantitative Biology 2016-02-11 Anupam Mitra , Anagh Pathak , Kaushik Majumdar

Sequences of events in noise-driven excitable systems with slow variables often show serial correlations among their intervals of events. Here, we employ a master equation for general non-renewal processes to calculate the interval and…

Biological Physics · Physics 2011-05-23 Farzad Farkhooi , Eilif Muller , Martin P. Nawrot

The combination of spiking neural networks and event-based vision sensors holds the potential of highly efficient and high-bandwidth optical flow estimation. This paper presents the first hierarchical spiking architecture in which motion…

Computer Vision and Pattern Recognition · Computer Science 2019-03-29 Federico Paredes-Vallés , Kirk Y. W. Scheper , Guido C. H. E. de Croon

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

We describe a new, computationally simple method for analyzing the dynamics of neuronal spike trains driven by external stimuli. The goal of our method is to test the predictions of simple spike-generating models against extracellularly…

Neurons and Cognition · Quantitative Biology 2007-05-23 Daniel S. Reich , Jonathan D. Victor , Bruce W. Knight

A steadily increasing body of evidence suggests that the brain performs probabilistic inference to interpret and respond to sensory input and that trial-to-trial variability in neural activity plays an important role. The neural sampling…

Neurons and Cognition · Quantitative Biology 2017-07-07 Ilja Bytschok , Dominik Dold , Johannes Schemmel , Karlheinz Meier , Mihai A. Petrovici

The activity of neurons within brain circuits has been ubiquitously reported to be correlated. The impact of these correlations on brain function has been extensively investigated. Correlations can in principle increase or decrease the…

Neurons and Cognition · Quantitative Biology 2025-07-24 Miguel Ibáñez-Berganza , Giulio Bondanelli , Stefano Panzeri

Understanding how the brain learns to compute functions reliably, efficiently and robustly with noisy spiking activity is a fundamental challenge in neuroscience. Most sensory and motor tasks can be described as dynamical systems and could…

Neurons and Cognition · Quantitative Biology 2017-05-24 Sophie Denève , Alireza Alemi , Ralph Bourdoukan
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