Training High-Performance Low-Latency Spiking Neural Networks by Differentiation on Spike Representation
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Abstract (arXiv)
Spiking Neural Network (SNN) is a promising energy-efficient AI model when implemented on neuromorphic hardware. However, it is a challenge to efficiently train SNNs due to their non-differentiability. Most existing methods either suffer from high latency (i.e., long simulation time steps), or cannot achieve as high performance as Artificial Neural Networks (ANNs). In this paper, we propose the Differentiation on Spike Representation (DSR) method, which could achieve high performance that is competitive to ANNs yet with low latency. First, we encode the spike trains into spike representation using (weighted) firing rate coding. Based on the spike representation, we systematically derive that the spiking dynamics with common neural models can be represented as some sub-differentiable mapping. With this viewpoint, our proposed DSR method trains SNNs through gradients of the mapping and avoids the common non-differentiability problem in SNN training. Then we analyze the error when representing the specific mapping with the forward computation of the SNN. To reduce such error, we propose to train the spike threshold in each layer, and to introduce a new hyperparameter for the neural models. With these components, the DSR method can achieve state-of-the-art SNN performance with low latency on both static and neuromorphic datasets, including CIFAR-10, CIFAR-100, ImageNet, and DVS-CIFAR10.
Key facts. Cited by 89 papers in the map (data through 14 Oct 2026). Builds on 34 of its 61 references that are in the map. First posted on arXiv 1 May 2022.
Builds on
34 of 61 references.
References · 34
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- 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 5,045
- 2016Identity Mappings in Deep Residual Networkscited by 1,965
- 2019Surrogate Gradient Learning in Spiking Neural Networkscited by 626
- 2018PACT: Parameterized Clipping Activation for Quantized Neural Networkscited by 467
- 2017Spatio-Temporal Backpropagation for Training High-performance Spiking Neural Networkscited by 406
- 2020Incorporating Learnable Membrane Time Constant to Enhance Learning of Spiking Neural Networkscited by 345
- 2021Deep Residual Learning in Spiking Neural Networkscited by 331
- 2020Going Deeper With Directly-Trained Larger Spiking Neural Networkscited by 278
- 2018SLAYER: Spike Layer Error Reassignment in Timecited by 266
22 more
- 2018Deep Learning in Spiking Neural Networkscited by 263
- 2018Going Deeper in Spiking Neural Networks: VGG and Residual Architecturescited by 245
- 2018Direct Training for Spiking Neural Networks: Faster, Larger, Bettercited by 233
- 2018Long short-term memory and learning-to-learn in networks of spiking neuronscited by 181
- 2019Spiking-YOLO: Spiking Neural Network for Energy-Efficient Object Detectioncited by 177
- 2020RMP-SNN: Residual Membrane Potential Neuron for Enabling Deeper High-Accuracy and Low-Latency Spiking Neural Networkcited by 145
- 2020Enabling Deep Spiking Neural Networks with Hybrid Conversion and Spike Timing Dependent Backpropagationcited by 144
- 2021Optimal Conversion of Conventional Artificial Neural Networks to Spiking Neural Networkscited by 139
- 2019Enabling Spike-based Backpropagation for Training Deep Neural Network Architecturescited by 123
- 2021A Free Lunch From ANN: Towards Efficient, Accurate Spiking Neural Networks Calibrationcited by 117
- 2020Temporal Spike Sequence Learning via Backpropagation for Deep Spiking Neural Networkscited by 100
- 2021Optimal ANN-SNN Conversion for Fast and Accurate Inference in Deep Spiking Neural Networkscited by 78
- 2016Supervised learning based on temporal coding in spiking neural networkscited by 76
- 2020DIET-SNN: Direct Input Encoding With Leakage and Threshold Optimization in Deep Spiking Neural Networkscited by 71
- 2016Convolutional Networks for Fast, Energy-Efficient Neuromorphic Computingcited by 70
- 2015Spiking Deep Networks with LIF Neuronscited by 63
- 2020Event-Based Backpropagation can compute Exact Gradients for Spiking Neural Networkscited by 59
- 2017Gradient Descent for Spiking Neural Networkscited by 48
- 2019Temporal-Coded Deep Spiking Neural Network with Easy Training and Robust Performancecited by 46
- 2021Training Feedback Spiking Neural Networks by Implicit Differentiation on the Equilibrium Statecited by 40
- 2018Spiking Deep Residual Networkcited by 21
- 2021Backpropagated Neighborhood Aggregation for Accurate Training of Spiking Neural Networkscited by 14
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Citing papers per year: 2022: 10; 2023: 25; 2024: 26; 2025: 23; 2026: 5.
89 papers.
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- 2022Spikformer: When Spiking Neural Network Meets Transformercited by 271
- 2023Spike-driven Transformercited by 146
- 2024Scaling Spike-driven Transformer with Efficient Spike Firing Approximation Trainingcited by 59
- 2022Online Training Through Time for Spiking Neural Networkscited by 49
- 2023Parallel Spiking Neurons with High Efficiency and Ability to Learn Long-term Dependenciescited by 41
- 2023Bridging the Gap between ANNs and SNNs by Calibrating Offset Spikescited by 40
- 2023Ternary Spike: Learning Ternary Spikes for Spiking Neural Networkscited 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
- 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
- 2024Spikformer V2: Join the High Accuracy Club on ImageNet with an SNN Ticketcited by 30
38 more
- 2023RMP-Loss: Regularizing Membrane Potential Distribution for Spiking Neural Networkscited by 28
- 2023Training Full Spike Neural Networks via Auxiliary Accumulation Pathwaycited by 26
- 2022STSC-SNN: Spatio-Temporal Synaptic Connection with Temporal Convolution and Attention for Spiking Neural Networkscited by 20
- 2022Spikeformer: A Novel Architecture for Training High-Performance Low-Latency Spiking Neural Networkcited by 19
- 2024Shrinking Your TimeStep: Towards Low-Latency Neuromorphic Object Recognition with Spiking Neural Networkcited by 19
- 2024Spiking Graph Neural Network on Riemannian Manifoldscited by 16
- 2024Take A Shortcut Back: Mitigating the Gradient Vanishing for Training Spiking Neural Networkscited by 14
- 2024TIM: An Efficient Temporal Interaction Module for Spiking Transformercited by 12
- 2024Event Stream based Human Action Recognition: A High-Definition Benchmark Dataset and Algorithmscited by 12
- 2024LMUFormer: Low Complexity Yet Powerful Spiking Model With Legendre Memory Unitscited by 11
- 2023Enhancing the Performance of Transformer-based Spiking Neural Networks by SNN-optimized Downsampling with Precise Gradient Backpropagationcited by 10
- 2024FSTA-SNN:Frequency-based Spatial-Temporal Attention Module for Spiking Neural Networkscited by 10
- 2022A Synapse-Threshold Synergistic Learning Approach for Spiking Neural Networkscited by 9
- 2024Self-Distillation Learning Based on Temporal-Spatial Consistency for Spiking Neural Networkscited by 9
- 2023Optimising Event-Driven Spiking Neural Network with Regularisation and Cutoffcited by 8
- 2023SPIDE: A Purely Spike-based Method for Training Feedback Spiking Neural Networkscited by 8
- 2023Tensor Decomposition Based Attention Module for Spiking Neural Networkscited by 8
- 2024Hebbian Learning based Orthogonal Projection for Continual Learning of Spiking Neural Networkscited by 8
- 2024Advancing Training Efficiency of Deep Spiking Neural Networks through Rate-based Backpropagationcited by 8
- 2023S-TLLR: STDP-inspired Temporal Local Learning Rule for Spiking Neural Networkscited by 7
- 2024EventRPG: Event Data Augmentation with Relevance Propagation Guidancecited by 7
- 2022Low Latency Conversion of Artificial Neural Network Models to Rate-encoded Spiking Neural Networkscited by 6
- 2023AutoST: Training-free Neural Architecture Search for Spiking Transformerscited by 6
- 2023Memory-Efficient Reversible Spiking Neural Networkscited by 6
- 2024Adaptive Calibration: A Unified Conversion Framework of Spiking Neural Networkcited by 6
- 2025Efficient ANN-Guided Distillation: Aligning Rate-based Features of Spiking Neural Networks through Hybrid Block-wise Replacementcited by 6
- 2024FTBC: Forward Temporal Bias Correction for Optimizing ANN-SNN Conversioncited by 5
- 2024Temporal Spiking Neural Networks with Synaptic Delay for Graph Reasoningcited by 5
- 2025Efficient Parallel Training Methods for Spiking Neural Networks with Constant Time Complexitycited by 5
- 2022Hoyer regularizer is all you need for ultra low-latency spiking neural networkscited by 4
- 2023Point-Voxel Absorbing Graph Representation Learning for Event Stream based Recognitioncited by 4
- 2025TESS: A Scalable Temporally and Spatially Local Learning Rule for Spiking Neural Networkscited by 4
- 2023Temporal Contrastive Learning for Spiking Neural Networkscited by 3
- 2023Attention-free Spikformer: Mixing Spike Sequences with Simple Linear Transformscited by 3
- 2023Spiking Neural Networks with Dynamic Time Steps for Vision Transformerscited by 3
- 2024SVFormer: A Direct Training Spiking Transformer for Efficient Video Action Recognitioncited by 3
- 2024Retain, Blend, and Exchange: A Quality-aware Spatial-Stereo Fusion Approach for Event Stream Recognitioncited by 3
- 2024Online Pseudo-Zeroth-Order Training of Neuromorphic Spiking Neural Networkscited by 3
50 most cited of 89 All 89 (JSON)
- 2026Noisy group neurons with synchronous resetting for high-performance spiking neural networks18 Aug 2026
- 2026Vision SmolMamba: Spike-Guided Token Pruning for Energy-Efficient Spiking State-Space Vision Models28 Apr 2026
- 2026BSViT: A Burst Spiking Vision Transformer for Expressive and Efficient Visual Representation Learning25 Apr 2026
- 2026Neuronal Self-Adaptation Enhances Capacity and Robustness of Representation in Spiking Neural Networks21 Mar 2026
- 2026ChronoSpike: An Adaptive Spiking Graph Neural Network for Dynamic Graphs1 Feb 2026
- 2025A Closer Look at Knowledge Distillation in Spiking Neural Network Training10 Nov 2025
- 2025All in one timestep: Enhancing Sparsity and Energy efficiency in Multi-level Spiking Neural Networks28 Oct 2025
- 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
- 2025A Self-Ensemble Inspired Approach for Effective Training of Binary-Weight Spiking Neural Networks18 Aug 2025
- 2025Training-Free ANN-to-SNN Conversion for High-Performance Spiking Transformer11 Aug 2025
- 2025ParaRevSNN: A Parallel Reversible Spiking Neural Network for Efficient Training and Inference2 Aug 2025
38 more
- 2025SDSNN: A Single-Timestep Spiking Neural Network with Self-Dropping Neuron and Bayesian Optimization1 Aug 2025
- 2025IML-Spikeformer: Input-aware Multi-Level Spiking Transformer for Speech Processing10 Jul 2025
- 2025Optimization of Low-Latency Spiking Neural Networks Utilizing Historical Dynamics of Refractory Periods30 Jun 2025
- 2025Towards Efficient and Accurate Spiking Neural Networks via Adaptive Bit Allocation30 Jun 2025
- 2025Efficient Parallel Training Methods for Spiking Neural Networks with Constant Time Complexity10 Jun 2025
- 2025ReverB-SNN: Reversing Bit of the Weight and Activation for Spiking Neural Networks9 Jun 2025
- 2025Integer Binary-Range Alignment Neuron for Spiking Neural Networks6 Jun 2025
- 2025TDFormer: A Top-Down Attention-Controlled Spiking Transformer17 May 2025
- 2025ILIF: Temporal Inhibitory Leaky Integrate-and-Fire Neuron for Overactivation in Spiking Neural Networks15 May 2025
- 2025Revisiting Reset Mechanisms in Spiking Neural Networks for Sequential Modeling: Specialized Discretization for Binary Activated RNN24 Apr 2025
- 2025Efficient ANN-Guided Distillation: Aligning Rate-based Features of Spiking Neural Networks through Hybrid Block-wise Replacement20 Mar 2025
- 2025On the Privacy-Preserving Properties of Spiking Neural Networks with Unique Surrogate Gradients and Quantization Levels25 Feb 2025
- 2025Temporal Misalignment in ANN-SNN Conversion and Its Mitigation via Probabilistic Spiking Neurons20 Feb 2025
- 2025On the Privacy Risks of Spiking Neural Networks: A Membership Inference Analysis18 Feb 2025
- 2025TESS: A Scalable Temporally and Spatially Local Learning Rule for Spiking Neural Networks3 Feb 2025
- 2025Efficient Logit-based Knowledge Distillation of Deep Spiking Neural Networks for Full-Range Timestep Deployment27 Jan 2025
- 2024Adaptive Calibration: A Unified Conversion Framework of Spiking Neural Network18 Dec 2024
- 2024FSTA-SNN:Frequency-based Spatial-Temporal Attention Module for Spiking Neural Networks15 Dec 2024
- 2024Scaling Spike-driven Transformer with Efficient Spike Firing Approximation Training25 Nov 2024
- 2024Spiking Graph Neural Network on Riemannian Manifolds23 Oct 2024
- 2024Advancing Training Efficiency of Deep Spiking Neural Networks through Rate-based Backpropagation15 Oct 2024
- 2024A dynamic vision sensor object recognition model based on trainable event-driven convolution and spiking attention mechanism19 Sep 2024
- 2024Event Stream based Human Action Recognition: A High-Definition Benchmark Dataset and Algorithms19 Aug 2024
- 2024Online Pseudo-Zeroth-Order Training of Neuromorphic Spiking Neural Networks17 Jul 2024
- 2024Retain, Blend, and Exchange: A Quality-aware Spatial-Stereo Fusion Approach for Event Stream Recognition27 Jun 2024
- 2024SVFormer: A Direct Training Spiking Transformer for Efficient Video Action Recognition21 Jun 2024
- 2024Self-Distillation Learning Based on Temporal-Spatial Consistency for Spiking Neural Networks12 Jun 2024
- 2024NeuroMoCo: A Neuromorphic Momentum Contrast Learning Method for Spiking Neural Networks10 Jun 2024
- 2024SpikeLM: Towards General Spike-Driven Language Modeling via Elastic Bi-Spiking Mechanisms5 Jun 2024
- 2024Temporal Spiking Neural Networks with Synaptic Delay for Graph Reasoning27 May 2024
- 2024Direct Training Needs Regularisation: Anytime Optimal Inference Spiking Neural Network15 Apr 2024
- 2024Continuous Spiking Graph Neural Networks2 Apr 2024
- 2024FTBC: Forward Temporal Bias Correction for Optimizing ANN-SNN Conversion27 Mar 2024
- 2024Fourier or Wavelet bases as counterpart self-attention in spikformer for efficient visual classification27 Mar 2024
- 2024EventRPG: Event Data Augmentation with Relevance Propagation Guidance14 Mar 2024
- 2024Hebbian Learning based Orthogonal Projection for Continual Learning of Spiking Neural Networks19 Feb 2024
- 2024TIM: An Efficient Temporal Interaction Module for Spiking Transformer22 Jan 2024
- 2024LMUFormer: Low Complexity Yet Powerful Spiking Model With Legendre Memory Units20 Jan 2024
50 newest of 89 All 89 (JSON)
- 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
- 2025Enhanced Self-Distillation Framework for Efficient Spiking Neural Network Trainingcited by 0
- 2025A Closer Look at Knowledge Distillation in Spiking Neural Network Trainingcited by 0
- 2025A Closer Look at Knowledge Distillation in Spiking Neural Network Training10 Nov 2025
- 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
- 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
- 2022Spikformer: When Spiking Neural Network Meets Transformercited by 271
- 2023Spike-driven Transformercited by 146
- 2024Scaling Spike-driven Transformer with Efficient Spike Firing Approximation Trainingcited by 59
- 2022Online Training Through Time for Spiking Neural Networkscited by 49
- 2023Parallel Spiking Neurons with High Efficiency and Ability to Learn Long-term Dependenciescited by 41
- 2023Bridging the Gap between ANNs and SNNs by Calibrating Offset Spikescited by 40
- 2023Ternary Spike: Learning Ternary Spikes for Spiking Neural Networkscited 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
- 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
- 2024Spikformer V2: Join the High Accuracy Club on ImageNet with an SNN Ticketcited by 30
12 most cited of 82 All 82 (JSON)
- 2026Noisy group neurons with synchronous resetting for high-performance spiking neural networks18 Aug 2026
- 2026BSViT: A Burst Spiking Vision Transformer for Expressive and Efficient Visual Representation Learning25 Apr 2026
- 2026Neuronal Self-Adaptation Enhances Capacity and Robustness of Representation in Spiking Neural Networks21 Mar 2026
- 2026ChronoSpike: An Adaptive Spiking Graph Neural Network for Dynamic Graphs1 Feb 2026
- 2025All in one timestep: Enhancing Sparsity and Energy efficiency in Multi-level Spiking Neural Networks28 Oct 2025
- 2025A Self-Ensemble Inspired Approach for Effective Training of Binary-Weight Spiking Neural Networks18 Aug 2025
- 2025Training-Free ANN-to-SNN Conversion for High-Performance Spiking Transformer11 Aug 2025
- 2025ParaRevSNN: A Parallel Reversible Spiking Neural Network for Efficient Training and Inference2 Aug 2025
- 2025SDSNN: A Single-Timestep Spiking Neural Network with Self-Dropping Neuron and Bayesian Optimization1 Aug 2025
- 2025IML-Spikeformer: Input-aware Multi-Level Spiking Transformer for Speech Processing10 Jul 2025
- 2025Optimization of Low-Latency Spiking Neural Networks Utilizing Historical Dynamics of Refractory Periods30 Jun 2025
- 2025Towards Efficient and Accurate Spiking Neural Networks via Adaptive Bit Allocation30 Jun 2025
12 newest of 82 All 82 (JSON)