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The computation performed by a neuron can be formulated as a combination of dimensional reduction in stimulus space and the nonlinearity inherent in a spiking output. White noise stimulus and reverse correlation (the spike-triggered average…

Biological Physics · Physics 2007-05-23 Blaise Aguera y Arcas , Adrienne Fairhall

Simulation speed matters for neuroscientific research: this includes not only how quickly the simulated model time of a large-scale spiking neuronal network progresses, but also how long it takes to instantiate the network model in computer…

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

Maintaining the ability to fire sparsely is crucial for information encoding in neural networks. Additionally, spiking homeostasis is vital for spiking neural networks with changing numbers of weights and neurons. We discuss a range of…

Neural and Evolutionary Computing · Computer Science 2019-10-02 Katarzyna Kozdon , Peter Bentley

We consider a class of spiking neuronal models, defined by a set of conditions typical for basic threshold-type models, such as the leaky integrate-and-fire or the binding neuron model and also for some artificial neurons. A neuron is fed…

Neurons and Cognition · Quantitative Biology 2018-10-04 Alexander Vidybida , Olha Shchur

Neural spike trains, which are sequences of very brief jumps in voltage across the cell membrane, were one of the motivating applications for the development of point process methodology. Early work required the assumption of stationarity,…

Applications · Statistics 2011-08-01 Robert E. Kass , Ryan C. Kelly , Wei-Liem Loh

Consider observing a collection of discrete events within a network that reflect how network nodes influence one another. Such data are common in spike trains recorded from biological neural networks, interactions within a social network,…

Machine Learning · Statistics 2018-02-15 Benjamin Mark , Garvesh Raskutti , Rebecca Willett

When inhibitory neurons constitute about 40% of neurons they could have an important antinociceptive role, as they would easily regulate the level of activity of other neurons. We consider a simple network of cortical spiking neurons with…

Neurons and Cognition · Quantitative Biology 2014-01-28 Fernando Montani , Emilia B. Deleglise , Osvaldo A. Rosso

Our brain consists of biological neurons encoding information through accurate spike timing, yet both the architecture and learning rules of our brain remain largely unknown. Comparing to the recent development of backpropagation-based…

Neural and Evolutionary Computing · Computer Science 2021-11-29 Yukun Yang , Peng Li

Encoding models are used for predicting brain activity in response to sensory stimuli with the objective of elucidating how sensory information is represented in the brain. Encoding models typically comprise a nonlinear transformation of…

Neurons and Cognition · Quantitative Biology 2017-03-13 Umut Güçlü , Marcel A. J. van Gerven

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

It has long been debated whether information in the brain is coded at the rate of neuronal spiking or at the precise timing of single spikes. Although this issue is essential to the understanding of neural signal processing, it is not…

Neurons and Cognition · Quantitative Biology 2014-02-17 Yasuhiro Mochizuk , Shigeru Shinomoto

Spiking neural networks play an important role in brain-like neuromorphic computations and in studying working mechanisms of neural circuits. One drawback of training a large scale spiking neural network is that updating all weights is…

Neurons and Cognition · Quantitative Biology 2024-08-15 Zhanghan Lin , Haiping Huang

Providing the neurobiological basis of information processing in higher animals, spiking neural networks must be able to learn a variety of complicated computations, including the generation of appropriate, possibly delayed reactions to…

Neurons and Cognition · Quantitative Biology 2016-06-30 Dominik Thalmeier , Marvin Uhlmann , Hilbert J. Kappen , Raoul-Martin Memmesheimer

We present a probabilistic model for learning from dynamic relational data, wherein the observed interactions among networked nodes are modeled via the Bernoulli Poisson link function, and the underlying network structure are characterized…

Social and Information Networks · Computer Science 2018-05-29 Sikun Yang , Heinz Koeppl

Elements of neural networks, both biological and artificial, can be described by their selectivity for specific cognitive features. Understanding these features is important for understanding the inner workings of neural networks. For a…

Neural and Evolutionary Computing · Computer Science 2026-04-28 Nikita Pospelov , Andrei Chertkov , Maxim Beketov , Ivan Oseledets , Konstantin Anokhin

Spiking neural networks are motivated from principles of neural systems and may possess unexplored advantages in the context of machine learning. A class of \textit{convolutional spiking neural networks} is introduced, trained to detect…

Neural and Evolutionary Computing · Computer Science 2018-08-27 Daniel J. Saunders , Hava T. Siegelmann , Robert Kozma , Miklós Ruszinkó

An increasing body of evidence suggests that the trial-to-trial variability of spiking activity in the brain is not mere noise, but rather the reflection of a sampling-based encoding scheme for probabilistic computing. Since the precise…

Spiking Neural Networks (SNNs) offer a novel computational paradigm that captures some of the efficiency of biological brains by processing through binary neural dynamic activations. Probabilistic SNN models are typically trained to…

Machine Learning · Computer Science 2021-02-08 Hyeryung Jang , Osvaldo Simeone

Understanding the relation between cortical neuronal network structure and neuronal activity is a fundamental unresolved question in neuroscience, with implications to our understanding of the mechanism by which neuronal networks evolve…