论文标题
广义的Lyapunov指数和深度学习理论的各个方面
Generalized Lyapunov exponents and aspects of the theory of deep learning
论文作者
论文摘要
我们讨论了某些最新的度量空间方法以及这些方法提供的某些可能性，特别关注了最初出现在动力学系统和微分方程理论中的Lyapunov指数的各种概括。这些概括例如在拓扑，群体理论，概率理论，操作者理论和深度学习中出现。
We discuss certain recent metric space methods and some of the possibilities these methods provide, with special focus on various generalizations of Lyapunov exponents originally appearing in the theory of dynamical systems and differential equations. These generalizations appear for example in topology, group theory, probability theory, operator theory and deep learning.
