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On efficient algorithms for computing near-best polynomial
  approximations to high-dimensional, Hilbert-valued functions from limited
  samples

On efficient algorithms for computing near-best polynomial approximations to high-dimensional, Hilbert-valued functions from limited samples

25 March 2022
Ben Adcock
Simone Brugiapaglia
N. Dexter
S. Moraga
ArXivPDFHTML

Papers citing "On efficient algorithms for computing near-best polynomial approximations to high-dimensional, Hilbert-valued functions from limited samples"

6 / 6 papers shown
Title
Can stable and accurate neural networks be computed? -- On the barriers
  of deep learning and Smale's 18th problem
Can stable and accurate neural networks be computed? -- On the barriers of deep learning and Smale's 18th problem
Matthew J. Colbrook
Vegard Antun
A. Hansen
93
133
0
20 Jan 2021
Deep Neural Networks Are Effective At Learning High-Dimensional
  Hilbert-Valued Functions From Limited Data
Deep Neural Networks Are Effective At Learning High-Dimensional Hilbert-Valued Functions From Limited Data
Ben Adcock
Simone Brugiapaglia
N. Dexter
S. Moraga
64
29
0
11 Dec 2020
Automatic selection of basis-adaptive sparse polynomial chaos expansions
  for engineering applications
Automatic selection of basis-adaptive sparse polynomial chaos expansions for engineering applications
Nora Lüthen
S. Marelli
Bruno Sudret
22
28
0
10 Sep 2020
Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark
Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark
Nora Lüthen
S. Marelli
Bruno Sudret
34
152
0
04 Feb 2020
Sparse Polynomial Chaos Expansions via Compressed Sensing and D-optimal
  Design
Sparse Polynomial Chaos Expansions via Compressed Sensing and D-optimal Design
Paul Diaz
Alireza Doostan
Jerrad Hampton
33
100
0
29 Dec 2017
Enhancing Sparsity of Hermite Polynomial Expansions by Iterative
  Rotations
Enhancing Sparsity of Hermite Polynomial Expansions by Iterative Rotations
Xiu Yang
H. Lei
Nathan A. Baker
Guang Lin
33
53
0
14 Jun 2015
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