Enabling Spike-based Backpropagation for Training Deep Neural Network Architectures
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Abstract (arXiv)
Spiking Neural Networks (SNNs) have recently emerged as a prominent neural computing paradigm. However, the typical shallow SNN architectures have limited capacity for expressing complex representations while training deep SNNs using input spikes has not been successful so far. Diverse methods have been proposed to get around this issue such as converting off-the-shelf trained deep Artificial Neural Networks (ANNs) to SNNs. However, the ANN-SNN conversion scheme fails to capture the temporal dynamics of a spiking system. On the other hand, it is still a difficult problem to directly train deep SNNs using input spike events due to the discontinuous, non-differentiable nature of the spike generation function. To overcome this problem, we propose an approximate derivative method that accounts for the leaky behavior of LIF neurons. This method enables training deep convolutional SNNs directly (with input spike events) using spike-based backpropagation. Our experiments show the effectiveness of the proposed spike-based learning on deep networks (VGG and Residual architectures) by achieving the best classification accuracies in MNIST, SVHN and CIFAR-10 datasets compared to other SNNs trained with a spike-based learning. Moreover, we analyze sparse event-based computations to demonstrate the efficacy of the proposed SNN training method for inference operation in the spiking domain.
Key facts. Cited by 119 papers in the map (data through 7 Oct 2026). First posted on arXiv 15 Mar 2019.
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Citing papers per year: 2021: 23; 2022: 27; 2023: 29; 2024: 21; 2025: 15; 2026: 4.
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- 2022Spikformer: When Spiking Neural Network Meets Transformercited by 263
- 2023SpikingJelly: An open-source machine learning infrastructure platform for spike-based intelligencecited by 163
- 2022Recurrent Vision Transformers for Object Detection with Event Camerascited by 158
- 2022Training High-Performance Low-Latency Spiking Neural Networks by Differentiation on Spike Representationcited by 89
- 2021HIRE-SNN: Harnessing the Inherent Robustness of Energy-Efficient Deep Spiking Neural Networks by Training with Crafted Input Noisecited by 61
- 2022Event-based Video Reconstruction via Potential-assisted Spiking Neural Networkcited by 58
- 2022Neural Architecture Search for Spiking Neural Networkscited by 52
- 2021Pruning of Deep Spiking Neural Networks through Gradient Rewiringcited by 41
- 2022AutoSNN: Towards Energy-Efficient Spiking Neural Networkscited by 40
- 2021Training Feedback Spiking Neural Networks by Implicit Differentiation on the Equilibrium Statecited by 39
- 2022Optimized Potential Initialization for Low-latency Spiking Neural Networkscited by 39
- 2023Membrane Potential Batch Normalization for Spiking Neural Networkscited by 35
38 more
- 2021A Fully Spiking Hybrid Neural Network for Energy-Efficient Object Detectioncited by 31
- 2021EventDrop: data augmentation for event-based learningcited by 28
- 2024Spikformer V2: Join the High Accuracy Club on ImageNet with an SNN Ticketcited by 28
- 2023RMP-Loss: Regularizing Membrane Potential Distribution for Spiking Neural Networkscited by 27
- 2021Visual Explanations from Spiking Neural Networks using Interspike Intervalscited by 26
- 2023Training Full Spike Neural Networks via Auxiliary Accumulation Pathwaycited by 26
- 2022Exploring Lottery Ticket Hypothesis in Spiking Neural Networkscited by 25
- 2022Rate Coding or Direct Coding: Which One is Better for Accurate, Robust, and Energy-efficient Spiking Neural Networks?cited by 24
- 2022Exploring Temporal Information Dynamics in Spiking Neural Networkscited by 23
- 2021Backpropagation with Biologically Plausible Spatio-Temporal Adjustment For Training Deep Spiking Neural Networkscited by 22
- 2022Real Spike: Learning Real-valued Spikes for Spiking Neural Networkscited by 22
- 2022Multi-Level Firing with Spiking DS-ResNet: Enabling Better and Deeper Directly-Trained Spiking Neural Networkscited by 21
- 2023Spiking Denoising Diffusion Probabilistic Modelscited by 18
- 2021One Timestep is All You Need: Training Spiking Neural Networks with Ultra Low Latencycited by 17
- 2021PrivateSNN: Privacy-Preserving Spiking Neural Networkscited by 15
- 2021Spiking Neural Networks for Visual Place Recognition via Weighted Neuronal Assignmentscited by 14
- 2021BSNN: Towards Faster and Better Conversion of Artificial Neural Networks to Spiking Neural Networks with Bistable Neuronscited by 12
- 2024SpikeNAS: A Fast Memory-Aware Neural Architecture Search Framework for Spiking Neural Network-based Embedded AI Systemscited by 12
- 2024LMUFormer: Low Complexity Yet Powerful Spiking Model With Legendre Memory Unitscited by 11
- 2025STAA-SNN: Spatial-Temporal Attention Aggregator for Spiking Neural Networkscited by 11
- 2021Keys to Accurate Feature Extraction Using Residual Spiking Neural Networkscited by 10
- 2021Can Deep Neural Networks be Converted to Ultra Low-Latency Spiking Neural Networks?cited by 9
- 2023Spikingformer: A Key Foundation Model for Spiking Neural Networkscited by 9
- 2023Applications of Spiking Neural Networks in Visual Place Recognitioncited by 9
- 2024Enhancing Adversarial Robustness in SNNs with Sparse Gradientscited by 9
- 2023Spiking Neural Networks and Bio-Inspired Supervised Deep Learning: A Surveycited by 8
- 2024Autaptic Synaptic Circuit Enhances Spatio-temporal Predictive Learning of Spiking Neural Networkscited by 8
- 2021Towards Low-Latency Energy-Efficient Deep SNNs via Attention-Guided Compressioncited by 7
- 2022Ensembles of Compact, Region-specific & Regularized Spiking Neural Networks for Scalable Place Recognitioncited by 7
- 2023Efficient Deep Spiking Multi-Layer Perceptrons with Multiplication-Free Inferencecited by 7
- 2023Adversarially Robust Spiking Neural Networks Through Conversioncited by 7
- 2024EvSegSNN: Neuromorphic Semantic Segmentation for Event Datacited by 7
- 2021Spike time displacement based error backpropagation in convolutional spiking neural networkscited by 6
- 2022Rethinking the role of normalization and residual blocks for spiking neural networkscited by 6
- 2022Converting Artificial Neural Networks to Spiking Neural Networks via Parameter Calibrationcited by 6
- 2022SNN2ANN: A Fast and Memory-Efficient Training Framework for Spiking Neural Networkscited by 6
- 2023KLIF: An optimized spiking neuron unit for tuning surrogate gradient slope and membrane potentialcited by 6
- 2023MT-SNN: Enhance Spiking Neural Network with Multiple Thresholdscited by 6
50 most cited of 119 All 119 (JSON)
- 2026Learnable Burst Quantization for Expressive and Efficient Spiking Neural Networks28 Apr 2026
- 2026BSViT: A Burst Spiking Vision Transformer for Expressive and Efficient Visual Representation Learning25 Apr 2026
- 2026Robust Spiking Neural Networks Against Adversarial Attacks24 Feb 2026
- 2026Efficient Aspect Term Extraction using Spiking Neural Network10 Jan 2026
- 2025New Spiking Architecture for Multi-Modal Decision-Making in Autonomous Vehicles1 Dec 2025
- 2025Hybrid Layer-Wise ANN-SNN With Surrogate Spike Encoding-Decoding Structure29 Sep 2025
- 2025Color Spike Data Generation via Bio-inspired Neuron-like Encoding with an Artificial Photoreceptor Layer19 Aug 2025
- 2025WD-DETR: Wavelet Denoising-Enhanced Real-Time Object Detection Transformer for Robot Perception with Event Cameras10 Jun 2025
- 2025Improving Performance of Spike-based Deep Q-Learning using Ternary Neurons3 Jun 2025
- 2025Adversarially Robust Spiking Neural Networks with Sparse Connectivity16 May 2025
- 2025Efficient ANN-SNN Conversion with Error Compensation Learning12 May 2025
- 2025TS-SNN: Temporal Shift Module for Spiking Neural Networks7 May 2025
38 more
- 2025PASCAL: Precise and Efficient ANN- SNN Conversion using Spike Accumulation and Adaptive Layerwise Activation3 May 2025
- 2025SPACE: SPike-Aware Consistency Enhancement for Test-Time Adaptation in Spiking Neural Networks3 Apr 2025
- 2025Underwater Image Enhancement by Convolutional Spiking Neural Networks26 Mar 2025
- 2025STAA-SNN: Spatial-Temporal Attention Aggregator for Spiking Neural Networks4 Mar 2025
- 2025Spiking Neural Network Feature Discrimination Boosts Modality Fusion5 Feb 2025
- 2025Intelligent Sensing-to-Action for Robust Autonomy at the Edge: Opportunities and Challenges4 Feb 2025
- 2025Improving vision-language alignment with graph spiking hybrid Networks31 Jan 2025
- 2024Biologically-inspired Semi-supervised Semantic Segmentation for Biomedical Imaging4 Dec 2024
- 2024Gated Parametric Neuron for Spike-based Audio Recognition2 Dec 2024
- 2024Brain-inspired Action Generation with Spiking Transformer Diffusion Policy Model15 Nov 2024
- 2024Differentiable architecture search with multi-dimensional attention for spiking neural networks1 Nov 2024
- 2024Fractional-order spike-timing-dependent gradient descent for multi-layer spiking neural networks20 Oct 2024
- 2024Spiking Diffusion Models29 Aug 2024
- 2024NeuroNAS: Enhancing Efficiency of Neuromorphic In-Memory Computing for Intelligent Mobile Agents through Hardware-Aware Spiking Neural Architecture Search30 Jun 2024
- 2024SVFormer: A Direct Training Spiking Transformer for Efficient Video Action Recognition21 Jun 2024
- 2024EvSegSNN: Neuromorphic Semantic Segmentation for Event Data20 Jun 2024
- 2024CADE: Cosine Annealing Differential Evolution for Spiking Neural Network4 Jun 2024
- 2024Toward Efficient Deep Spiking Neuron Networks:A Survey On Compression3 Jun 2024
- 2024Autaptic Synaptic Circuit Enhances Spatio-temporal Predictive Learning of Spiking Neural Networks1 Jun 2024
- 2024Enhancing Adversarial Robustness in SNNs with Sparse Gradients30 May 2024
- 2024MK-SGN: A Spiking Graph Convolutional Network with Multimodal Fusion and Knowledge Distillation for Skeleton-based Action Recognition16 Apr 2024
- 2024A Neuromorphic Approach to Obstacle Avoidance in Robot Manipulation8 Apr 2024
- 2024SpiKernel: A Kernel Size Exploration Methodology for Improving Accuracy of the Embedded Spiking Neural Network Systems2 Apr 2024
- 2024Fourier or Wavelet bases as counterpart self-attention in spikformer for efficient visual classification27 Mar 2024
- 2024SpikeNAS: A Fast Memory-Aware Neural Architecture Search Framework for Spiking Neural Network-based Embedded AI Systems17 Feb 2024
- 2024SNNLP: Energy-Efficient Natural Language Processing Using Spiking Neural Networks31 Jan 2024
- 2024LMUFormer: Low Complexity Yet Powerful Spiking Model With Legendre Memory Units20 Jan 2024
- 2024Spikformer V2: Join the High Accuracy Club on ImageNet with an SNN Ticket4 Jan 2024
- 2023Memory-Efficient Reversible Spiking Neural Networks13 Dec 2023
- 2023Fully Spiking Denoising Diffusion Implicit Models4 Dec 2023
- 2023Spiking Neural Networks with Dynamic Time Steps for Vision Transformers28 Nov 2023
- 2023Applications of Spiking Neural Networks in Visual Place Recognition22 Nov 2023
- 2023Adversarially Robust Spiking Neural Networks Through Conversion15 Nov 2023
- 2023Brain-Inspired Spiking Neural Networks for Industrial Fault Diagnosis: A Survey, Challenges, and Opportunities13 Nov 2023
- 2023SpikingJelly: An open-source machine learning infrastructure platform for spike-based intelligence25 Oct 2023
- 2023Event-Driven Imaging in Turbid Media: A Confluence of Optoelectronics and Neuromorphic Computation13 Sep 2023
- 2023Brain-inspired Evolutionary Architectures for Spiking Neural Networks11 Sep 2023
- 2023HoSNN: Adversarially-Robust Homeostatic Spiking Neural Networks with Adaptive Firing Thresholds20 Aug 2023
50 newest of 119 All 119 (JSON)
- 2023Spiking Denoising Diffusion Probabilistic Modelscited by 18
- 2024Spiking Diffusion Modelscited by 3
- 2023Fully Spiking Denoising Diffusion Implicit Modelscited by 2
- 2024Brain-inspired Action Generation with Spiking Transformer Diffusion Policy Modelcited by 1
- 2024Brain-inspired Action Generation with Spiking Transformer Diffusion Policy Model15 Nov 2024
- 2024Spiking Diffusion Models29 Aug 2024
- 2023Fully Spiking Denoising Diffusion Implicit Models4 Dec 2023
- 2023Spiking Denoising Diffusion Probabilistic Models29 Jun 2023
- 2022Spikformer: When Spiking Neural Network Meets Transformercited by 263
- 2023SpikingJelly: An open-source machine learning infrastructure platform for spike-based intelligencecited by 163
- 2022Recurrent Vision Transformers for Object Detection with Event Camerascited by 158
- 2022Training High-Performance Low-Latency Spiking Neural Networks by Differentiation on Spike Representationcited by 89
- 2021HIRE-SNN: Harnessing the Inherent Robustness of Energy-Efficient Deep Spiking Neural Networks by Training with Crafted Input Noisecited by 61
- 2022Event-based Video Reconstruction via Potential-assisted Spiking Neural Networkcited by 58
- 2022Neural Architecture Search for Spiking Neural Networkscited by 52
- 2021Pruning of Deep Spiking Neural Networks through Gradient Rewiringcited by 41
- 2022AutoSNN: Towards Energy-Efficient Spiking Neural Networkscited by 40
- 2021Training Feedback Spiking Neural Networks by Implicit Differentiation on the Equilibrium Statecited by 39
- 2022Optimized Potential Initialization for Low-latency Spiking Neural Networkscited by 39
- 2023Membrane Potential Batch Normalization for Spiking Neural Networkscited by 35
12 most cited of 114 All 114 (JSON)
- 2026Learnable Burst Quantization for Expressive and Efficient Spiking Neural Networks28 Apr 2026
- 2026BSViT: A Burst Spiking Vision Transformer for Expressive and Efficient Visual Representation Learning25 Apr 2026
- 2026Robust Spiking Neural Networks Against Adversarial Attacks24 Feb 2026
- 2026Efficient Aspect Term Extraction using Spiking Neural Network10 Jan 2026
- 2025Hybrid Layer-Wise ANN-SNN With Surrogate Spike Encoding-Decoding Structure29 Sep 2025
- 2025Color Spike Data Generation via Bio-inspired Neuron-like Encoding with an Artificial Photoreceptor Layer19 Aug 2025
- 2025WD-DETR: Wavelet Denoising-Enhanced Real-Time Object Detection Transformer for Robot Perception with Event Cameras10 Jun 2025
- 2025Improving Performance of Spike-based Deep Q-Learning using Ternary Neurons3 Jun 2025
- 2025Adversarially Robust Spiking Neural Networks with Sparse Connectivity16 May 2025
- 2025Efficient ANN-SNN Conversion with Error Compensation Learning12 May 2025
- 2025TS-SNN: Temporal Shift Module for Spiking Neural Networks7 May 2025
- 2025PASCAL: Precise and Efficient ANN- SNN Conversion using Spike Accumulation and Adaptive Layerwise Activation3 May 2025
12 newest of 114 All 114 (JSON)