Reconstruction and Interpolation of Manifolds. I: The Geometric Whitney Problem

Charles Fefferman, Sergei Ivanov, Yaroslav Kurylev, Matti Lassas, Hariharan Narayanan

Research output: Contribution to journalArticleScientificpeer-review

Original languageEnglish
JournalFoundations of Computational Mathematics
Number of pages99
ISSN1615-3375
DOIs
Publication statusE-pub ahead of print - 13 Nov 2019
MoE publication typeA1 Journal article-refereed

Fields of Science

  • Whitney's extension problem
  • Riemannian manifolds
  • Machine learning
  • Inverse problems
  • NONLINEAR DIMENSIONALITY REDUCTION
  • M-SMOOTH FUNCTION
  • RIEMANNIAN-MANIFOLDS
  • EXTENSION PROBLEM
  • BOUNDARY
  • THEOREM
  • CONVERGENCE
  • EQUATION
  • SPACES
  • SET
  • 111 Mathematics

Cite this

Fefferman, Charles ; Ivanov, Sergei ; Kurylev, Yaroslav ; Lassas, Matti ; Narayanan, Hariharan. / Reconstruction and Interpolation of Manifolds. I : The Geometric Whitney Problem. In: Foundations of Computational Mathematics. 2019.
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title = "Reconstruction and Interpolation of Manifolds. I: The Geometric Whitney Problem",
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author = "Charles Fefferman and Sergei Ivanov and Yaroslav Kurylev and Matti Lassas and Hariharan Narayanan",
year = "2019",
month = "11",
day = "13",
doi = "10.1007/s10208-019-09439-7",
language = "English",
journal = "Foundations of Computational Mathematics",
issn = "1615-3375",
publisher = "SPRINGER NEW YORK LLC",

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Reconstruction and Interpolation of Manifolds. I : The Geometric Whitney Problem. / Fefferman, Charles; Ivanov, Sergei; Kurylev, Yaroslav; Lassas, Matti; Narayanan, Hariharan.

In: Foundations of Computational Mathematics, 13.11.2019.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Reconstruction and Interpolation of Manifolds. I

T2 - The Geometric Whitney Problem

AU - Fefferman, Charles

AU - Ivanov, Sergei

AU - Kurylev, Yaroslav

AU - Lassas, Matti

AU - Narayanan, Hariharan

PY - 2019/11/13

Y1 - 2019/11/13

KW - Whitney's extension problem

KW - Riemannian manifolds

KW - Machine learning

KW - Inverse problems

KW - NONLINEAR DIMENSIONALITY REDUCTION

KW - M-SMOOTH FUNCTION

KW - RIEMANNIAN-MANIFOLDS

KW - EXTENSION PROBLEM

KW - BOUNDARY

KW - THEOREM

KW - CONVERGENCE

KW - EQUATION

KW - SPACES

KW - SET

KW - 111 Mathematics

U2 - 10.1007/s10208-019-09439-7

DO - 10.1007/s10208-019-09439-7

M3 - Article

JO - Foundations of Computational Mathematics

JF - Foundations of Computational Mathematics

SN - 1615-3375

ER -