8 citations · 15 across the 8 of their papers we have counts for
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math.NA2017
Breaking the Curse for Uniform Approximation in Hilbert Spaces via Monte Carlo Methods
Robert J. Kunsch
We study the -approximation of -variate functions from Hilbert spaces via linear functionals as information. It is a common phenomenon in tractability studies that u…
math.NA2017★ 5 cited
Monte Carlo Methods for Uniform Approximation on Periodic Sobolev Spaces with Mixed Smoothness
Glenn Byrenheid, Robert J. Kunsch, Van Kien Nguyen
We consider the order of convergence for linear and nonlinear Monte Carlo approximation of compact embeddings from Sobolev spaces of dominating mixed smoothness defined on the toru…
math.NA2017★ 8 cited
High-Dimensional Function Approximation: Breaking the Curse with Monte Carlo Methods
Robert J. Kunsch
In this dissertation we study the tractability of the information-based complexity for -variate function approximation problems. In the deterministic setting…