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We present a method of estimating the gradient of an objective function with respect to the synaptic weights of a spiking neural network. The method works by measuring the fluctuations in the objective function in response to dynamic…

Neurons and Cognition · Quantitative Biology 2007-05-23 Ila R. Fiete , H. Sebastian Seung

Advances in neuroscience have enabled researchers to measure the activities of large numbers of neurons simultaneously in behaving animals. We have access to the fluorescence of each of the neurons which provides a first-order approximation…

Neurons and Cognition · Quantitative Biology 2023-07-21 Abhisek Chakraborty

Permutation tests have been proposed by Albert et al. (2015) to detect dependence between point processes, modeling in particular spike trains, that is the time occurrences of action potentials emitted by neurons. Our present work focuses…

Statistics Theory · Mathematics 2025-11-04 Josué Tchouanti , Éva Löcherbach , Patricia Reynaud-Bouret , Etienne Tanré

Using a realistic model of activity dependent dynamical synapses and a standard integrate and fire neuron model we study, both analytically and numerically, the conditions in which a postsynaptic neuron efficiently detects temporal…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jorge F. Mejias , Joaquin J. Torres

The information of spiking neural networks (SNNs) are propagated between the adjacent biological neuron by spikes, which provides a computing paradigm with the promise of simulating the human brain. Recent studies have found that the time…

Neural and Evolutionary Computing · Computer Science 2022-05-05 Pengfei Sun , Longwei Zhu , Dick Botteldooren

This work is part of an effort to understand the neural basis for our visual system's ability, or failure, to accurately track moving visual signals. We consider here a ring model of spiking neurons, intended as a simplified computational…

Neurons and Cognition · Quantitative Biology 2016-01-13 Guillaume Lajoie , Lai-Sang Young

Spike time response curves (STRC's) are used to study the influence of synaptic stimuli on the firing times of a neuron oscillator without the assumption of weak coupling. They allow us to approximate the dynamics of synchronous state in…

Neurons and Cognition · Quantitative Biology 2013-04-24 Sachin S. Talathi , Dong-Uk Hwang , Abraham Miliotis , Paul R. Carney , William L. Ditto

Generic simulation code for spiking neuronal networks spends the major part of time in the phase where spikes have arrived at a compute node and need to be delivered to their target neurons. These spikes were emitted over the last interval…

Neurons and Cognition · Quantitative Biology 2022-03-14 Jari Pronold , Jakob Jordan , Brian J. N. Wylie , Itaru Kitayama , Markus Diesmann , Susanne Kunkel

Much progress has been made in uncovering the computational capabilities of spiking neural networks. However, spiking neurons will always be more expensive to simulate compared to rate neurons because of the inherent disparity in time…

Neurons and Cognition · Quantitative Biology 2013-10-31 Michael A. Buice , Carson C. Chow

This paper proposes a neuronal circuitry layout and synaptic plasticity principles that allow the (pyramidal) neuron to act as a "combinatorial switch". Namely, the neuron learns to be more prone to generate spikes given those combinations…

Biological Physics · Physics 2017-05-09 Marat M. Rvachev

Neurons communicate with downstream systems via sparse and incredibly brief electrical pulses, or spikes. Using these events, they control various targets such as neuromuscular units, neurosecretory systems, and other neurons in connected…

Neurons and Cognition · Quantitative Biology 2026-03-17 Paolo Agliati , André Urbano , Pablo Lanillos , Nasir Ahmad , Marcel van Gerven , Sander Keemink

The repeated presentation of an identical visual stimulus in the receptive field of a neuron may evoke different spiking patterns at each trial. Probabilistic methods are essential to understand the functional role of this variance within…

Neurons and Cognition · Quantitative Biology 2016-11-15 Wahiba Taouali , Giacomo Benvenuti , Pascal Wallisch , Frédéric Chavane , Laurent Perrinet

First spike latency following stimulus onset is of significant physiological relevance. Neurons transmit information about their inputs by transforming them into spike trains, and the timing of these spike trains is in turn crucial for…

Biological Physics · Physics 2014-03-27 Rukiye Uzun , Mahmut Ozer , Matjaz Perc

Humans perform remarkably well in many cognitive tasks including pattern recognition. However, the neuronal mechanisms underlying this process are not well understood. Nevertheless, artificial neural networks, inspired in brain circuits,…

Neurons and Cognition · Quantitative Biology 2018-06-28 Gianluca Susi , Luis Anton Toro , Leonides Canuet , Maria Eugenia Lopez , Fernando Maestu , Claudio R. Mirasso , Ernesto Pereda

Optical neural networks (ONNs) perform extensive computations using photons instead of electrons, resulting in passively energy-efficient and low-latency computing. Among various ONNs, the diffractive optical neural networks (DONNs)…

Spatio-temporal receptive fields (STRF) of visual neurons are often estimated using spike-triggered averaging of binary pseudo-random stimulus sequences. The spike train of a visual neuron is recorded simultaneously with the stimulus…

Quantitative Methods · Quantitative Biology 2024-07-24 Murat Okatan

Statistical similarities between neuronal spike trains could reveal significant information on complex underlying processing. In general, the similarity between synchronous spike trains is somewhat easy to identify. However, the similar…

Neurons and Cognition · Quantitative Biology 2021-03-16 Sathish Ande , Jayanth R Regatti , Neha Pandey , Ajith Karunarathne , Lopamudra Giri , Soumya Jana

The surrogate gradient descent algorithm enabled spiking neural networks to be trained to carry out challenging sensory processing tasks, an important step in understanding how spikes contribute to neural computations. However, it is…

Neural and Evolutionary Computing · Computer Science 2025-12-19 Ziqiao Yu , Pengfei Sun , Danyal Akarca , Dan F. M. Goodman

Spike sorting refers to the problem of assigning action potentials observed in extra-cellular recordings of neural activity to the neuron(s) from which they originate. We cast this problem as one of learning a convolutional dictionary from…

Methodology · Statistics 2018-06-07 Andrew H. Song , Francisco Flores , Demba Ba

Precise control of signal propagation in modular neural networks represents a fundamental challenge in computational neuroscience. We establish a framework for identifying optimal control nodes that maximize stimulus transmission between…

Neurons and Cognition · Quantitative Biology 2025-08-18 Bulat Batuev , Arsenii Onuchin , Sergey Sukhov