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The synergy between spiking neural networks and neuromorphic hardware holds promise for the development of energy-efficient AI applications. Inspired by this potential, we revisit the foundational aspects to study the capabilities of…

Neural and Evolutionary Computing · Computer Science 2024-03-18 Manjot Singh , Adalbert Fono , Gitta Kutyniok

Spiking activity of neurons engaged in learning and performing a task show complex spatiotemporal dynamics. While the output of recurrent network models can learn to perform various tasks, the possible range of recurrent dynamics that…

Neurons and Cognition · Quantitative Biology 2018-08-21 Christopher Kim , Carson Chow

Spiking neural networks are a type of artificial neural networks in which communication between neurons is only made of events, also called spikes. This property allows neural networks to make asynchronous and sparse computations and…

Neural and Evolutionary Computing · Computer Science 2024-05-07 Florent De Geeter , Damien Ernst , Guillaume Drion

There has been significant research over the past two decades in developing new platforms for spiking neural computation. Current neural computers are primarily developed to mimick biology. They use neural networks which can be trained to…

Neural and Evolutionary Computing · Computer Science 2015-07-23 Xavier Lagorce , Ryad Benosman

The timing of individual neuronal spikes is essential for biological brains to make fast responses to sensory stimuli. However, conventional artificial neural networks lack the intrinsic temporal coding ability present in biological…

Neural and Evolutionary Computing · Computer Science 2020-11-18 Iulia M. Comsa , Krzysztof Potempa , Luca Versari , Thomas Fischbacher , Andrea Gesmundo , Jyrki Alakuijala

A major goal of neuroscience, statistical physics and nonlinear dynamics is to understand how brain function arises from the collective dynamics of networks of spiking neurons. This challenge has been chiefly addressed through large-scale…

Neurons and Cognition · Quantitative Biology 2015-06-23 Ernest Montbrió , Diego Pazó , Alex Roxin

In this article, we review a class of neuro-mimetic computational models that we place under the label of spiking predictive coding. Specifically, we review the general framework of predictive processing in the context of neurons that emit…

Neurons and Cognition · Quantitative Biology 2024-09-10 Antony W. N'dri , William Gebhardt , Céline Teulière , Fleur Zeldenrust , Rajesh P. N. Rao , Jochen Triesch , Alexander Ororbia

Deep learning's success comes with growing energy demands, raising concerns about the long-term sustainability of the field. Spiking neural networks, inspired by biological neurons, offer a promising alternative with potential computational…

Neural and Evolutionary Computing · Computer Science 2025-03-05 Adalbert Fono , Manjot Singh , Ernesto Araya , Philipp C. Petersen , Holger Boche , Gitta Kutyniok

Efficient planning and sequence selection are central to intelligence, yet current approaches remain largely incompatible with biological computation. Classical graph algorithms like Dijkstra's or A* require global state and biologically…

Neural and Evolutionary Computing · Computer Science 2026-01-21 Simen Storesund , Kristian Valset Aars , Robin Dietrich , Nicolai Waniek

A single neuron is known to generate almost identical spike trains when the same fluctuating input is repeatedly applied. Here, we study the reliability of spike firing in a pulse-coupled network of oscillator neurons receiving fluctuating…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Jun-nosuke Teramae , Tomoki Fukai

Deep feedforward and recurrent rate-based neural networks have become successful functional models of the brain, but they neglect obvious biological details such as spikes and Dale's law. Here we argue that these details are crucial in…

Neurons and Cognition · Quantitative Biology 2023-12-29 William F. Podlaski , Christian K. Machens

Top-down feedback in cortex is critical for guiding sensory processing, which has prominently been formalized in the theory of hierarchical predictive coding (hPC). However, experimental evidence for error units, which are central to the…

Neurons and Cognition · Quantitative Biology 2022-11-23 Fabian A. Mikulasch , Lucas Rudelt , Michael Wibral , Viola Priesemann

In the last century, most sensorimotor studies of cortical neurons relied on average firing rates. Rate coding is efficient for fast sensorimotor processing that occurs within a few seconds. Much less is known about the neural mechanisms…

Neurons and Cognition · Quantitative Biology 2026-05-01 Terrence J. Sejnowski

The present paper provides exact mathematical expressions for the high-order moments of spiking activity in a recurrently-connected network of linear Hawkes processes. It extends previous studies that have explored the case of a (linear)…

Neurons and Cognition · Quantitative Biology 2019-12-17 Matthieu Gilson , Jean-Pascal Pfister

In spiking neural networks, the information is conveyed by the spike times, that depend on the intrinsic dynamics of each neuron, the input they receive and on the connections between neurons. In this article we study the Markovian nature…

Applications · Statistics 2012-11-07 Jonathan Touboul , Olivier Faugeras

Spiking neural networks (SNNs) are investigated as biologically inspired models of neural computation, distinguished by their computational capability and energy efficiency due to precise spiking times and sparse spikes with event-driven…

Neural and Evolutionary Computing · Computer Science 2024-05-28 Mingqing Xiao , Yixin Zhu , Di He , Zhouchen Lin

Cortical neurons include many sub-cellular processes, operating at multiple timescales, which may affect their response to stimulation through non-linear and stochastic interaction with ion channels and ionic concentrations. Since new…

Neurons and Cognition · Quantitative Biology 2014-05-01 Daniel Soudry , Ron Meir

We propose a novel backpropagation algorithm for training spiking neural networks (SNNs) that encodes information in the relative multiple spike timing of individual neurons without single-spike restrictions. The proposed algorithm inherits…

Neural and Evolutionary Computing · Computer Science 2026-05-15 Kakei Yamamoto , Yusuke Sakemi , Kazuyuki Aihara

Spiking neural networks (SNNs), inspired by the spiking behavior of biological neurons, provide a unique pathway for capturing the intricacies of temporal data. However, applying SNNs to time-series forecasting is challenging due to…

Neural and Evolutionary Computing · Computer Science 2024-05-30 Changze Lv , Yansen Wang , Dongqi Han , Xiaoqing Zheng , Xuanjing Huang , Dongsheng Li

We address the problem of finding patterns from multi-neuronal spike trains that give us insights into the multi-neuronal codes used in the brain and help us design better brain computer interfaces. We focus on the synchronous firings of…

Neural and Evolutionary Computing · Computer Science 2010-06-09 Raajay Viswanathan , P. S. Sastry , K. P. Unnikrishnan