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Reproducing kernels: Harmonic analysis and some of their applications
Applied and Computational Harmonic Analysis ( IF 2.6 ) Pub Date : 2020-03-05 , DOI: 10.1016/j.acha.2020.03.001 Palle Jorgensen , James Tian
中文翻译:
再现内核:谐波分析及其一些应用
更新日期:2020-04-20
Applied and Computational Harmonic Analysis ( IF 2.6 ) Pub Date : 2020-03-05 , DOI: 10.1016/j.acha.2020.03.001 Palle Jorgensen , James Tian
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:
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。