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Here we numerically study a model of excitable media, namely, a network with occasionally quiet nodes and connection weights that vary with activity on a short-time scale. Even in the absence of stimuli, this exhibits unstable dynamics,…

Disordered Systems and Neural Networks · Physics 2015-05-19 S. de Franciscis , J. J. Torres , J. Marro

Experimental research has shown that the brain's fast electrochemical dynamics, or neurodynamics (ND), is strongly stochastic, chaotic, and instanton (neuroavalanche)-dominated. It is also partly scale-invariant which has been loosely…

Neurons and Cognition · Quantitative Biology 2021-02-09 Igor V. Ovchinnikov , Skirmantas Janusonis

Neural variability plays a central role in neural coding and neuronal network dynamics. Unreliability of synaptic transmission is a major source of neural variability: synaptic neurotransmitter vesicles are released probabilistically in…

Neurons and Cognition · Quantitative Biology 2012-10-29 Steven Reich , Robert Rosenbaum

Spiking Neural Networks (SNNs), recognized for their biological plausibility and energy efficiency, employ sparse and asynchronous spikes for communication. However, the training of SNNs encounters difficulties coming from…

Neurons and Cognition · Quantitative Biology 2024-05-09 Sushant Yadav , Santosh Chaudhary , Rajesh Kumar

The collective dynamics of excitatory pulse coupled neurons with spike timing dependent plasticity (STDP) is studied. The introduction of STDP induces persistent irregular oscillations between strongly and weakly synchronized states,…

Neurons and Cognition · Quantitative Biology 2013-05-21 Kaare Mikkelsen , Alberto Imparato , Alessandro Torcini

Neural dynamical systems with stable attractor structures, such as point attractors and continuous attractors, are hypothesized to underlie meaningful temporal behavior that requires working memory. However, working memory may not support…

Neurons and Cognition · Quantitative Biology 2023-08-25 Il Memming Park , Ábel Ságodi , Piotr Aleksander Sokół

In Coevolving Latent Space Networks with Attractors (CLSNA) models, nodes in a latent space represent social actors, and edges indicate their dynamic interactions. Attractors are added at the latent level to capture the notion of attractive…

Spiking Neural Networks (SNNs), as one of the algorithmic models in neuromorphic computing, have gained a great deal of research attention owing to temporal information processing capability, low power consumption, and high biological…

Neural and Evolutionary Computing · Computer Science 2023-06-07 Chengting Yu , Zheming Gu , Da Li , Gaoang Wang , Aili Wang , Erping Li

Continuous attractors have been used to understand recent neuroscience experiments where persistent activity patterns encode internal representations of external attributes like head direction or spatial location. However, the conditions…

Disordered Systems and Neural Networks · Physics 2019-01-01 Weishun Zhong , Zhiyue Lu , David J Schwab , Arvind Murugan

Synaptic plasticity poses itself as a powerful method of self-regulated unsupervised learning in neural networks. A recent resurgence of interest has developed in utilizing Artificial Neural Networks (ANNs) together with synaptic plasticity…

Neural and Evolutionary Computing · Computer Science 2021-11-09 Samuel Schmidgall , Joe Hays

The distinct timescales of synaptic plasticity and neural activity dynamics play an important role in the brain's learning and memory systems. Activity-dependent plasticity reshapes neural circuit architecture, determining spontaneous and…

Neurons and Cognition · Quantitative Biology 2023-06-30 Heather L Cihak , Zachary P Kilpatrick

Noise-delayed decay (NDD) phenomenon emerges when the first-spike latency of a periodically forced stochastic neuron exhibits a maximum for a particular range of noise intensity. Here, we investigate the latency response dynamics of a…

Neurons and Cognition · Quantitative Biology 2015-12-23 M. Uzuntarla , M. Ozer , U. Ileri , A. Calim , J. J. Torres

Parkinson's disease (PD) belongs to the class of neurodegenerative disorders that affect the central nervous system. It is usually defined as the gradual loss of dopaminergic neurons in the substantia nigra pars compacta, which causes both…

Neurons and Cognition · Quantitative Biology 2024-11-01 Hina Shaheen , Roderick Melnik

Traffic forecasting is one canonical example of spatial-temporal learning task in Intelligent Traffic System. Existing approaches capture spatial dependency with a pre-determined matrix in graph convolution neural operators. However, the…

Machine Learning · Computer Science 2022-06-08 Chen Weikang , Li Yawen , Xue Zhe , Li Ang , Wu Guobin

Spatiotemporal Traffic Data (STTD) measures the complex dynamical behaviors of the multiscale transportation system. Existing methods aim to reconstruct STTD using low-dimensional models. However, they are limited to data-specific…

Machine Learning · Computer Science 2024-10-25 Tong Nie , Guoyang Qin , Wei Ma , Jian Sun

Neural processes (NPs) learn stochastic processes and predict the distribution of target output adaptively conditioned on a context set of observed input-output pairs. Furthermore, Attentive Neural Process (ANP) improved the prediction…

Machine Learning · Computer Science 2019-10-22 Shenghao Qin , Jiacheng Zhu , Jimmy Qin , Wenshuo Wang , Ding Zhao

Attractors of dynamical systems may be networks in phase space that can be heteroclinic (where there are dynamical connections between simple invariant sets) or excitable (where a perturbation threshold needs to be crossed to a dynamical…

Adaptation and Self-Organizing Systems · Physics 2018-04-24 Peter Ashwin , Claire Postlethwaite

This paper proposes a novel stable learning theory for recurrent neural networks (RNNs), so-called variational adaptive noise and dropout (VAND). As stabilizing factors for RNNs, noise and dropout on the internal state of RNNs have been…

Machine Learning · Computer Science 2026-02-25 Taisuke Kobayashi , Shingo Murata

Short-term synaptic depression and facilitation have been found to greatly influence the performance of autoassociative neural networks. However, only partial results, focused for instance on the computation of the maximum storage capacity…

Disordered Systems and Neural Networks · Physics 2015-06-03 J. F. Mejias , B. Hernandez-Gomez , J. J. Torres

Spike-timing-dependent plasticity (STDP) has recently been shown in some physiological studies. STDP depends on the precise temporal relationship of pre- and post-synaptic spikes. Many authors have indicated that a precise balance between…

Disordered Systems and Neural Networks · Physics 2009-11-07 Narihisa Matsumoto , Masato Okada