论文标题
大尾神经网络中的延长的安德森的批判性
Extended Anderson Criticality in Heavy-Tailed Neural Networks
论文作者
论文摘要
我们通过开发非赫米特随机矩阵理论来研究具有重尾连通性的网络中复杂动力学的出现。我们揭示了静态相和活性相之间空间多重变波的扩展临界状态的存在。这个多纹状体临界阶段结合了本地化和分离式化的特征，与古典网络中混乱边缘的特征不同，通过在相位空间中扩展区域的通用标志的出现。我们表明，扩展关键制度的丰富非线性响应属性可以解释各种神经动力学，例如时标的多样性，从而为储层环境中的持续分类提供了计算优势。
We investigate the emergence of complex dynamics in networks with heavy-tailed connectivity by developing a non-Hermitian random matrix theory. We uncover the existence of an extended critical regime of spatially multifractal fluctuations between the quiescent and active phases. This multifractal critical phase combines features of localization and delocalization and differs from the edge of chaos in classical networks by the appearance of universal hallmarks of Anderson criticality over an extended region in phase space. We show that the rich nonlinear response properties of the extended critical regime can account for a variety of neural dynamics such as the diversity of timescales, providing a computational advantage for persistent classification in a reservoir setting.
