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05/29/2023
Optimal approximation of infinite-dimensional holomorphic functions
Over the last decade, approximating functions in infinite dimensions fro...
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11/22/2022
Near-optimal learning of Banach-valued, high-dimensional functions via deep neural networks
The past decade has seen increasing interest in applying Deep Learning (...
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03/25/2022
On efficient algorithms for computing near-best polynomial approximations to high-dimensional, Hilbert-valued functions from limited samples
Sparse polynomial approximation has become indispensable for approximati...
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02/04/2022
Towards optimal sampling for learning sparse approximation in high dimensions
In this chapter, we discuss recent work on learning sparse approximation...
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12/11/2020