17 citations · 101 across the 37 of their papers we have counts for
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math.FA2019
New boundaries for positive definite functions
Palle Jorgensen, Feng Tian
With view to applications in stochastic analysis and geometry, we introduce a new correspondence for positive definite kernels (p.d.) and their associated reproducing kernel Hi…
math.FA2019
An Infinite Dimensional Analysis of Kernel Principal Components
Palle E. T. Jorgensen, Sooran Kang, Myung-Sin Song +1
We study non-linear data-dimension reduction. We are motivated by the classical linear framework of Principal Component Analysis. In nonlinear case, we introduce instead a new kern…
math.FA2019★ 1 cited
Superposition, reduction of multivariable problems, and approximation
Palle Jorgensen, Feng Tian
We study reduction schemes for functions of "many" variables into system of functions in one variable. Our setting includes infinite-dimensions. Following Cybenko-Kolmogorov, the o…