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Spiking neural networks (SNNs) are brain-inspired models that enable energy-efficient implementation on neuromorphic hardware. However, the supervised training of SNNs remains a hard problem due to the discontinuity of the spiking neuron…

Neural and Evolutionary Computing · Computer Science 2021-12-20 Mingqing Xiao , Qingyan Meng , Zongpeng Zhang , Yisen Wang , Zhouchen Lin

Spiking neural networks (SNNs) represent a promising approach in machine learning, combining the hierarchical learning capabilities of deep neural networks with the energy efficiency of spike-based computations. Traditional end-to-end…

Neural and Evolutionary Computing · Computer Science 2024-11-12 Ruyin Wan , Qian Zhang , George Em Karniadakis

Recurrent spiking neural networks (RSNNs) can be implemented very efficiently in neuromorphic systems. Nevertheless, training of these models with powerful gradient-based learning algorithms is mostly performed on standard digital hardware…

Neural and Evolutionary Computing · Computer Science 2025-06-18 Maximilian Baronig , Yeganeh Bahariasl , Ozan Özdenizci , Robert Legenstein

We introduce Gradient Equilibrium Propagation (GradEP), a mechanism that extends Equilibrium Propagation (EP) to train energy gradients rather than energy minima, enabling EP to be applied to tasks where the learning objective depends on…

Disordered Systems and Neural Networks · Physics 2026-05-26 Alex Gower

Spiking Neural Networks (SNNs) operate with asynchronous discrete events (or spikes) which can potentially lead to higher energy-efficiency in neuromorphic hardware implementations. Many works have shown that an SNN for inference can be…

Machine Learning · Computer Science 2020-05-06 Nitin Rathi , Gopalakrishnan Srinivasan , Priyadarshini Panda , Kaushik Roy

Spiking neural networks (SNNs) well support spatiotemporal learning and energy-efficient event-driven hardware neuromorphic processors. As an important class of SNNs, recurrent spiking neural networks (RSNNs) possess great computational…

Neural and Evolutionary Computing · Computer Science 2020-02-25 Wenrui Zhang , Peng Li

Spiking Neural Networks (SNNs) provide an efficient framework for processing dynamic spatio-temporal signals and for investigating the learning principles underlying biological neural systems. A key challenge in training SNNs is to solve…

Machine Learning · Computer Science 2025-10-20 Lorenzo Pes , Bojian Yin , Sander Stuijk , Federico Corradi

Spiking Neural Networks (SNNs) have been proposed as biologically plausible and energy-efficient alternatives to conventional Artificial Neural Networks (ANNs). However, the training of SNN usually relies on surrogate gradients due to the…

Neural and Evolutionary Computing · Computer Science 2026-05-11 Himanshu Udupi , Xiaocong Yang , ChengXiang Zhai

Recurrent spiking neural networks (RSNNs) hold great potential for advancing artificial general intelligence, as they draw inspiration from the biological nervous system and show promise in modeling complex dynamics. However, the…

Neural and Evolutionary Computing · Computer Science 2023-05-30 Guan Wang , Yuhao Sun , Sijie Cheng , Sen Song

Spiking neural networks (SNN) are delivering energy-efficient, massively parallel, and low-latency solutions to AI problems, facilitated by the emerging neuromorphic chips. To harness these computational benefits, SNN need to be trained by…

Neural and Evolutionary Computing · Computer Science 2021-10-28 Guangzhi Tang , Neelesh Kumar , Ioannis Polykretis , Konstantinos P. Michmizos

We recently proposed the STiDi-BP algorithm, which avoids backward recursive gradient computation, for training multi-layer spiking neural networks (SNNs) with single-spike-based temporal coding. The algorithm employs a linear approximation…

Neural and Evolutionary Computing · Computer Science 2021-09-01 Maryam Mirsadeghi , Majid Shalchian , Saeed Reza Kheradpisheh , Timothée Masquelier

The spiking neural network (SNN) mimics the information processing operation in the human brain, represents and transmits information in spike trains containing wealthy spatial and temporal information, and shows superior performance on…

Neural and Evolutionary Computing · Computer Science 2021-10-25 Guobin Shen , Dongcheng Zhao , Yi Zeng

Equilibrium propagation (EP) is a training framework for energy-based systems, i.e. systems whose physics minimizes an energy function. EP has been explored in various classical physical systems such as resistor networks, elastic networks,…

Quantum Physics · Physics 2024-06-04 Benjamin Scellier

Exact inference in the linear regression model with spike and slab priors is often intractable. Expectation propagation (EP) can be used for approximate inference. However, the regular sequential form of EP (R-EP) may fail to converge in…

Machine Learning · Statistics 2011-12-13 José Miguel Hernández-Lobato , Daniel Hernández-Lobato

Spiking Neural Networks (SNNs) are being explored for their potential energy efficiency resulting from sparse, event-driven computations. Many recent works have demonstrated effective backpropagation for deep Spiking Neural Networks (SNNs)…

Neural and Evolutionary Computing · Computer Science 2020-03-04 Jason M. Allred , Steven J. Spencer , Gopalakrishnan Srinivasan , Kaushik Roy

We introduce Equilibrium Propagation, a learning framework for energy-based models. It involves only one kind of neural computation, performed in both the first phase (when the prediction is made) and the second phase of training (after the…

Machine Learning · Computer Science 2017-03-30 Benjamin Scellier , Yoshua Bengio

Spiking neural networks (SNNs) have garnered a great amount of interest for supervised and unsupervised learning applications. This paper deals with the problem of training multi-layer feedforward SNNs. The non-linear integrate-and-fire…

Neural and Evolutionary Computing · Computer Science 2019-07-30 Navin Anwani , Bipin Rajendran

Spiking neural networks (SNNs) are receiving increased attention because they mimic synaptic connections in biological systems and produce spike trains, which can be approximated by binary values for computational efficiency. Recently, the…

Neural and Evolutionary Computing · Computer Science 2024-03-26 Nathan Lutes , Venkata Sriram Siddhardh Nadendla , K. Krishnamurthy

In this paper, we propose a unifying message-passing framework for training spiking neural networks (SNNs) using Expectation-Propagation. Our gradient-free method is capable of learning the marginal distributions of network parameters and…

Machine Learning · Computer Science 2025-07-01 Dan Yao , Steve McLaughlin , Yoann Altmann

Configuring deep Spiking Neural Networks (SNNs) is an exciting research avenue for low power spike event based computation. However, the spike generation function is non-differentiable and therefore not directly compatible with the standard…

Neural and Evolutionary Computing · Computer Science 2018-10-23 Sumit Bam Shrestha , Garrick Orchard