Surrogate Gradient Learning in Spiking Neural Networks
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Abstract (arXiv)
Spiking neural networks are nature's versatile solution to fault-tolerant and energy efficient signal processing. To translate these benefits into hardware, a growing number of neuromorphic spiking neural network processors attempt to emulate biological neural networks. These developments have created an imminent need for methods and tools to enable such systems to solve real-world signal processing problems. Like conventional neural networks, spiking neural networks can be trained on real, domain specific data. However, their training requires overcoming a number of challenges linked to their binary and dynamical nature. This article elucidates step-by-step the problems typically encountered when training spiking neural networks, and guides the reader through the key concepts of synaptic plasticity and data-driven learning in the spiking setting. To that end, it gives an overview of existing approaches and provides an introduction to surrogate gradient methods, specifically, as a particularly flexible and efficient method to overcome the aforementioned challenges.
Key facts. Cited by 604 papers in the map (data through 7 Oct 2026). First posted on arXiv 28 Jan 2019.
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Citing papers per year: 2021: 57; 2022: 62; 2023: 116; 2024: 118; 2025: 127; 2026: 124.
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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
- 2023Spike-driven Transformercited by 141
- 2021Accurate and efficient time-domain classification with adaptive spiking recurrent neural networkscited by 113
- 2021A Free Lunch From ANN: Towards Efficient, Accurate Spiking Neural Networks Calibrationcited by 111
- 2021Temporal-wise Attention Spiking Neural Networks for Event Streams Classificationcited by 106
- 2022Attention Spiking Neural Networkscited by 103
- 2021Self-Supervised Learning of Event-Based Optical Flow with Spiking Neural Networkscited by 99
- 2024Spike-driven Transformer V2: Meta Spiking Neural Network Architecture Inspiring the Design of Next-generation Neuromorphic Chipscited by 97
38 more
- 2022Training High-Performance Low-Latency Spiking Neural Networks by Differentiation on Spike Representationcited by 89
- 2023SpikeGPT: Generative Pre-trained Language Model with Spiking Neural Networkscited by 82
- 2022Object Detection with Spiking Neural Networks on Automotive Event Datacited by 79
- 2021Advancing Spiking Neural Networks towards Deep Residual Learningcited by 76
- 2023Deep Directly-Trained Spiking Neural Networks for Object Detectioncited by 76
- 2021Predictive Coding: a Theoretical and Experimental Reviewcited by 74
- 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
- 2024Scaling Spike-driven Transformer with Efficient Spike Firing Approximation Trainingcited by 57
- 2021Beyond Classification: Directly Training Spiking Neural Networks for Semantic Segmentationcited by 54
- 2022Neural Architecture Search for Spiking Neural Networkscited by 52
- 2023Speck: A Smart event-based Vision Sensor with a low latency 327K Neuron Convolutional Neuronal Network Processing Pipelinecited by 50
- 2022Online Training Through Time for Spiking Neural Networkscited by 48
- 2023Learning Delays in Spiking Neural Networks using Dilated Convolutions with Learnable Spacingscited by 48
- 2024QKFormer: Hierarchical Spiking Transformer using Q-K Attentioncited by 46
- 2021Pruning of Deep Spiking Neural Networks through Gradient Rewiringcited by 41
- 2021Sparse Spiking Gradient Descentcited by 41
- 2023Constructing Deep Spiking Neural Networks from Artificial Neural Networks with Knowledge Distillationcited by 41
- 2023Parallel Spiking Neurons with High Efficiency and Ability to Learn Long-term Dependenciescited 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
- 2023Reducing ANN-SNN Conversion Error through Residual Membrane Potentialcited by 39
- 2023Towards Memory- and Time-Efficient Backpropagation for Training Spiking Neural Networkscited by 37
- 2024OpenESS: Event-based Semantic Scene Understanding with Open Vocabulariescited by 37
- 2023Ternary Spike: Learning Ternary Spikes for Spiking Neural Networkscited by 36
- 2023Spiking PointNet: Spiking Neural Networks for Point Cloudscited by 34
- 2021Accurate online training of dynamical spiking neural networks through Forward Propagation Through Timecited by 33
- 2022TCJA-SNN: Temporal-Channel Joint Attention for Spiking Neural Networkscited by 33
- 2023Optical flow estimation from event-based cameras and spiking neural networkscited by 33
- 2021A Long Short-Term Memory for AI Applications in Spike-based Neuromorphic Hardwarecited by 32
- 2021Applications and Techniques for Fast Machine Learning in Sciencecited by 32
- 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
- 2023Fully neuromorphic vision and control for autonomous drone flightcited by 30
- 2023SpikePoint: An Efficient Point-based Spiking Neural Network for Event Cameras Action Recognitioncited by 30
- 2023Training an Ising Machine with Equilibrium Propagationcited by 29
- 2024SpikeLLM: Scaling up Spiking Neural Network to Large Language Models via Saliency-based Spikingcited by 29
50 most cited of 604 All 604 (JSON)
- 2026Multi-Depth Temporal Fusion for Feedforward, Locally Trained Spiking Neural Networks29 Sep 2026
- 2026Stealth Is a Relation, Not a Property: How Event Representations Create Blind Spots for Timing Attacks in Event-Based Perception28 Sep 2026
- 2026Extremely Fast and Compact Binary Graph Representations via Randomized Operator Sketching26 Sep 2026
- 2026RIPE-MambaSpike: Resolution-Independent Spiking-State-Space Interfaces for Parameter-Efficient Event-Based Vision26 Sep 2026
- 2026DS-VLA: A Dendritic-inspired Vision-Language-Action Model for Robust Action Control26 Sep 2026
- 2026Leakage-Safe Machine Learning for Hydrogen Embrittlement Detection in 316L Stainless Steel: A Region-Held-Out Evaluation of Texture and Deep Features in SEM Micrographs23 Sep 2026
- 2026Event-Frame Fusion for Inter-Frame Segmentation via Event-Guided Motion18 Sep 2026
- 2026Predictive Suppression Layers for Communication-Efficient Spiking Neural Networks18 Sep 2026
- 2026Optical-Flow Wingbeat Counting in MuJoCo: A Comparison of Convolutional, Spiking, and Attention-Based Temporal Models15 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
- 2026SymbolicLight V2: Hybrid Neuromorphic Architecture and Sparse Execution for Low-Energy Language Inference9 Sep 2026
38 more
- 2026Robust Industrial Cyber Physical Classification Using Neuromorphic Temporal Embeddings and Hybrid SNN XGBoost Under Machine Unlearning Attacks9 Sep 2026
- 2026A Gradient-based yet Spike-Timing-Dependent Solution to the Feedback Learning Problem in Neural Microcircuits8 Sep 2026
- 2026SpikeOPD: Stable On-Policy Distillation for Autoregressive Spiking Language Models28 Aug 2026
- 2026ANTShapes Benchmarking Datasets for Event-Based Neuromorphic Object Classification27 Aug 2026
- 2026MeMark: Membrane-Space Watermarking for Spiking Neural Networks26 Aug 2026
- 2026Spiking Neural Networks for Continuous Control: Neuromorphic Reinforcement Learning in Conventional Computing24 Aug 2026
- 2026Spiking Neural Networks for Energy-Efficient Object Detection in Forward-Looking Sonar Imagery22 Aug 2026
- 2026E-S2Feat:Semantic-Guided Spiking Local Feature Detection and Description for Event Cameras14 Aug 2026
- 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
- 2026SpikeWorld: Fast-State Adaptation for Frozen Spiking World Models7 Aug 2026
- 2026PTQ4SNN: Membrane-Aware Post-Training Quantization for Spiking Neural Networks7 Aug 2026
- 2026Breaking Diversity Collapse in Spiking Pseudo-Ensembles for Efficient OOD Detection in Remote Sensing2 Aug 2026
- 2026Temporal Poisoning: Clean-Label Backdoors via Event Redistribution in SNNs30 Jul 2026
- 2026Sequence-SOD: Bio-inspired Sequence-aware Spiking ObjectDetection for Event Cameras29 Jul 2026
- 2026Neuromorphic Object Detection: An In-Depth Study and Future Directions26 Jul 2026
- 2026Current Injection Spiking Neural Network for Infrared and Visible Image Fusion22 Jul 2026
- 2026Bio-SFT: Asymmetric Cortical Guidance and Retinal Adaptation for Robust HDR Reconstruction20 Jul 2026
- 2026Scalable Training of Continuous-Time Spiking Neural Networks with Differentiable Spike-Time Discretization16 Jul 2026
- 2026ASUMOT: Motion-Consistency-Based Asynchronous UAV Detection and Tracking with Event Cameras13 Jul 2026
- 2026Beyond Backpropagation: Monte Carlo Method Can Train Deep Neural Networks9 Jul 2026
- 2026Efficient Perception in Automotive Detection and Tracking Using Neuromorphic Computing6 Jul 2026
- 2026BitFair: A 12-nm Bit-Serial CNN Accelerator with Learnable Early Termination and Adaptive Bit Ordering for Ultra-Low-Power XR Vision4 Jul 2026
- 2026Dendritic In-Context Learning in a Single-Layer Spiking Neural Network2 Jul 2026
- 2026Intrinsically Stable Spiking Neural Networks: Overcoming the Performance Barrier in the Absence of Batch Normalization30 Jun 2026
- 2026Neuromorphic Speech Enhancement with Dual-Branch Spiking Neural Networks22 Jun 2026
- 2026Following the Flow: Advection-Consistent Modeling for Event-based Small Object Detection21 Jun 2026
- 2026Hybrid ANN-SNN Pipeline with Local Plasticity18 Jun 2026
- 2026Adaptive Speech-to-Spike Encoding for Spiking Neural Networks17 Jun 2026
- 2026A Neuromorphic Trigger for Efficient Audio Event Detection16 Jun 2026
- 2026LongSpike: Fractional Order Spiking State Space Models for Efficient Long Sequence Learning11 Jun 2026
- 2026SpikeDecoder: Realizing the GPT Architecture with Spiking Neural Networks10 Jun 2026
- 2026SpikeTAD: Spiking Neural Networks for End-to-End Temporal Action Detection10 Jun 2026
- 2026Spiking Neural Network inference on FPGAs with hls4ml8 Jun 2026
- 2026Quadratic integrate-and-fire neurons exhibit less fragmented loss landscapes and outperform leaky integrate-and-fire neurons in spike-based gradient descent2 Jun 2026
- 2026PSViT: A Methodology for Structurally Pruning Spiking Vision Transformers2 Jun 2026
- 2026Spike-Aware INT8 Execution for Spiking Language Models on Commodity CPUs2 Jun 2026
- 2026A2SG:Adaptive and Asymmetric Surrogate Gradients for Training Deep Spiking Neural Networks29 May 2026
50 newest of 604 All 604 (JSON)
- 2023Spiking Denoising Diffusion Probabilistic Modelscited by 18
- 2024SDiT: Spiking Diffusion Model with Transformercited by 4
- 2024Spiking Diffusion Modelscited by 3
- 2024Brain-inspired Action Generation with Spiking Transformer Diffusion Policy Modelcited by 1
- 2025Biologically Inspired Spiking Diffusion Model with Adaptive Lateral Selection Mechanismcited by 0
- 2025Biologically Inspired Spiking Diffusion Model with Adaptive Lateral Selection Mechanism31 Mar 2025
- 2024Brain-inspired Action Generation with Spiking Transformer Diffusion Policy Model15 Nov 2024
- 2024Spiking Diffusion Models29 Aug 2024
- 2024SDiT: Spiking Diffusion Model with Transformer18 Feb 2024
- 2023Spiking Denoising Diffusion Probabilistic Models29 Jun 2023
- 2023Spiking Structured State Space Model for Monaural Speech Enhancementcited by 23
- 2025SiLIF: Structured State Space Model Dynamics and Parametrization for Spiking Neural Networkscited by 2
- 2026NeuronSpark: A Spiking Neural Network Language Model with Selective State Space Dynamicscited by 0
- 2026RIPE-MambaSpike: Resolution-Independent Spiking-State-Space Interfaces for Parameter-Efficient Event-Based Visioncited by 0
- 2026RIPE-MambaSpike: Resolution-Independent Spiking-State-Space Interfaces for Parameter-Efficient Event-Based Vision26 Sep 2026
- 2026NeuronSpark: A Spiking Neural Network Language Model with Selective State Space Dynamics17 Mar 2026
- 2025SiLIF: Structured State Space Model Dynamics and Parametrization for Spiking Neural Networks4 Jun 2025
- 2023Spiking Structured State Space Model for Monaural Speech Enhancement7 Sep 2023
- 2022Reliable Decision from Multiple Subtasks through Threshold Optimization: Content Moderation in the Wildcited by 7
- 2025On the Privacy Risks of Spiking Neural Networks: A Membership Inference Analysiscited by 1
- 2026Robust Industrial Cyber Physical Classification Using Neuromorphic Temporal Embeddings and Hybrid SNN XGBoost Under Machine Unlearning Attackscited by 0
- 2026Robust Industrial Cyber Physical Classification Using Neuromorphic Temporal Embeddings and Hybrid SNN XGBoost Under Machine Unlearning Attacks9 Sep 2026
- 2025On the Privacy Risks of Spiking Neural Networks: A Membership Inference Analysis18 Feb 2025
- 2022Reliable Decision from Multiple Subtasks through Threshold Optimization: Content Moderation in the Wild16 Aug 2022
- 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
- 2023Spike-driven Transformercited by 141
- 2021Accurate and efficient time-domain classification with adaptive spiking recurrent neural networkscited by 113
- 2021A Free Lunch From ANN: Towards Efficient, Accurate Spiking Neural Networks Calibrationcited by 111
- 2021Temporal-wise Attention Spiking Neural Networks for Event Streams Classificationcited by 106
- 2022Attention Spiking Neural Networkscited by 103
- 2021Self-Supervised Learning of Event-Based Optical Flow with Spiking Neural Networkscited by 99
- 2024Spike-driven Transformer V2: Meta Spiking Neural Network Architecture Inspiring the Design of Next-generation Neuromorphic Chipscited by 97
12 most cited of 586 All 586 (JSON)
- 2026Multi-Depth Temporal Fusion for Feedforward, Locally Trained Spiking Neural Networks29 Sep 2026
- 2026Stealth Is a Relation, Not a Property: How Event Representations Create Blind Spots for Timing Attacks in Event-Based Perception28 Sep 2026
- 2026Extremely Fast and Compact Binary Graph Representations via Randomized Operator Sketching26 Sep 2026
- 2026Leakage-Safe Machine Learning for Hydrogen Embrittlement Detection in 316L Stainless Steel: A Region-Held-Out Evaluation of Texture and Deep Features in SEM Micrographs23 Sep 2026
- 2026Event-Frame Fusion for Inter-Frame Segmentation via Event-Guided Motion18 Sep 2026
- 2026Predictive Suppression Layers for Communication-Efficient Spiking Neural Networks18 Sep 2026
- 2026Optical-Flow Wingbeat Counting in MuJoCo: A Comparison of Convolutional, Spiking, and Attention-Based Temporal Models15 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
- 2026SymbolicLight V2: Hybrid Neuromorphic Architecture and Sparse Execution for Low-Energy Language Inference9 Sep 2026
- 2026A Gradient-based yet Spike-Timing-Dependent Solution to the Feedback Learning Problem in Neural Microcircuits8 Sep 2026
- 2026SpikeOPD: Stable On-Policy Distillation for Autoregressive Spiking Language Models28 Aug 2026
12 newest of 586 All 586 (JSON)