Organizations: Department of Applied Mathematics, School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, China · Center for Intersection of Mathematics and Life Sciences, Xi’an Jiaotong University, Xi’an 710049, China · The Key Laboratory of Biomedical Information Engineering of Ministry of Education, Institute of Health and Rehabilitation Science, School of Life Science and Technology, Xi’an Jiaotong University, Xi’an 710049, China · Research Center for Brain-inspired Intelligence, Xi’an Jiaotong University, Xi’an 710049, China
Spiking neural networks (SNNs), characterized by bio-inspired neuronal dynamics and event-driven communication, have attained significant progress in recent years. Nevertheless, training deep SNNs remains challenging due to spatiotemporal information loss and gradient mismatching. To simultaneously address these issues, we propose a noisy group neuron (NGN) model, which incorporates population-level synchronous resetting and neural stochasticity as fundamental computational mechanisms. We then develop the NGN method as a framework that combines the NGN model with backpropagation learning based on mean-field dynamics. We demonstrate the advantages of the NGN method through theoretical analysis and experimental validation on CIFAR-10, CIFAR-100, Tiny-ImageNet, DVS-Gesture, N-Caltech101, and CIFAR10-DVS. The proposed approach achieves an accuracy of 87.35% on CIFAR10-DVS within 10 inference time steps. These results support NGN as a practical approach to high-performance neuromorphic computing.
Figures & tables
Neuron
Metric
σ=0
σ=0.25
σ=0.5
σ=0.75
σ=1
Net neuron 1
MI
0.30
0.43
0.47
0.44
0.37
Acc(%)
91.19
93.22
94.50
70.27
9.23
Block1.neuron1
MI
0.21
0.32
0.35
0.33
0.28
Acc(%)
92.37
93.60
94.50
76.20
9.09
Block1.neuron2
MI
0.41
0.54
0.55
0.49
0.41
Acc(%)
92.12
93.82
94.50
79.75
10.12
Table 1: The relationship between neuronal mutual information and network performance.
Figure 2: Stochastic resonance behavior of the NGN model characterized by the input-output mutual information MI(It,n−1,Oˉt,n) under the recorded presynaptic Gaussian inputs and non-Gaussian inputs. The Gaussian presynaptic input (a) and the corresponding input-output mutual information versus noise intensity are shown in the first row under different group sizes or iteration: (b) t=1 ; (c) K=4 . Here, the theoretical prediction is shown in solid curves and the simulated results are shown in dashed curves. The shaded regions represent one standard deviation of the data. The non-Gaussian input (d) and the corresponding mutual information are shown in the second row under different group sizes or iteration steps: (e) t=1 ; (f) K=4 . The initial noise intensity for training ResNet-18 is σ0=0.5 . The quantile-quantile (Q-Q) plot embedded in (a) and (d) signifies how the presynaptic input deviates from Gaussian distribution. The non-monotonic curves in (b), (c), (e) and (f) manifest the occurrence of stochastic resonance.
Figure 3: Flowcharts of the fully connected N -layer SNNs: (a) a general procedure and (b) the NGN-based procedure. Forward spike propagation and backward loss propagation are symmetric in gradient learning. Here, ∂wn∂L represents the gradient of the loss L with respect to the weights wn for n=1,2,… .
Figure 5: Comparison of gradient mismatching levels and training loss between the baseline LIF method and the NGN method with different sizes K . (a-c) The logarithm of the gradient mismatching probability logDε(o,o0) calculated according to Eq. ( 24 ) for ε=0.1 , 0.25 , and 0.4 , respectively. (d-e) Training loss curves on CIFAR-10 and CIFAR-100 datasets.
Dataset
Method
Architecture
Time steps
Top1-Accuracy
CIFAR-10
STBP-tdBN [ 39 ]
ResNet-19
6
93.16
TET [ 42 ]
ResNet-19
6
94.50
IM-LOSS [ 12 ]
ResNet-19
2
93.85
NSNN [ 21 ]
CIFAR Net
4
94.30
Diet-SNN [ 45 ]
VGG-16
4
92.76
CLIF+TET [ 46 ]
ResNet-18
8
96.69*
Table 2: Comparison of the NGN method ( K=16 ) with several existing methods on static image datasets, with * denoting the cooperation of Cutout and/or data auto-augmentation techniques.
Dataset
Method
Architecture
Time steps
Top1-Accuracy
DVS-Gesture
NSNN+TET [ 21 ]
7B-Net
16
96.88
SSNN [ 50 ]
VGG-9
8
94.91
TET † [ 42 ]
SNN-5
10
95.46
DSGM+DTAM [ 51 ]
SNN-5
10
96.69
NGN+TET
SNN-5
10
97.88 ± 0.29
N-Caltech101
SSNN [ 50 ]
VGG-9
8
79.25
Table 3: Comparison of the NGN method with TET loss implementation with the existing methods on neuromorphic image datasets, with † denoting the implemented results by us.
Neuron
Accuracy (%)
Loss
CIFAR-10
Vanilla LIF
93.94
0.3853
CLIF
94.00
0.3807
Vanilla NLIF
93.69
0.3981
Bernoulli NLIF
92.87
0.4056
NGN
95.17
0.3385
Table 4: Test accuracy and loss of neuron models on CIFAR datasets using ResNet-18 with TET ( T=4 , K=8 ).
Variant
K
Memory (MB)
Time/epoch (s)
Accuracy (%)
LIF (Gaussian surrogate)
1
2235.8
79.2
94.23
Noisy LIF
1
2237.4
81.8
93.32
NGN with synchronous resetting
8
2253.7
129.0
95.16
NGN w/o shared resetting
8
8933.8
791.5
95.10
Table 5: Component ablation on CIFAR-10. Peak memory and time per epoch characterize training cost, and Accuracy reports the best test accuracy over 200 epochs.
Spiking Neural Networks (SNNs) have emerged with promising energy-efficient property, yet a substantial performance gap persists compared to Artificial Neural Networks (ANNs). This gap stems from at least two key limitations: first, conventional spiking neurons offer limited information representation capacity, underutilizing the rich dynamics of membrane potentials; second, fixed surrogate gradient (SG) functions across time steps leads to imprecise gradient propagation, impeding effective direct training. To address these two challenges, we propose a new direct training algorithm with three core innovations: first, a circulate-firing spiking neuron model that enhances information representation capacity by leveraging membrane potentials more effectively; second, a time-step-wise learnable surrogate gradient function, enabling accurate gradient estimation during backpropagation; third, a positive-negative balanced loss function to achieve equilibrium between positive and negative membrane potentials and further boost SNN performance. Extensive experiments demonstrate that our methods achieve competitive performance across multiple datasets. Our methods can generalize seamlessly to advanced architectures of Transformer, consistently outperforming existing methods. Our work highlights the effectiveness of further harnessing intrinsic membrane dynamics of SNNs for performance improvement, and thus open a new avenue for advancing high-performance spiking neural architectures.
Feifan Zhou, Xiang Wei, Yang Liu +1
School of Artificial and Intelligence, Tianjin University, Tianjin 300072, China
The performance of deep spiking neural networks (SNNs) often relies on batch normalization (BN). However, the advanced dynamic BN variants used in state-of-the-art models introduce runtime multiplications, which weaken the hardware-efficiency motivation of SNNs. To address this tension, we identify catastrophic firing-rate decay as a primary cause of severe performance degradation in normalization-free SNNs. Guided by this insight, this work proposes the Intrinsically Stable SNN (IS-SNN) architecture, which removes activation-normalization layers by enforcing signal homeostasis through topology-aware weight standardization and modified residual connections. By folding the standardization operations into static weights offline, IS-SNN removes the runtime statistics tracking and multiplications introduced by activation normalization, restoring an accumulation-oriented inference datapath. Comprehensive experiments show that IS-SNN achieves performance competitive with or superior to computationally expensive dynamic BN techniques across VGG, ResNet, and Transformer-based models. Notably, it achieves a competitive accuracy of 68.05% on ImageNet and overcomes the severe depth limitations of prior BN-free attempts. Together with a 96.4% reduction in FPGA lookup table resource consumption for neuron implementations, these results support IS-SNN as a practical framework for building accurate and hardware-friendly deep neuromorphic systems.
Ruichen Ma, Xiaoyang Zhang, Jian Bai +5
University of Electronic Science and Technology of China (UESTC) · Beijing Institute of Remote-Sensing Equipment · Shenzhen Institute for Advanced Study, UESTC
Spiking neural networks (SNNs) promise low-power event-driven computation for temporally rich tasks, but commonly used neuron models often trade off gradient-based trainability, dynamical richness, and high activity sparsity. These limitations are acute in regression, where approximation error, noise and spike discretization can severely degrade continuous-valued outputs. Indeed, many state-of-the-art (SOTA) SNNs rely on simple phenomenological dynamics trained with surrogate gradients and offer limited control over spiking diversity and sparsity. To overcome such limitations, we introduce multi-timescale conductance spiking networks, a gradient-trainable framework in which neural dynamics emerge from shaping the current-voltage (I-V) curve by tuning fast, slow and ultra-slow conductances. This parametrization allows systematic control over excitability, can be implemented efficiently in analog circuits, and yields rich firing regimes including tonic, phasic and bursting responses within a single model. We derive a discrete-time formulation of these differentiable dynamics, enabling direct backpropagation through time without surrogate-gradient approximations. To probe both trainability and accuracy, we evaluate feedforward networks of these neurons at the predictability limit of Mackey-Glass time-series regression and compare them to baseline LIF and SOTA AdLIF networks. Our model outperforms LIF and AdLIF networks, while exhibiting substantially sparser activity from both communication and computational perspectives. These results highlight multi-timescale conductance spiking neurons as a promising building block for energy-aware temporal processing and neuromorphic implementation.
Alex Fulleda-Garcia, Saray Soldado-Magraner, Josep Maria Margarit-Taulé
Instituto de Microelectrónica de Barcelona (IMB-CNM), Consejo Superior de Investigaciones Científicas (CSIC) Cerdanyola del Vallès, Spain · Department of Neurobiology, University of California Los Angeles (UCLA) Los Angeles, USA · Joint Senior authors