arXiv:2605.20922cs.LGcs.AI2026-05

基于振荡同步的新型神经网络,可高效处理图像与逻辑任务。

Winfree Oscillatory Neural Network

论文配图:Winfree Oscillatory Neural Network
图 1 · 摘自论文原文
  • 在环面空间中用相位交互建模,结合固定或可学习的振荡机制
  • 在ImageNet上达到竞争力表现,参数量仅1%时仍胜过旧模型
  • 首次实现振荡神经网络在大规模视觉任务上的成功扩展

振荡与同步被认为在表征与计算中起基础作用。然而,现有基于同步动力学的机器学习方法多局限于特定场景(如物体发现),难以拓展至标准视觉基准或逻辑推理任务。本文提出基于广义Winfree动力学的振荡神经网络(WONN),通过在环面空间$(S^1)^d$上演化表示,利用相位诱导偏置与灵活分层的交互机制,交互方式可为固定三角映射或可学习神经网络。我们在图像识别与复杂推理任务(包括CIFAR、ImageNet、Maze-hard、Sudoku)上评估WONN,结果表明其在多个任务中表现优异且参数效率高。尤其值得注意的是,WONN是首个在ImageNet-1K上实现竞争力表现的同步型振荡架构。在Maze-hard任务中,仅使用1%的参数即达80.1%准确率,显著优于以往最优模型。这些结果表明,结构化振荡动力学为传统神经网络提供了可扩展且高效的替代方案。

原文摘要 · Abstract (English)

Oscillations and synchronization are widely believed to play a fundamental role in representation and computation. However, existing machine learning approaches based on synchronization dynamics have largely been confined to specialized settings such as object discovery, with limited evidence of scalability to standard vision benchmarks or logic reasoning tasks. We propose the Winfree Oscillatory Neural Network (WONN), a dynamical neural architecture based on generalized Winfree dynamics. WONN evolves representations on the torus $(S^1)^d$ through structured oscillatory interactions, combining phase-based inductive biases with flexible and hierarchical interaction mechanisms instantiated as either fixed trigonometric mappings or learnable neural networks. We evaluate WONN on image recognition and complex reasoning tasks, including CIFAR, ImageNet, Maze-hard, and Sudoku. Across these domains, WONN achieves competitive or superior performance with strong parameter efficiency. In particular, WONN is, to our knowledge, the first synchronization-based oscillatory architecture to scale competitively to ImageNet-1K. Furthermore, on Maze-hard, WONN achieves 80.1% accuracy using only 1% of the parameters of prior state-of-the-art models. These results suggest that structured oscillatory dynamics provide a scalable and parameter-efficient alternative to conventional neural architectures.

振荡网络参数效率逻辑推理图像识别

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