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The effect of small forced symmetry breaking on the dynamics near a structurally stable heteroclinic cycle connecting two equilibria and a periodic orbit is investigated. This type of system is known to exhibit complicated, possibly chaotic…

混沌动力学 · 物理学 2008-05-07 Vivien Kirk , Alastair M. Rucklidge

We present a novel stochastic Hebb-like learning rule for neural networks. This learning rule is stochastic with respect to the selection of the time points when a synaptic modification is induced by pre- and postsynaptic activation.…

无序系统与神经网络 · 物理学 2007-05-23 Frank Emmert-Streib

Translating metabolic networks into dynamic models is difficult if kinetic constants are unknown. Structural Kinetic Modelling (SKM) replaces reaction elasticities by independent random numbers. Here I propose a variant that accounts for…

分子网络 · 定量生物学 2022-03-08 Wolfram Liebermeister

Precise spatio-temporal patterns of neuronal action potentials underly e.g. sensory representations and control of muscle activities. However, it is not known how the synaptic efficacies in the neuronal networks of the brain adapt such that…

神经元与认知 · 定量生物学 2015-02-24 Christian Albers , Maren Westkott , Klaus Pawelzik

Brain-inspired learning mechanisms, e.g. spike timing dependent plasticity (STDP), enable agile and fast on-the-fly adaptation capability in a spiking neural network. When incorporating emerging nanoscale resistive non-volatile memory (NVM)…

神经与进化计算 · 计算机科学 2020-02-19 Xinyu Wu , Vishal Saxena

The backpropagation algorithm has promoted the rapid development of deep learning, but it relies on a large amount of labeled data and still has a large gap with how humans learn. The human brain can quickly learn various conceptual…

神经与进化计算 · 计算机科学 2023-04-25 Yiting Dong , Dongcheng Zhao , Yang Li , Yi Zeng

Randomly connected networks of excitatory and inhibitory spiking neurons provide a parsimonious model of neural variability, but are notoriously unreliable for performing computations. We show that this difficulty is overcome by…

神经元与认知 · 定量生物学 2017-01-11 Ryan Pyle , Robert Rosenbaum

The brain is known to be a highly complex, asynchronous dynamical system that is highly tailored to encode temporal information. However, recent deep learning approaches to not take advantage of this temporal coding. Spiking Neural Networks…

神经与进化计算 · 计算机科学 2020-09-02 Matthew Evanusa , Cornelia Fermuller , Yiannis Aloimonos

Cortical networks can maintain memories for decades despite the short lifetime of synaptic strength. Can a neural network store long-lasting memories in unstable synapses? Here, we study the effects of random noise on the stability of…

神经元与认知 · 定量生物学 2012-06-01 Yi Wei , Alexei A. Koulakov

Spike-timing dependent plasticity (STDP) which observed in the brain has proven to be important in biological learning. On the other hand, artificial neural networks use a different way to learn, such as Back-Propagation or Contrastive…

神经与进化计算 · 计算机科学 2021-06-10 Shiyuan Li

We consider an excitatory population of subthreshold Izhikevich neurons which cannot fire spontaneously without noise. As the coupling strength passes a threshold, individual neurons exhibit noise-induced burstings. This neuronal population…

神经元与认知 · 定量生物学 2017-11-28 Sang-Yoon Kim , Woochang Lim

This article underlines the learning and discrimination capabilities of a model of associative memory based on artificial networks of spiking neurons. Inspired from neuropsychology and neurobiology, the model implements top-down…

神经与进化计算 · 计算机科学 2016-08-16 Anthony Mouraud , Hélène Paugam-Moisy

In realistic neural circuits, both neurons and synapses are coupled in dynamics with separate time scales. The circuit functions are intimately related to these coupled dynamics. However, it remains challenging to understand the intrinsic…

神经元与认知 · 定量生物学 2025-11-11 Wenkang Du , Haiping Huang

Spiking Neural Networks (SNNs) currently face a critical bottleneck: while individual neurons exhibit dynamic biological properties, their macro-scopic architectures remain confined within conventional connectivity patterns that are static…

神经与进化计算 · 计算机科学 2026-03-17 Yongsheng Huang , Peibo Duan , Yujie Wu , Kai Sun , Zhipeng Liu , Jiaxiang Liu , Guangyu Li , Changsheng Zhang , Bin Zhang , Mingkun Xu

The Rulkov model, which simulates the behavior of biological neurons, is modified by replacing one of its control parameters with a memristive, sigmoid-type function of finite memory. This modification causes the parameter to vary according…

混沌动力学 · 物理学 2026-01-21 Miguel Moreno , Alexandre R. Nieto , Miguel A. F. Sanjuán

The spatio-temporally periodic (STP) potential is interesting in Physics due to the intimate coupling between its time and spatial components. In this paper we begin with a brief discussion of the dynamical behaviors of a single particle in…

混沌动力学 · 物理学 2014-09-04 Owen D. Myers , Junru Wu , Jeffrey S. Marshall , Christopher M. Danforth

We consider the stochastic shortest path (SSP) problem for succinct Markov decision processes (MDPs), where the MDP consists of a set of variables, and a set of nondeterministic rules that update the variables. First, we show that several…

编程语言 · 计算机科学 2018-07-18 Krishnendu Chatterjee , Hongfei Fu , Amir Kafshdar Goharshady , Nastaran Okati

Synaptic memory is considered to be the main element responsible for learning and cognition in humans. Although traditionally non-volatile long-term plasticity changes have been implemented in nanoelectronic synapses for neuromorphic…

新兴技术 · 计算机科学 2017-12-20 Abhronil Sengupta , Kaushik Roy

Low-dimensional descriptions of neural network dynamics are an effective tool for bridging different scales of organization of brain structure and function. Recent advances in deriving mean-field descriptions for networks of coupled…

神经元与认知 · 定量生物学 2021-11-03 Richard Gast , Thomas R. Knösche , Helmut Schmidt

We present new theoretical foundations for unsupervised Spike-Timing-Dependent Plasticity (STDP) learning in spiking neural networks (SNNs). In contrast to empirical parameter search used in most previous works, we provide novel theoretical…

计算机视觉与模式识别 · 计算机科学 2022-02-23 Ali Safa , Ilja Ocket , André Bourdoux , Hichem Sahli , Francky Catthoor , Georges Gielen