Spatio-Temporal Backpropagation for Training High-performance Spiking Neural Networks
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Abstract (arXiv)
Compared with artificial neural networks (ANNs), spiking neural networks (SNNs) are promising to explore the brain-like behaviors since the spikes could encode more spatio-temporal information. Although pre-training from ANN or direct training based on backpropagation (BP) makes the supervised training of SNNs possible, these methods only exploit the networks' spatial domain information which leads to the performance bottleneck and requires many complicated training skills. Another fundamental issue is that the spike activity is naturally non-differentiable which causes great difficulties in training SNNs. To this end, we build an iterative LIF model that is more friendly for gradient descent training. By simultaneously considering the layer-by-layer spatial domain (SD) and the timing-dependent temporal domain (TD) in the training phase, as well as an approximated derivative for the spike activity, we propose a spatio-temporal backpropagation (STBP) training framework without using any complicated technology. We achieve the best performance of multi-layered perceptron (MLP) compared with existing state-of-the-art algorithms over the static MNIST and the dynamic N-MNIST dataset as well as a custom object detection dataset. This work provides a new perspective to explore the high-performance SNNs for future brain-like computing paradigm with rich spatio-temporal dynamics.
Key facts. Cited by 406 papers in the map (data through 14 Oct 2026). First posted on arXiv 8 Jun 2017.
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Citing papers per year: 2021: 39; 2022: 54; 2023: 86; 2024: 76; 2025: 92; 2026: 59.
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- 2022Spikformer: When Spiking Neural Network Meets Transformercited by 271
- 2021Training Spiking Neural Networks Using Lessons From Deep Learningcited by 259
- 2022Temporal Efficient Training of Spiking Neural Network via Gradient Re-weightingcited by 198
- 2023SpikingJelly: An open-source machine learning infrastructure platform for spike-based intelligencecited by 169
- 2023Spike-driven Transformercited by 146
- 2021Optimal Conversion of Conventional Artificial Neural Networks to Spiking Neural Networkscited by 139
- 2021A Free Lunch From ANN: Towards Efficient, Accurate Spiking Neural Networks Calibrationcited by 117
- 2022Attention Spiking Neural Networkscited by 107
- 2021Temporal-wise Attention Spiking Neural Networks for Event Streams Classificationcited by 106
- 2024Spike-driven Transformer V2: Meta Spiking Neural Network Architecture Inspiring the Design of Next-generation Neuromorphic Chipscited by 103
- 2021Self-Supervised Learning of Event-Based Optical Flow with Spiking Neural Networkscited by 99
- 2022Training High-Performance Low-Latency Spiking Neural Networks by Differentiation on Spike Representationcited by 89
38 more
- 2023SpikeGPT: Generative Pre-trained Language Model with Spiking Neural Networkscited by 88
- 2021Advancing Spiking Neural Networks towards Deep Residual Learningcited by 79
- 2023Deep Directly-Trained Spiking Neural Networks for Object Detectioncited by 77
- 2021Time-Ordered Recent Event (TORE) Volumes for Event Camerascited by 73
- 2021HIRE-SNN: Harnessing the Inherent Robustness of Energy-Efficient Deep Spiking Neural Networks by Training with Crafted Input Noisecited by 65
- 2022GLIF: A Unified Gated Leaky Integrate-and-Fire Neuron for Spiking Neural Networkscited by 63
- 2022Event-based Video Reconstruction via Potential-assisted Spiking Neural Networkcited by 59
- 2024Scaling Spike-driven Transformer with Efficient Spike Firing Approximation Trainingcited by 59
- 2021Beyond Classification: Directly Training Spiking Neural Networks for Semantic Segmentationcited by 55
- 2022Neural Architecture Search for Spiking Neural Networkscited by 53
- 2022Neuromorphic Data Augmentation for Training Spiking Neural Networkscited by 52
- 2023Speck: A Smart event-based Vision Sensor with a low latency 327K Neuron Convolutional Neuronal Network Processing Pipelinecited by 52
- 2022Event Transformer. A sparse-aware solution for efficient event data processingcited by 50
- 2022Online Training Through Time for Spiking Neural Networkscited by 49
- 2024QKFormer: Hierarchical Spiking Transformer using Q-K Attentioncited by 49
- 2023Hierarchical Neural Memory Network for Low Latency Event Processingcited by 47
- 2023Fast-SNN: Fast Spiking Neural Network by Converting Quantized ANNcited by 46
- 2023Constructing Deep Spiking Neural Networks from Artificial Neural Networks with Knowledge Distillationcited by 44
- 2021Pruning of Deep Spiking Neural Networks through Gradient Rewiringcited by 43
- 2023SEENN: Towards Temporal Spiking Early-Exit Neural Networkscited by 41
- 2023Parallel Spiking Neurons with High Efficiency and Ability to Learn Long-term Dependenciescited by 41
- 2021Training Feedback Spiking Neural Networks by Implicit Differentiation on the Equilibrium Statecited by 40
- 2023Reducing ANN-SNN Conversion Error through Residual Membrane Potentialcited by 40
- 2023Bridging the Gap between ANNs and SNNs by Calibrating Offset Spikescited by 40
- 2023Ternary Spike: Learning Ternary Spikes for Spiking Neural Networkscited by 38
- 2024OpenESS: Event-based Semantic Scene Understanding with Open Vocabulariescited by 38
- 2023Towards Memory- and Time-Efficient Backpropagation for Training Spiking Neural Networkscited by 37
- 2022TCJA-SNN: Temporal-Channel Joint Attention for Spiking Neural Networkscited by 35
- 2023Joint A-SNN: Joint Training of Artificial and Spiking Neural Networks via Self-Distillation and Weight Factorizationcited by 35
- 2023Membrane Potential Batch Normalization for Spiking Neural Networkscited by 35
- 2021A Fully Spiking Hybrid Neural Network for Energy-Efficient Object Detectioncited by 31
- 2023Direct Learning-Based Deep Spiking Neural Networks: A Reviewcited by 31
- 2024SpikeLM: Towards General Spike-Driven Language Modeling via Elastic Bi-Spiking Mechanismscited by 31
- 2024SpikeLLM: Scaling up Spiking Neural Network to Large Language Models via Saliency-based Spikingcited by 31
- 2022Efficient and Accurate Conversion of Spiking Neural Network with Burst Spikescited by 30
- 2024Spikformer V2: Join the High Accuracy Club on ImageNet with an SNN Ticketcited by 30
- 2023RMP-Loss: Regularizing Membrane Potential Distribution for Spiking Neural Networkscited by 28
- 2021Visual Explanations from Spiking Neural Networks using Interspike Intervalscited by 27
50 most cited of 406 All 406 (JSON)
- 2026SpikeOcc: Towards Resilient Multimodal 3D Occupancy Perception via Spiking Experts11 Oct 2026
- 2026Contrastive Attention Mitigates Spectral Bias in Spiking Transformers1 Oct 2026
- 2026Spike-driven Vision-Language-Action Model30 Sep 2026
- 2026NAVIR: Neuromorphic Audio-Visual Speech Recognition for Robust Human-Robot Interaction on Edge Hardware21 Sep 2026
- 2026Unsupervised spiking feature learning for event-based pedestrian crossing detection: approaching supervised accuracy without labelled training data15 Sep 2026
- 2026Pedestrian Crossing Intent Classification From Event-Based Vision Using Convolutional Spiking Neural Networks With Temporal Augmentation11 Sep 2026
- 2026SCINTILLA-SNN: A Spiking Multi-Scale Selective Aggregation Network for Perineural Invasion Prediction10 Sep 2026
- 2026A Gradient-based yet Spike-Timing-Dependent Solution to the Feedback Learning Problem in Neural Microcircuits8 Sep 2026
- 2026Wave Function Backpropagation with Explicit Temporal-Interval Dynamics1 Sep 2026
- 2026SpikeOPD: Stable On-Policy Distillation for Autoregressive Spiking Language Models28 Aug 2026
- 2026Noisy group neurons with synchronous resetting for high-performance spiking neural networks18 Aug 2026
- 2026SAGE: Surrogate-gradient Adaptation via Attention-Guided Entropy for Spiking Transformers13 Aug 2026
38 more
- 2026PTQ4SNN: Membrane-Aware Post-Training Quantization for Spiking Neural Networks7 Aug 2026
- 2026Neuromorphic Object Detection: An In-Depth Study and Future Directions26 Jul 2026
- 2026Scalable Training of Continuous-Time Spiking Neural Networks with Differentiable Spike-Time Discretization16 Jul 2026
- 2026Event Burst Trigger: An Availability Backdoor Attack on Event-Based SNN Object Detection10 Jul 2026
- 2026Efficient Perception in Automotive Detection and Tracking Using Neuromorphic Computing6 Jul 2026
- 2026Intrinsically Stable Spiking Neural Networks: Overcoming the Performance Barrier in the Absence of Batch Normalization30 Jun 2026
- 2026LongSpike: Fractional Order Spiking State Space Models for Efficient Long Sequence Learning11 Jun 2026
- 2026QDS-SNN: Energy-efficient Quantum Deeply-Supervised Spiking Neural Network Algorithm for Traffic Sign Recognition3 Jun 2026
- 2026A2SG:Adaptive and Asymmetric Surrogate Gradients for Training Deep Spiking Neural Networks29 May 2026
- 2026Neuromorphic LiDAR-based Bird's Eye View Object Detection using Energy-efficient Spiking Neural Networks24 May 2026
- 2026XOResNet: Exclusive-OR Meta-Residuals Facilitate Deep Spiking Neural Networks Learning15 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
- 2026STARS: Spike Tail-Aware Relational Synthesis for ANN-to-SNN Data-Free Knowledge Distillation12 May 2026
- 2026Multi-Timescale Conductance Spiking Networks: A Sparse, Gradient-Trainable Framework with Rich Firing Dynamics for Enhanced Temporal Processing12 May 2026
- 2026Convex Optimization of Spiking Neural Networks with Global and Approximation Guarantees8 May 2026
- 2026Elastic Spiking Transformers for Efficient Gesture Understanding4 May 2026
- 2026EdgeSpike: Spiking Neural Networks for Low-Power Autonomous Sensing in Edge IoT Architectures29 Apr 2026
- 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
- 2026BiSpikCLM: A Spiking Language Model integrating Softmax-Free Spiking Attention and Spike-Aware Alignment Distillation14 Apr 2026
- 2026Towards Green Wearable Computing: A Physics-Aware Spiking Neural Network for Energy-Efficient IMU-based Human Activity Recognition12 Apr 2026
- 2026Ge2mS-T: Multi-Dimensional Grouping for Ultra-High Energy Efficiency in Spiking Transformer10 Apr 2026
- 2026Sharpness-Aware Surrogate Training for On-Sensor Spiking Neural Networks6 Apr 2026
- 2026Brain-Inspired Multimodal Spiking Neural Network for Image-Text Retrieval25 Mar 2026
- 2026Efficient Encrypted Computation in Convolutional Spiking Neural Networks with TFHE25 Mar 2026
- 2026Reconstructing Spiking Neural Networks Using a Single Neuron with Autapses25 Mar 2026
- 2026Neuronal Self-Adaptation Enhances Capacity and Robustness of Representation in Spiking Neural Networks21 Mar 2026
- 2026S3T-Former: A Purely Spike-Driven State-Space Topology Transformer for Skeleton Action Recognition18 Mar 2026
- 2026Sharpness Aware Surrogate Training for Spiking Neural Networks14 Mar 2026
- 2026Collapse or Preserve: Data-Dependent Temporal Aggregation for Spiking Neural Network Acceleration14 Mar 2026
- 2026Stable Spike: Dual Consistency Optimization via Bitwise AND Operations for Spiking Neural Networks12 Mar 2026
- 2026Reward-Modulated Local Learning in Spiking Encoders: Controlled Benchmarks with STDP and Hybrid Rate Readouts28 Feb 2026
- 2026TP-Spikformer: Token Pruned Spiking Transformer28 Feb 2026
- 2026Robust Spiking Neural Networks Against Adversarial Attacks24 Feb 2026
- 2026Memory-Augmented Spiking Networks: Synergistic Integration of Complementary Mechanisms for Neuromorphic Vision21 Feb 2026
- 2026Energy-Aware Spike Budgeting for Continual Learning in Spiking Neural Networks for Neuromorphic Vision12 Feb 2026
- 2026BadSNN: Backdoor Attacks on Spiking Neural Networks via Adversarial Spiking Neuron6 Feb 2026
50 newest of 406 All 406 (JSON)
- 2023Constructing Deep Spiking Neural Networks from Artificial Neural Networks with Knowledge Distillationcited by 44
- 2023Joint A-SNN: Joint Training of Artificial and Spiking Neural Networks via Self-Distillation and Weight Factorizationcited by 35
- 2023SpikeBERT: A Language Spikformer Learned from BERT with Knowledge Distillationcited by 17
- 2023Biologically inspired structure learning with reverse knowledge distillation for spiking neural networkscited by 11
- 2024Self-Distillation Learning Based on Temporal-Spatial Consistency for Spiking Neural Networkscited by 9
- 2025Efficient Logit-based Knowledge Distillation of Deep Spiking Neural Networks for Full-Range Timestep Deploymentcited by 2
- 2025Synergy Between the Strong and the Weak: Spiking Neural Networks are Inherently Self-Distillerscited by 2
- 2025Head-Tail-Aware KL Divergence in Knowledge Distillation for Spiking Neural Networkscited by 1
- 2025Enhanced Self-Distillation Framework for Efficient Spiking Neural Network Trainingcited by 0
- 2026STARS: Spike Tail-Aware Relational Synthesis for ANN-to-SNN Data-Free Knowledge Distillationcited by 0
- 2026SpikeOPD: Stable On-Policy Distillation for Autoregressive Spiking Language Modelscited by 0
- 2026SpikeOPD: Stable On-Policy Distillation for Autoregressive Spiking Language Models28 Aug 2026
- 2026STARS: Spike Tail-Aware Relational Synthesis for ANN-to-SNN Data-Free Knowledge Distillation12 May 2026
- 2025Synergy Between the Strong and the Weak: Spiking Neural Networks are Inherently Self-Distillers9 Oct 2025
- 2025Enhanced Self-Distillation Framework for Efficient Spiking Neural Network Training4 Oct 2025
- 2025Head-Tail-Aware KL Divergence in Knowledge Distillation for Spiking Neural Networks29 Apr 2025
- 2025Efficient Logit-based Knowledge Distillation of Deep Spiking Neural Networks for Full-Range Timestep Deployment27 Jan 2025
- 2024Self-Distillation Learning Based on Temporal-Spatial Consistency for Spiking Neural Networks12 Jun 2024
- 2023SpikeBERT: A Language Spikformer Learned from BERT with Knowledge Distillation29 Aug 2023
- 2023Joint A-SNN: Joint Training of Artificial and Spiking Neural Networks via Self-Distillation and Weight Factorization3 May 2023
- 2023Biologically inspired structure learning with reverse knowledge distillation for spiking neural networks19 Apr 2023
- 2023Constructing Deep Spiking Neural Networks from Artificial Neural Networks with Knowledge Distillation12 Apr 2023
- 2025Proxy Target: Bridging the Gap Between Discrete Spiking Neural Networks and Continuous Controlcited by 6
- 2025CaRe-BN: Precise Moving Statistics for Stabilizing Spiking Neural Networks in Reinforcement Learningcited by 3
- 2024Trapezoidal Gradient Descent for Effective Reinforcement Learning in Spiking Networkscited by 0
- 2025Energy-Efficient Deep Reinforcement Learning with Spiking Transformerscited by 0
- 2025Fully Spiking Actor-Critic Neural Network for Robotic Manipulationcited by 0
- 2025CaRe-BN: Precise Moving Statistics for Stabilizing Spiking Neural Networks in Reinforcement Learning28 Sep 2025
- 2025Fully Spiking Actor-Critic Neural Network for Robotic Manipulation16 Aug 2025
- 2025Proxy Target: Bridging the Gap Between Discrete Spiking Neural Networks and Continuous Control30 May 2025
- 2025Energy-Efficient Deep Reinforcement Learning with Spiking Transformers20 May 2025
- 2024Trapezoidal Gradient Descent for Effective Reinforcement Learning in Spiking Networks19 Jun 2024
- 2024Spiking Diffusion Modelscited by 3
- 2023Fully Spiking Denoising Diffusion Implicit Modelscited by 2
- 2025Biologically Inspired Spiking Diffusion Model with Adaptive Lateral Selection Mechanismcited by 0
- 2025Biologically Inspired Spiking Diffusion Model with Adaptive Lateral Selection Mechanism31 Mar 2025
- 2024Spiking Diffusion Models29 Aug 2024
- 2023Fully Spiking Denoising Diffusion Implicit Models4 Dec 2023
- 2026TP-Spikformer: Token Pruned Spiking Transformercited by 4
- 2026TP-Spikformer: Token Pruned Spiking Transformer28 Feb 2026
- 2026Spike-driven Vision-Language-Action Modelcited by 0
- 2026Spike-driven Vision-Language-Action Model30 Sep 2026
- 2022Spikformer: When Spiking Neural Network Meets Transformercited by 271
- 2021Training Spiking Neural Networks Using Lessons From Deep Learningcited by 259
- 2022Temporal Efficient Training of Spiking Neural Network via Gradient Re-weightingcited by 198
- 2023SpikingJelly: An open-source machine learning infrastructure platform for spike-based intelligencecited by 169
- 2023Spike-driven Transformercited by 146
- 2021Optimal Conversion of Conventional Artificial Neural Networks to Spiking Neural Networkscited by 139
- 2021A Free Lunch From ANN: Towards Efficient, Accurate Spiking Neural Networks Calibrationcited by 117
- 2022Attention Spiking Neural Networkscited by 107
- 2021Temporal-wise Attention Spiking Neural Networks for Event Streams Classificationcited by 106
- 2024Spike-driven Transformer V2: Meta Spiking Neural Network Architecture Inspiring the Design of Next-generation Neuromorphic Chipscited by 103
- 2021Self-Supervised Learning of Event-Based Optical Flow with Spiking Neural Networkscited by 99
- 2022Training High-Performance Low-Latency Spiking Neural Networks by Differentiation on Spike Representationcited by 89
12 most cited of 379 All 379 (JSON)
- 2026Contrastive Attention Mitigates Spectral Bias in Spiking Transformers1 Oct 2026
- 2026NAVIR: Neuromorphic Audio-Visual Speech Recognition for Robust Human-Robot Interaction on Edge Hardware21 Sep 2026
- 2026Unsupervised spiking feature learning for event-based pedestrian crossing detection: approaching supervised accuracy without labelled training data15 Sep 2026
- 2026Pedestrian Crossing Intent Classification From Event-Based Vision Using Convolutional Spiking Neural Networks With Temporal Augmentation11 Sep 2026
- 2026SCINTILLA-SNN: A Spiking Multi-Scale Selective Aggregation Network for Perineural Invasion Prediction10 Sep 2026
- 2026A Gradient-based yet Spike-Timing-Dependent Solution to the Feedback Learning Problem in Neural Microcircuits8 Sep 2026
- 2026Wave Function Backpropagation with Explicit Temporal-Interval Dynamics1 Sep 2026
- 2026Noisy group neurons with synchronous resetting for high-performance spiking neural networks18 Aug 2026
- 2026SAGE: Surrogate-gradient Adaptation via Attention-Guided Entropy for Spiking Transformers13 Aug 2026
- 2026PTQ4SNN: Membrane-Aware Post-Training Quantization for Spiking Neural Networks7 Aug 2026
- 2026Neuromorphic Object Detection: An In-Depth Study and Future Directions26 Jul 2026
- 2026Scalable Training of Continuous-Time Spiking Neural Networks with Differentiable Spike-Time Discretization16 Jul 2026
12 newest of 379 All 379 (JSON)