We develop a new harmonic analysis of reproducing kernels. Our approach is with view to a number of recent applications: We explore both geometric and algorithmic consequences of our analysis. The list of applications includes: feature fitting in machine learning algorithms, dynamics in large networks, spline approximation, determinantal point processes, stochastic processes, and fractals.

中文翻译：

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再现内核：谐波分析及其一些应用

我们开发了一种新的泛音核谐波分析。我们的方法是针对近期的许多应用：我们探讨了分析的几何和算法结果。应用列表包括：机器学习算法中的特征拟合，大型网络中的动力学，样条逼近，行列式点过程，随机过程和分形。