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Understanding cognitive flexibility and task-switching mechanisms in neural systems requires biologically plausible computational models. This tutorial presents a step-by-step approach to constructing a spiking neural network (SNN) that…

Neurons and Cognition · Quantitative Biology 2025-03-07 Ashwin Viswanathan Kannan , Madhumitha Ganesan

In order to ease the analysis of error propagation in neuromorphic computing and to get a better understanding of spiking neural networks (SNN), we address the problem of mathematical analysis of SNNs as endomorphisms that map spike trains…

Neural and Evolutionary Computing · Computer Science 2024-02-09 Bernhard A. Moser , Michael Lunglmayr

The relative timing of action potentials in neurons recorded from local cortical networks often shows a non-trivial dependence, which is then quantified by cross-correlation functions. Theoretical models emphasize that such spike train…

Neurons and Cognition · Quantitative Biology 2017-06-28 Taskin Deniz , Stefan Rotter

The effectiveness of deep neural architectures has been widely supported in terms of both experimental and foundational principles. There is also clear evidence that the activation function (e.g. the rectifier and the LSTM units) plays a…

Machine Learning · Computer Science 2018-10-08 Giuseppe Marra , Dario Zanca , Alessandro Betti , Marco Gori

Artificial neural networks normally require precise weights to operate, despite their origins in biological systems, which can be highly variable and noisy. When implementing artificial networks which utilize analog 'synaptic' devices to…

Neural and Evolutionary Computing · Computer Science 2021-09-29 Wilkie Olin-Ammentorp , Karsten Beckmann , Catherine D. Schuman , James S. Plank , Nathaniel C. Cady

We propose a computational model of neuron, called firing cell (FC), properties of which cover such phenomena as attenuation of receptors for external stimuli, delay and decay of postsynaptic potentials, modification of internal weights due…

Neural and Evolutionary Computing · Computer Science 2017-04-24 Jacek Bialowas , Beata Grzyb , Pawel Poszumski

We studied the impact of a dynamical threshold on the f-I curve-the relationship between the input and the firing rate of a neuron-in the presence of background synaptic inputs. First, we found that, while the leaky integrate-and-fire model…

Neurons and Cognition · Quantitative Biology 2009-11-13 Ryota Kobayashi

Although individual neurons and neural populations exhibit the phenomenon of representational drift, perceptual and behavioral outputs of many neural circuits can remain stable across time scales over which representational drift is…

We study the collective dynamics of a Leaky Integrate and Fire network in which precise relative phase relationship of spikes among neurons are stored, as attractors of the dynamics, and selectively replayed at differentctime scales. Using…

Neurons and Cognition · Quantitative Biology 2012-10-26 Silvia Scarpetta , Ferdinando Giacco

Quantum machine learning is in a period of rapid development and discovery, however it still lacks the resources and diversity of computational models of its classical complement. With the growing difficulties of classical models requiring…

Quantum Physics · Physics 2024-12-04 Dean Brand , Francesco Petruccione

Neural network test cases are meant to exercise different reasoning paths in an architecture and used to validate the prediction outcomes. In this paper, we introduce "computational profiles" as vectors of neuron activation levels. We…

Machine Learning · Computer Science 2021-07-30 Ettore Merlo , Mira Marhaba , Foutse Khomh , Houssem Ben Braiek , Giuliano Antoniol

Spiking neural networks (SNNs) based on Leaky Integrate and Fire (LIF) model have been applied to energy-efficient temporal and spatiotemporal processing tasks. Thanks to the bio-plausible neuronal dynamics and simplicity, LIF-SNN benefits…

Machine Learning · Computer Science 2022-03-04 Zhenzhi Wu , Hehui Zhang , Yihan Lin , Guoqi Li , Meng Wang , Ye Tang

Neuronal firing activities have attracted a lot of attention since a large population of spatiotemporal patterns in the brain is the basis for adaptive behavior and can also reveal the signs for various neurological disorders including…

Neurons and Cognition · Quantitative Biology 2017-03-13 Wenyuan Li , Igor V. Ovchinnikov , Honglin Chen , Zhe Wang , Albert Lee , Hochul Lee , Carlos Cepeda , Robert N. Schwartz , Karlheinz Meier , Kang L. Wang

We use mean field theory to study the response properties of a simple randomly-connected model cortical network of leaky integrate-and-fire neurons with balanced excitation and inhibition. The formulation permits arbitrary temporal…

Disordered Systems and Neural Networks · Physics 2007-05-23 John Hertz , Barry Richmond , Kristian Nilsen

The binding neuron model is inspired by numerical simulation of Hodgkin-Huxley-type point neuron, as well as by the leaky integrate-and-fire model. In the binding neuron, the trace of an input is remembered for a fixed period of time after…

Neurons and Cognition · Quantitative Biology 2011-07-20 Alexander K. Vidybida

The spiking neural network (SNN) using leaky-integrated-and-fire (LIF) neurons has been commonly used in automatic speech recognition (ASR) tasks. However, the LIF neuron is still relatively simple compared to that in the biological brain.…

Neural and Evolutionary Computing · Computer Science 2023-02-03 Minglun Han , Qingyu Wang , Tielin Zhang , Yi Wang , Duzhen Zhang , Bo Xu

While spiking neural networks (SNNs) provide a biologically inspired and energy-efficient computational framework, their robustness and the dynamic advantages inherent to biological neurons remain significantly underutilized owing to…

Neural and Evolutionary Computing · Computer Science 2025-09-04 Qianyi Bai , Haiteng Wang , Qiang Yu

We investigate numerically the dynamics of large networks of $N$ globally pulse-coupled integrate and fire neurons in a noise-induced synchronized state. The powerspectrum of an individual element within the network is shown to exhibit in…

chao-dyn · Physics 2009-10-28 Wouter-Jan Rappel , Alain Karma

Neocortical neurons have thousands of excitatory synapses. It is a mystery how neurons integrate the input from so many synapses and what kind of large-scale network behavior this enables. It has been previously proposed that non-linear…

Neurons and Cognition · Quantitative Biology 2016-04-25 Jeff Hawkins , Subutai Ahmad

The identification of sensory cues associated with potential opportunities and dangers is frequently complicated by unrelated events that separate useful cues by long delays. As a result, it remains a challenging task for state-of-the-art…

Neural and Evolutionary Computing · Computer Science 2023-07-17 Shimin Zhang , Qu Yang , Chenxiang Ma , Jibin Wu , Haizhou Li , Kay Chen Tan