Training Deep Spiking Neural Networks using Backpropagation
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Abstract (arXiv)
Deep spiking neural networks (SNNs) hold great potential for improving the latency and energy efficiency of deep neural networks through event-based computation. However, training such networks is difficult due to the non-differentiable nature of asynchronous spike events. In this paper, we introduce a novel technique, which treats the membrane potentials of spiking neurons as differentiable signals, where discontinuities at spike times are only considered as noise. This enables an error backpropagation mechanism for deep SNNs, which works directly on spike signals and membrane potentials. Thus, compared with previous methods relying on indirect training and conversion, our technique has the potential to capture the statics of spikes more precisely. Our novel framework outperforms all previously reported results for SNNs on the permutation invariant MNIST benchmark, as well as the N-MNIST benchmark recorded with event-based vision sensors.
Key facts. Cited by 203 papers in the map (data through 7 Oct 2026). First posted on arXiv 31 Aug 2016.
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Citing papers per year: 2021: 32; 2022: 45; 2023: 40; 2024: 38; 2025: 30; 2026: 18.
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- 2022Spikformer: When Spiking Neural Network Meets Transformercited by 263
- 2021Training Spiking Neural Networks Using Lessons From Deep Learningcited by 251
- 2022Temporal Efficient Training of Spiking Neural Network via Gradient Re-weightingcited by 192
- 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
- 2022AEGNN: Asynchronous Event-based Graph Neural Networkscited by 118
- 2021N-ImageNet: Towards Robust, Fine-Grained Object Recognition with Event Camerascited by 91
- 2023Deep Learning for Event-based Vision: A Comprehensive Survey and Benchmarkscited by 90
- 2021Advancing Spiking Neural Networks towards Deep Residual Learningcited by 76
- 2021Time-Ordered Recent Event (TORE) Volumes for Event Camerascited by 73
- 2022Event-based Video Reconstruction via Potential-assisted Spiking Neural Networkcited by 58
- 2021Beyond Classification: Directly Training Spiking Neural Networks for Semantic Segmentationcited by 54
38 more
- 2022Neural Architecture Search for Spiking Neural Networkscited by 52
- 2022Neuromorphic Data Augmentation for Training Spiking Neural Networkscited by 52
- 2023From Chaos Comes Order: Ordering Event Representations for Object Recognition and Detectioncited by 52
- 2022Online Training Through Time for Spiking Neural Networkscited by 48
- 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
- 2022RGB-Event Fusion for Moving Object Detection in Autonomous Drivingcited by 39
- 2024Scene Adaptive Sparse Transformer for Event-based Object Detectioncited by 39
- 2023EventCLIP: Adapting CLIP for Event-based Object Recognitioncited by 36
- 2022TCJA-SNN: Temporal-Channel Joint Attention for Spiking Neural Networkscited by 33
- 2022Pushing the Limits of Asynchronous Graph-based Object Detection with Event Camerascited by 32
- 2021SpikeMS: Deep Spiking Neural Network for Motion Segmentationcited by 29
- 2023Label-Free Event-based Object Recognition via Joint Learning with Image Reconstruction from Eventscited 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
- 2022Spiking Graph Convolutional Networkscited 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
- 2022Signal Propagation: A Framework for Learning and Inference In a Forward Passcited by 24
- 2022HALSIE: Hybrid Approach to Learning Segmentation by Simultaneously Exploiting Image and Event Modalitiescited by 24
- 2024EventDance: Unsupervised Source-free Cross-modal Adaptation for Event-based Object Recognitioncited by 23
- 2021Backpropagation with Biologically Plausible Spatio-Temporal Adjustment For Training Deep Spiking Neural Networkscited by 22
- 2021Hybrid SNN-ANN: Energy-Efficient Classification and Object Detection for Event-Based Visioncited by 22
- 2021Bottom-up and top-down approaches for the design of neuromorphic processing systems: Tradeoffs and synergies between natural and artificial intelligencecited by 21
- 2022Multi-Level Firing with Spiking DS-ResNet: Enabling Better and Deeper Directly-Trained Spiking Neural Networkscited by 21
- 2021The Backpropagation Algorithm Implemented on Spiking Neuromorphic Hardwarecited by 19
- 2023Sneaky Spikes: Uncovering Stealthy Backdoor Attacks in Spiking Neural Networks with Neuromorphic Datacited by 18
- 2023Exploiting Noise as a Resource for Computation and Learning in Spiking Neural Networkscited by 17
- 2024SpikeZIP-TF: Conversion is All You Need for Transformer-based SNNcited by 16
- 2021PrivateSNN: Privacy-Preserving Spiking Neural Networkscited by 15
- 2022Deep Reinforcement Learning with Spiking Q-learningcited by 15
- 2022Loss shaping enhances exact gradient learning with Eventprop in spiking neural networkscited by 13
- 2021Increasing Liquid State Machine Performance with Edge-of-Chaos Dynamics Organized by Astrocyte-modulated Plasticitycited by 12
- 2022Sub-mW Neuromorphic SNN audio processing applications with Rockpool and Xylocited by 12
- 2024LMUFormer: Low Complexity Yet Powerful Spiking Model With Legendre Memory Unitscited by 11
- 2025Temporal-Guided Spiking Neural Networks for Event-Based Human Action Recognitioncited by 11
50 most cited of 203 All 203 (JSON)
- 2026SAGE: Surrogate-gradient Adaptation via Attention-Guided Entropy for Spiking Transformers13 Aug 2026
- 2026The Neural Division of Labor: Biologically-Inspired Modular Architectures for Robust Neuromorphic Computing8 Aug 2026
- 2026Neuromorphic Object Detection: An In-Depth Study and Future Directions26 Jul 2026
- 2026Efficient Perception in Automotive Detection and Tracking Using Neuromorphic Computing6 Jul 2026
- 2026LongSpike: Fractional Order Spiking State Space Models for Efficient Long Sequence Learning11 Jun 2026
- 2026Neuromorphic LiDAR-based Bird's Eye View Object Detection using Energy-efficient Spiking Neural Networks24 May 2026
- 2026Equilibrium Propagation and Hamiltonian Inference in the Diffusive Fitzhugh-Nagumo Model20 May 2026
- 2026Advancing Direct Training for Spiking Neural Networks with Circulate-Firing Neurons and Learnable Gradients14 May 2026
- 2026NeuroTrain: Surveying Local Learning Rules for Spiking Neural Networks with an Open Benchmarking Framework14 May 2026
- 2026SpikeCLR: Contrastive Self-Supervised Learning for Few-Shot Event-Based Vision using Spiking Neural Networks17 Mar 2026
- 2026S2Act: Simple Spiking Actor16 Mar 2026
- 2026Sharpness Aware Surrogate Training for Spiking Neural Networks14 Mar 2026
38 more
- 2026Reward-Modulated Local Learning in Spiking Encoders: Controlled Benchmarks with STDP and Hybrid Rate Readouts28 Feb 2026
- 2026BadSNN: Backdoor Attacks on Spiking Neural Networks via Adversarial Spiking Neuron6 Feb 2026
- 2026SNIP: An Adaptive Mixed Precision Framework for Subbyte Large Language Model Training1 Feb 2026
- 2026Effects of Introducing Synaptic Scaling on Spiking Neural Network Learning16 Jan 2026
- 2026Parallelizable memory recurrent units14 Jan 2026
- 2026WaveFormer: Frequency-Time Decoupled Vision Modeling with Wave Equation13 Jan 2026
- 2025Autonomous Reinforcement Learning Robot Control with Intel's Loihi 2 Neuromorphic Hardware3 Dec 2025
- 2025Stabilizing Direct Training of Spiking Neural Networks: Membrane Potential Initialization and Threshold-robust Surrogate Gradient11 Nov 2025
- 2025Spiking Neural Networks: The Future of Brain-Inspired Computing31 Oct 2025
- 2025Spiking Patches: Asynchronous, Sparse, and Efficient Tokens for Event Cameras30 Oct 2025
- 2025All in one timestep: Enhancing Sparsity and Energy efficiency in Multi-level Spiking Neural Networks28 Oct 2025
- 2025MoCom: Motion-based Inter-MAV Visual Communication Using Event Vision and Spiking Neural Networks16 Oct 2025
- 2025Unsupervised Backdoor Detection and Mitigation for Spiking Neural Networks8 Oct 2025
- 2025Timestep-Compressed Attack on Spiking Neural Networks through Timestep-Level Backpropagation19 Aug 2025
- 2025Multi-Plasticity Synergy with Adaptive Mechanism Assignment for Training Spiking Neural Networks19 Aug 2025
- 2025Color Spike Data Generation via Bio-inspired Neuron-like Encoding with an Artificial Photoreceptor Layer19 Aug 2025
- 2025ParaRevSNN: A Parallel Reversible Spiking Neural Network for Efficient Training and Inference2 Aug 2025
- 2025Temporal Regularization Training: Unleashing the Potential of Spiking Neural Networks24 Jun 2025
- 2025Accuracy-Efficiency Trade-Offs in Spiking Neural Networks: A Lempel-Ziv Complexity Perspective on Learning Rules7 Jun 2025
- 2025SiLIF: Structured State Space Model Dynamics and Parametrization for Spiking Neural Networks4 Jun 2025
- 2025Multi-Timescale Motion-Decoupled Spiking Transformer for Audio-Visual Zero-Shot Learning26 May 2025
- 2025Time to Spike? Understanding the Representational Power of Spiking Neural Networks in Discrete Time23 May 2025
- 2025PASCAL: Precise and Efficient ANN- SNN Conversion using Spike Accumulation and Adaptive Layerwise Activation3 May 2025
- 2025Causal pieces: analysing and improving spiking neural networks piece by piece18 Apr 2025
- 2025snnTrans-DHZ: A Lightweight Spiking Neural Network Architecture for Underwater Image Dehazing13 Apr 2025
- 2025Hardware, Algorithms, and Applications of the Neuromorphic Vision Sensor: a Review11 Apr 2025
- 2025PETNet -- Coincident Particle Event Detection using Spiking Neural Networks9 Apr 2025
- 2025SU-YOLO: Spiking Neural Network for Efficient Underwater Object Detection31 Mar 2025
- 2025Temporal-Guided Spiking Neural Networks for Event-Based Human Action Recognition21 Mar 2025
- 2025Region Masking to Accelerate Video Processing on Neuromorphic Hardware21 Mar 2025
- 2025Towards Scalable Modeling of Compressed Videos for Efficient Action Recognition17 Mar 2025
- 2025Spiking Meets Attention: Efficient Remote Sensing Image Super-Resolution with Attention Spiking Neural Networks6 Mar 2025
- 2025Towards High-performance Spiking Transformers from ANN to SNN Conversion28 Feb 2025
- 2025Backpropagation-free Spiking Neural Networks with the Forward-Forward Algorithm19 Feb 2025
- 2025FAS: Fast ANN-SNN Conversion for Spiking Large Language Models6 Feb 2025
- 2025Efficient Logit-based Knowledge Distillation of Deep Spiking Neural Networks for Full-Range Timestep Deployment27 Jan 2025
- 2024Scalable Event Cloud Network for Event-based Classification30 Dec 2024
- 2024EvRepSL: Event-Stream Representation via Self-Supervised Learning for Event-Based Vision10 Dec 2024
50 newest of 203 All 203 (JSON)
- 2023Fully Spiking Denoising Diffusion Implicit Modelscited by 2
- 2023Fully Spiking Denoising Diffusion Implicit Models4 Dec 2023
- 2022Spikformer: When Spiking Neural Network Meets Transformercited by 263
- 2021Training Spiking Neural Networks Using Lessons From Deep Learningcited by 251
- 2022Temporal Efficient Training of Spiking Neural Network via Gradient Re-weightingcited by 192
- 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
- 2022AEGNN: Asynchronous Event-based Graph Neural Networkscited by 118
- 2021N-ImageNet: Towards Robust, Fine-Grained Object Recognition with Event Camerascited by 91
- 2023Deep Learning for Event-based Vision: A Comprehensive Survey and Benchmarkscited by 90
- 2021Advancing Spiking Neural Networks towards Deep Residual Learningcited by 76
- 2021Time-Ordered Recent Event (TORE) Volumes for Event Camerascited by 73
- 2022Event-based Video Reconstruction via Potential-assisted Spiking Neural Networkcited by 58
- 2021Beyond Classification: Directly Training Spiking Neural Networks for Semantic Segmentationcited by 54
12 most cited of 199 All 199 (JSON)
- 2026SAGE: Surrogate-gradient Adaptation via Attention-Guided Entropy for Spiking Transformers13 Aug 2026
- 2026The Neural Division of Labor: Biologically-Inspired Modular Architectures for Robust Neuromorphic Computing8 Aug 2026
- 2026Neuromorphic Object Detection: An In-Depth Study and Future Directions26 Jul 2026
- 2026Efficient Perception in Automotive Detection and Tracking Using Neuromorphic Computing6 Jul 2026
- 2026LongSpike: Fractional Order Spiking State Space Models for Efficient Long Sequence Learning11 Jun 2026
- 2026Neuromorphic LiDAR-based Bird's Eye View Object Detection using Energy-efficient Spiking Neural Networks24 May 2026
- 2026Equilibrium Propagation and Hamiltonian Inference in the Diffusive Fitzhugh-Nagumo Model20 May 2026
- 2026Advancing Direct Training for Spiking Neural Networks with Circulate-Firing Neurons and Learnable Gradients14 May 2026
- 2026NeuroTrain: Surveying Local Learning Rules for Spiking Neural Networks with an Open Benchmarking Framework14 May 2026
- 2026SpikeCLR: Contrastive Self-Supervised Learning for Few-Shot Event-Based Vision using Spiking Neural Networks17 Mar 2026
- 2026S2Act: Simple Spiking Actor16 Mar 2026
- 2026Sharpness Aware Surrogate Training for Spiking Neural Networks14 Mar 2026
12 newest of 199 All 199 (JSON)