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Spiking transformers achieve competitive accuracy with conventional transformers while offering $38$-$57\times$ energy efficiency on neuromorphic hardware, yet no theoretical framework guides their design. This paper establishes the first…

Machine Learning · Computer Science 2026-04-20 Dongxin Guo , Jikun Wu , Siu Ming Yiu

Spike-based neuromorphic hardware promises to reduce the energy consumption of image classification and other deep learning applications, particularly on mobile phones or other edge devices. However, direct training of deep spiking neural…

Neural and Evolutionary Computing · Computer Science 2021-01-27 Christoph Stöckl , Wolfgang Maass

Spiking Neural Networks (SNNs) compute and communicate with asynchronous binary temporal events that can lead to significant energy savings with neuromorphic hardware. Recent algorithmic efforts on training SNNs have shown competitive…

Computer Vision and Pattern Recognition · Computer Science 2021-10-18 Youngeun Kim , Priyadarshini Panda

It is currently not clear what the potential is of neuromorphic hardware beyond machine learning and neuroscience. In this project, a problem is investigated that is inherently difficult to fully implement in neuromorphic hardware by…

Neural and Evolutionary Computing · Computer Science 2019-12-02 Abdullahi Ali , Johan Kwisthout

Biologically-inspired Spiking Neural Networks (SNNs), processing information using discrete-time events known as spikes rather than continuous values, have garnered significant attention due to their hardware-friendly and energy-efficient…

Neural and Evolutionary Computing · Computer Science 2023-08-21 Bin Lei , Sheng Lin , Pei-Hung Lin , Chunhua Liao , Caiwen Ding

Artificial neural networks (ANNs) have been extensively used for the description of problems arising from biological systems and for constructing neuromorphic computing models. The third generation of ANNs, namely, spiking neural networks…

Neurons and Cognition · Quantitative Biology 2022-06-18 Thi Kim Thoa Thieu , Roderick Melnik

Spiking neural networks (SNNs) promise low-power event-driven computation for temporally rich tasks, but commonly used neuron models often trade off gradient-based trainability, dynamical richness, and high activity sparsity. These…

Neural and Evolutionary Computing · Computer Science 2026-05-13 Alex Fulleda-Garcia , Saray Soldado-Magraner , Josep Maria Margarit-Taulé

We propose reinforcement learning on simple networks consisting of random connections of spiking neurons (both recurrent and feed-forward) that can learn complex tasks with very little trainable parameters. Such sparse and randomly…

Machine Learning · Computer Science 2019-06-06 Wachirawit Ponghiran , Gopalakrishnan Srinivasan , Kaushik Roy

We consider a new class of non Markovian processes with a countable number of interacting components, both in discrete and continuous time. Each component is represented by a point process indicating if it has a spike or not at a given…

Neurons and Cognition · Quantitative Biology 2015-02-24 A. Galves , E. Löcherbach

We present a theoretical study aiming at model fitting for sensory neurons. Conventional neural network training approaches are not applicable to this problem due to lack of continuous data. Although the stimulus can be considered as a…

Neurons and Cognition · Quantitative Biology 2017-09-28 R. Ozgur Doruk , Kechen Zhang

Generic simulation code for spiking neuronal networks spends the major part of time in the phase where spikes have arrived at a compute node and need to be delivered to their target neurons. These spikes were emitted over the last interval…

Neurons and Cognition · Quantitative Biology 2022-03-14 Jari Pronold , Jakob Jordan , Brian J. N. Wylie , Itaru Kitayama , Markus Diesmann , Susanne Kunkel

We derive a synaptic weight update rule for learning temporally precise spike train to spike train transformations in multilayer feedforward networks of spiking neurons. The framework, aimed at seamlessly generalizing error backpropagation…

Neural and Evolutionary Computing · Computer Science 2016-01-11 Arunava Banerjee

Spiking neural networks (SNNs) exhibit temporal, sparse, and event-driven dynamics that make them appealing for efficient inference. However, extending these models to self-supervised regimes remains challenging because the discontinuities…

Emerging Technologies · Computer Science 2025-11-25 Chengwei Zhou , Gourav Datta

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

We train spiking deep networks using leaky integrate-and-fire (LIF) neurons, and achieve state-of-the-art results for spiking networks on the CIFAR-10 and MNIST datasets. This demonstrates that biologically-plausible spiking LIF neurons can…

Machine Learning · Computer Science 2015-10-30 Eric Hunsberger , Chris Eliasmith

Spiking Neural Networks are often touted as brain-inspired learning models for the third wave of Artificial Intelligence. Although recent SNNs trained with supervised backpropagation show classification accuracy comparable to deep networks,…

Neural and Evolutionary Computing · Computer Science 2022-11-09 Biswadeep Chakraborty , Saibal Mukhopadhyay

Finding spike-based learning algorithms that can be implemented within the local constraints of neuromorphic systems, while achieving high accuracy, remains a formidable challenge. Equilibrium Propagation is a promising alternative to…

Neural and Evolutionary Computing · Computer Science 2021-02-18 Erwann Martin , Maxence Ernoult , Jérémie Laydevant , Shuai Li , Damien Querlioz , Teodora Petrisor , Julie Grollier

We propose a framework for surrogate modelling of spiking systems. These systems are often described by stiff differential equations with high-amplitude oscillations and multi-timescale dynamics, making surrogate models an attractive tool…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Miguel Aguiar , Amritam Das , Karl H. Johansson

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

Spiking Neural Networks (SNNs) are widely regarded as a biologically-inspired and energy-efficient alternative to classical artificial neural networks. Yet, their theoretical foundations remain only partially understood. In this work, we…

Optimization and Control · Mathematics 2025-09-29 Umberto Biccari
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