Linear Leaky-Integrate-and-Fire Neuron Model Based Spiking Neural Networks and Its Mapping Relationship to Deep Neural Networks
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Abstract (arXiv)
Spiking neural networks (SNNs) are brain-inspired machine learning algorithms with merits such as biological plausibility and unsupervised learning capability. Previous works have shown that converting Artificial Neural Networks (ANNs) into SNNs is a practical and efficient approach for implementing an SNN. However, the basic principle and theoretical groundwork are lacking for training a non-accuracy-loss SNN. This paper establishes a precise mathematical mapping between the biological parameters of the Linear Leaky-Integrate-and-Fire model (LIF)/SNNs and the parameters of ReLU-AN/Deep Neural Networks (DNNs). Such mapping relationship is analytically proven under certain conditions and demonstrated by simulation and real data experiments. It can serve as the theoretical basis for the potential combination of the respective merits of the two categories of neural networks.
Key facts. Cited by 8 papers in the map (data through 7 Oct 2026). Builds on 23 of its 73 references that are in the map. First posted on arXiv 31 May 2022.
Builds on
23 of 73 references.
References · 23
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11 more
- 2016Towards an integration of deep learning and neurosciencecited by 77
- 2020Dynamic ReLUcited by 55
- 2016Conversion of Artificial Recurrent Neural Networks to Spiking Neural Networks for Low-power Neuromorphic Hardwarecited by 39
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Citing papers per year: 2022: 1; 2023: 0; 2024: 3; 2025: 2; 2026: 2.
8 papers.
- 2022How important are activation functions in regression and classification? A survey, performance comparison, and future directionscited by 29
- 2024Sign Gradient Descent-based Neuronal Dynamics: ANN-to-SNN Conversion Beyond ReLU Networkcited by 5
- 2024Detection of Fast-Moving Objects with Neuromorphic Hardwarecited by 4
- 2025Scaling Up Resonate-and-Fire Networks for Fast Deep Learningcited by 4
- 2024Neuromorphic Correlates of Artificial Consciousnesscited by 0
- 2025SteganoSNN: SNN-Based Audio-in-Image Steganography with Encryptioncited by 0
- 2026Benchmarking Storage Systems for Machine Learning Workloads Using NIO Benchcited by 0
- 2026DVA-Neurons: Design and Verification of Adaptive LIF Neurons: From Single-Neuron Dynamics to Multi-Neuron Spiking Networkscited by 0
- 2026DVA-Neurons: Design and Verification of Adaptive LIF Neurons: From Single-Neuron Dynamics to Multi-Neuron Spiking Networks19 Sep 2026
- 2026Benchmarking Storage Systems for Machine Learning Workloads Using NIO Bench25 Apr 2026
- 2025SteganoSNN: SNN-Based Audio-in-Image Steganography with Encryption9 Nov 2025
- 2025Scaling Up Resonate-and-Fire Networks for Fast Deep Learning1 Apr 2025
- 2024Sign Gradient Descent-based Neuronal Dynamics: ANN-to-SNN Conversion Beyond ReLU Network1 Jul 2024
- 2024Neuromorphic Correlates of Artificial Consciousness3 May 2024
- 2024Detection of Fast-Moving Objects with Neuromorphic Hardware15 Mar 2024
- 2022How important are activation functions in regression and classification? A survey, performance comparison, and future directions6 Sep 2022