On recovery of regular ridge functions

DOI10.1134/S0001434621010351zbMath1469.41014OpenAlexW3179750716MaRDI QIDQ2037666

T. I. Zaitseva, K. S. Ryutin, Yuri V. Malykhin

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621010351

zbMATH Keywords

curse of dimensionalityridge functionsrecovery of functions

Mathematics Subject Classification ID

Multidimensional problems (41A63)

Related Items (1)

Recovery of regular ridge functions on the ball

Cites Work

• Tractability of multivariate problems for standard and linear information in the worst case setting. I.
• Learning functions of few arbitrary linear parameters in high dimensions
• Learning non-parametric basis independent models from point queries via low-rank methods
• Entropy and sampling numbers of classes of ridge functions
• Stable extrapolation of analytic functions
• The recovery of ridge functions on the hypercube suffers from the curse of dimensionality
• Optimal rates and adaptation in the single-index model using aggregation
• Capturing ridge functions in high dimensions from point queries

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