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Optical computing could reduce the energy cost of artificial intelligence by leveraging the parallelism and propagation speed of light. However, implementing nonlinear activation, essential for machine learning, remains challenging in…

Optics · Physics 2026-01-01 Bahadır Utku Kesgin , Gülsüm Yaren Durdu , Uğur Teğin

Spiking neural networks (SNNs) communicate through the all-or-none spiking activity of neurons. However, fitting the large number of SNN model parameters to observed neural activity patterns, for example, in biological experiments, remains…

Neural and Evolutionary Computing · Computer Science 2021-05-17 James Fitzgerald , KongFatt Wong-Lin

We propose a scalable semiparametric Bayesian model to capture dependencies among multiple neurons by detecting their co-firing (possibly with some lag time) patterns over time. After discretizing time so there is at most one spike at each…

Applications · Statistics 2015-06-22 Babak Shahbaba , Bo Zhou , Shiwei Lan , Hernando Ombao , David Moorman , Sam Behseta

When two stimuli are present in the receptive field of a V4 neuron, the firing rate response is between the weakest and strongest response elicited by each of the stimuli alone (Reynolds et al, 1999, Journal of Neuroscience 19:1736-1753).…

Neurons and Cognition · Quantitative Biology 2007-05-23 Paul H. Tiesinga

How spiking neuronal networks encode memories in their different time and spatial scales constitute a fundamental topic in neuroscience and neuro-inspired engineering. Much attention has been paid to large networks and long-term memory, for…

Neurons and Cognition · Quantitative Biology 2023-03-23 Fabio Schittler Neves , Marc Timme

Neurons are often connected, spatially and temporally, in phenomenal ways that promote wave propagation. Therefore, it is essential to analyze the emergent spatiotemporal patterns to understand the working mechanism of brain activity,…

Pattern Formation and Solitons · Physics 2021-10-04 Argha Mondal , Chittaranjan Hens , Arnab Mondal , Chris G. Antonopoulos

We analyze the control of frequency for a synchronized inhibitory neuronal network. The analysis is done for a reduced membrane model with a biophysically-based synaptic influence. We argue that such a reduced model can quantitatively…

Neurons and Cognition · Quantitative Biology 2007-05-23 Carson C. Chow , John A. White , Jason Ritt , Nancy Kopell

The study of balanced networks of excitatory and inhibitory neurons has led to several open questions. On the one hand it is yet unclear whether the asynchronous state observed in the brain is autonomously generated, or if it results from…

Neurons and Cognition · Quantitative Biology 2016-09-22 Rodrigo Echeveste , Claudius Gros

Stochastic integrate-and-fire (IF) neuron models have found widespread applications in computational neuroscience. Here we present results on the white-noise-driven perfect, leaky, and quadratic IF models, focusing on the spectral…

Neurons and Cognition · Quantitative Biology 2015-05-14 Rafael D. Vilela , Benjamin Lindner

We study the response of a Hodgkin-Huxley neuron stimulated by a periodic sequence of conductance pulses arriving through the synapse in the high frequency regime. In addition to the usual excitation threshold there is a smooth crossover…

Biological Physics · Physics 2010-04-08 L. S. Borkowski

We prove the existence of a phase transition for a stochastic model of interacting neurons. The spiking activity of each neuron is represented by a point process having rate $1 $ whenever its membrane potential is larger than a threshold…

Probability · Mathematics 2018-08-15 P. A. Ferrari , A. Galves , I. Grigorescu , E. Löcherbach

Neuronal spiking exhibits an exquisite combination of modulation and robustness properties, rarely matched in artificial systems. We exploit the particular interconnection structure of conductance based models to investigate this remarkable…

Neurons and Cognition · Quantitative Biology 2013-11-12 Guillaume Drion , Alessio Franci , Vincent Seutin , Rodolphe Sepulchre

In neurosciences, the brain processes information via the firing patterns of connected neurons operating across a spectrum of frequencies. To better understand the effects of these frequencies in the neuron dynamics, we have simulated a…

Neurons and Cognition · Quantitative Biology 2025-11-21 Gabriel Marghoti , Thiago L. Prado , Miguel A. F. Sanjuán , Sergio R. Lopes

Computational models of the respiratory central pattern generator (rCPG) are usually based on biologically-plausible Hodgkin Huxley neuron models. Such models require numerous parameters and thus are prone to overfitting. The HH approach is…

Neurons and Cognition · Quantitative Biology 2018-11-29 Pavel Tolmachev , Rishi R. Dhingra , Michael Pauley , Mathias Dutschmann , Jonathan H. Manton

We present a neuronal network model inspired by the Ising model, where each neuron is a binary spin ($s_i = \pm1$) interacting with its neighbors on a 2D lattice. Updates are asynchronous and follow Metropolis dynamics, with a…

Neurons and Cognition · Quantitative Biology 2025-06-10 Sajedeh Sarmastani , Maliheh Ghodrat , Yousef Jamali

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

High-level brain function such as memory, classification or reasoning can be realized by means of recurrent networks of simplified model neurons. Analog neuromorphic hardware constitutes a fast and energy efficient substrate for the…

Neurons and Cognition · Quantitative Biology 2016-06-10 Thomas Pfeil , Jakob Jordan , Tom Tetzlaff , Andreas Grübl , Johannes Schemmel , Markus Diesmann , Karlheinz Meier

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

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 response of a neural cell to an external stimulus can follow one of the two patterns: Nonresonant neurons monotonously relax to the resting state after excitation while resonant ones show subthreshold oscillations. We investigate how do…

Neurons and Cognition · Quantitative Biology 2009-11-10 T. Verechtchaguina , L. Schimansky-Geier , I. M. Sokolov