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Spiking Neural Networks Need High-Frequency Information
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Argues that spiking neurons act as low-pass filters that suppress high-frequency information in SNNs, and proposes Max-Former (Spiking Transformer with extra Max-Pool in patch embedding and depth-wise convolution replacing early self-attention) plus Max-ResNet, reaching 82.39% on ImageNet and 97.17% on CIFAR-10 with direct training.
Problem
Spiking neural networks lag behind ANNs in accuracy; the common explanation (binary spike representation error) is questioned, and the paper asks whether frequency properties of spiking neurons limit feature representation.
Approach
Spiking neurons' membrane dynamics form a first-order IIR low-pass filter, so SNNs propagate low-frequency information; restoring high-frequency signals via Max-Pool (high-pass) in patch embedding and depth-wise convolution in early stages improves Spiking Transformers and ResNets.
Key results
- Max-Former-10-768 (T=4) reaches 82.39% top-1 on ImageNet with 63.99M params and 14.87 mJ, versus Spikformer 74.81% (66.34M).
- Max-Former achieves 97.04% on CIFAR-10 and 82.65% on CIFAR-100 at T=4 with 6.57M params, outperforming MS-QKFormer (96.84%, 81.57%) under identical training.
- Max-ResNet-18 (direct training) reaches 97.17% on CIFAR-10 and 83.06% on CIFAR-100, improving MS-ResNet-18 by +2.25% and +6.65%.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| replace Avg-Pool with Max-Pool across all token-mixing stages (ablation) | Spiking Transformer with Embed-Orig patch embedding · CIFAR-100 | accuracy: 76.73% to 79.12% | Helped |
| add Max-Pool in the middle patch-embedding block (ablation) | Spiking Transformer · CIFAR-100 | accuracy: 80.11% to 80.46% | Helped |
| replace Embed-Orig/Embed-Max/Embed-Max with Embed-Orig/Embed-Orig/Embed-Orig (ablation) | Max-Former · CIFAR-100 | accuracy: 82.65% to 81.63% | Hurt |
| replace first-stage Embed-Max+ with Embed-Orig (ablation) | Max-Former · CIFAR10-DVS | accuracy: 84.2% to 81.5% | Hurt |
| replace early-stage DWC token mixing with SSA (ablation) | Max-Former · CIFAR-100 | accuracy: 82.23% to 82.65% | Hurt |
| replace DWC-3 + SSA hybrid token mixing with full SSA (ablation) | Max-Former · CIFAR10-DVS | accuracy: 83.9% to 84.2% | Hurt |
| use larger DWC-5/DWC-7 kernels instead of the DWC-3 configuration (ablation) | Max-Former · CIFAR-100 | accuracy: -0.63% | Hurt |
| use DWC-5/DWC-7 instead of DWC-3 (ablation) | Max-Former · CIFAR10-DVS | accuracy: -2.1% | Hurt |
| use DWC-1 instead of DWC-3 for token mixing (ablation) | Max-Former · CIFAR10-DVS | accuracy: 81.2% vs 84.2% | Hurt |
| add two max-pooling operations relative to MS-ResNet | MS-ResNet-18 [3, 3, 2] · CIFAR-10 | accuracy: +2.25% (94.92% to 97.17%) | Helped |
| add two max-pooling operations relative to MS-ResNet | MS-ResNet-18 [3, 3, 2] · CIFAR-100 | accuracy: +6.65% (76.41% to 83.06%) | Helped |
Surprising findings
- Replacing Avg-Pool with Max-Pool for token mixing in Spiking Transformers improves CIFAR-100 accuracy from 76.73% to 79.12%, opposite to the ANN preference for Avg-Pool.
- Spiking outputs appear spectrally all-pass due to impulse-shaped waveforms, yet the network-level propagation is low-pass.
Limitations
- Max-Former requires manually balancing high- and low-frequency components (kernel sizes, placement of Max-Pool), needing task-specific expertise.
- No error bars reported due to computational cost.
- Energy figures are theoretical SOP-based estimates rather than measured on neuromorphic hardware.
Experimental setup
Datasets: ImageNet-1k CIFAR-10 CIFAR-100 CIFAR10-DVS DVS128 Gesture
Benchmarks: ImageNet-1k CIFAR-10 CIFAR-100 CIFAR10-DVS DVS128 Gesture
Metrics: top-1 accuracy parameters (M) energy (mJ) training/inference time and memory
Baselines: Spikformer S-Transformer SWformer QKFormer MS-QKFormer MS-ResNet-18 KDSNN-ResNet-18 MST Meta-Spikformer PVT-Large DeiT-B ViT-L/16
Builds on: Spikformer QKFormer MS-ResNet Spikformer v2 SpikingJelly
Closest papers by meaning
- Balanced Resonate-and-Fire Neurons (ICML 2024 · similarity 0.89)
- FSTA-SNN:Frequency-Based Spatial-Temporal Attention Module for Spiking Neural Networks (AAAI 2025 · similarity 0.88)
- FiTS: Interpretable Spiking Neurons via Frequency Selectivity and Temporal Shaping (NeurIPS 2026 · similarity 0.88)
- Synergy Between the Strong and the Weak: Spiking Neural Networks are Inherently Self-Distillers (NeurIPS 2025 · similarity 0.88)
- Rethinking the Membrane Dynamics and Optimization Objectives of Spiking Neural Networks (NeurIPS 2024 · similarity 0.88)
- A Scalable, Causal, and Energy Efficient Framework for Neural Decoding with Spiking Neural Networks (NeurIPS 2025 · similarity 0.88)
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