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We provide rigorous and exact results characterizing the statistics of spike trains in a network of leaky integrate and fire neurons, where time is discrete and where neurons are submitted to noise, without restriction on the synaptic…

Dynamical Systems · Mathematics 2011-05-18 B. Cessac

Cells use temporal dynamical patterns to transmit information via signaling pathways. As optimality with respect to the environment plays a fundamental role in biological systems, organisms have evolved optimal ways to transmit information.…

Biological Physics · Physics 2016-12-21 Yoshihiko Hasegawa

Learning requires the traversal of inherently distinct cognitive states to produce behavioral adaptation. Yet, tools to explicitly measure these states with non-invasive imaging -- and to assess their dynamics during learning -- remain…

We study a pulse-coupled dynamics of excitable elements in uncorrelated scale-free networks. Regimes of self-sustained activity are found for homogeneous and inhomogeneous couplings, in which the system displays a wide variety of behaviors,…

Neurons and Cognition · Quantitative Biology 2017-03-10 P. Piedrahita , J. J. Mazo , L. M. Floría , Y. Moreno

The combination of spiking neural networks and event-based vision sensors holds the potential of highly efficient and high-bandwidth optical flow estimation. This paper presents the first hierarchical spiking architecture in which motion…

Computer Vision and Pattern Recognition · Computer Science 2019-03-29 Federico Paredes-Vallés , Kirk Y. W. Scheper , Guido C. H. E. de Croon

Children possess the ability to learn multiple cognitive tasks sequentially, which is a major challenge toward the long-term goal of artificial general intelligence. Existing continual learning frameworks are usually applicable to Deep…

Artificial Intelligence · Computer Science 2023-08-10 Bing Han , Feifei Zhao , Yi Zeng , Wenxuan Pan , Guobin Shen

Analytical expressions are put forward to investigate the forced spiking activity of abstract neuron models such as the driven leaky integrate-and-fire (LIF) model. The method is valid in a wide parameter regime beyond the restraining…

Neurons and Cognition · Quantitative Biology 2007-05-23 Michael Schindler , Peter Talkner , Peter Hänggi

Understanding how the brain learns to compute functions reliably, efficiently and robustly with noisy spiking activity is a fundamental challenge in neuroscience. Most sensory and motor tasks can be described as dynamical systems and could…

Neurons and Cognition · Quantitative Biology 2017-05-24 Sophie Denève , Alireza Alemi , Ralph Bourdoukan

Single trial analyses of ensemble activity in alert animals demonstrate that cortical circuits dynamics evolve through temporal sequences of metastable states. Metastability has been studied for its potential role in sensory coding, memory…

Neurons and Cognition · Quantitative Biology 2016-03-23 Luca Mazzucato , Alfredo Fontanini , Giancarlo La Camera

We develop a dynamical systems approach to prioritizing and selecting multiple recurring tasks with the aim of conferring a degree of deliberative goal selection to a mobile robot confronted with competing objectives. We take navigation as…

Dynamical Systems · Mathematics 2018-03-12 Paul B. Reverdy , Daniel E. Koditschek

Cortical activity in-vivo displays relaxational time scales much longer than the membrane time constant of the neurons or the deactivation time of ionotropic synaptic conductances. The mechanisms responsible for such slow dynamics are not…

Disordered Systems and Neural Networks · Physics 2025-08-07 Ferdinand Tixidre , Gianluigi Mongillo , Alessandro Torcini

Artificial spiking neural networks have found applications in areas where the temporal nature of activation offers an advantage, such as time series prediction and signal processing. To improve their efficiency, spiking architectures often…

In computer simulations of spiking neural networks, often it is assumed that every two neurons of the network are connected by a probability of 2\%, 20\% of neurons are inhibitory and 80\% are excitatory. These common values are based on…

Neurons and Cognition · Quantitative Biology 2015-03-06 Hamed Seyed-allaei

Spiking neural networks have shown much promise as an energy-efficient alternative to artificial neural networks. However, understanding the impacts of sensor noises and input encodings on the network activity and performance remains…

Computer Vision and Pattern Recognition · Computer Science 2022-06-15 Sami Barchid , José Mennesson , Jason Eshraghian , Chaabane Djéraba , Mohammed Bennamoun

Spiking Neural Networks (SNNs) are highly energy-efficient due to event-driven, sparse computation, but their training is challenged by spike non-differentiability and trade-offs among performance, efficiency, and biological plausibility.…

Neural and Evolutionary Computing · Computer Science 2026-01-30 Zihan Huang , Zijie Xu , Yihan Huang , Shanshan Jia , Tong Bu , Yiting Dong , Wenxuan Liu , Jianhao Ding , Zhaofei Yu , Tiejun Huang

We propose a biologically inspired model of spiking neurons based on the dynamics of a damped, driven pendulum. Unlike traditional models such as the Leaky Integrate-and-Fire (LIF) neurons, the pendulum neuron incorporates second-order,…

Neural and Evolutionary Computing · Computer Science 2025-07-31 Joy Bose

Dynamics of a chaotic spiking neuron model are being studied mathematically and experimentally. The Nonlinear Dynamic State neuron (NDS) is analysed to further understand the model and improve it. Chaos has many interesting properties such…

Artificial Intelligence · Computer Science 2013-10-29 Mohammad Alhawarat , Waleed Nazih , Mohammad Eldesouki

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…

Neurons and Cognition · Quantitative Biology 2017-01-11 Ryan Pyle , Robert Rosenbaum

This paper studies the distributed average tracking problem for multiple time-varying signals generated by linear dynamics, whose reference inputs are nonzero and not available to any agent in the network. In the edge-based framework, a…

Systems and Control · Computer Science 2016-07-01 Yu Zhao , Yongfang Liu , Zhongkui Li , Zhisheng Duan

Recently there has been much work on selective sampling, an online active learning setting, in which algorithms work in rounds. On each round an algorithm receives an input and makes a prediction. Then, it can decide whether to query a…

Machine Learning · Computer Science 2014-02-18 Edward Moroshko , Koby Crammer