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On the lusternik-schnirelmann category
R. H. Fox · 1941
Earlier work this paper cites.
The generalized weierstrass approximation theorem
M. H. Stone · 1948
Earlier work this paper cites.
On Estimation of a Probability Density Function and Mode
E. Parzen · 1962
Earlier work this paper cites.
Probability inequalities for sums of bounded random variables
W. Hoeffding · 1963
Earlier work this paper cites.
On a problem of adaptive estimation in gaussian white noise
O. Lepskii · 1991
Earlier work this paper cites.
Riemannian geometry , volume 6
M. P. Do Carmo and J. Flaherty Francis · 1992
Earlier work this paper cites.
Boundary regularity of maps with convex potentials–ii
L. A. Caffarelli · 1996
Earlier work this paper cites.
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R. Tibshirani · 1996
Earlier work this paper cites.
Integral probability metrics and their generating classes of functions
A. Müller · 1997
Earlier work this paper cites.
Assouad, fano, and le cam
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
Lusternik-Schnirelmann category
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Earlier work this paper cites.
Maximum likelihood estimation of intrinsic dimension
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Earlier work this paper cites.
Biochemical characterization of protein complexes from the helicobacter pylori protein interaction map: strategies for complex formation and evidence for novel interactions within type iv secretion systems
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Earlier work this paper cites.
Birkhäuser Basel, Basel, 2006
Theory of Function Spaces III · 2006
Earlier work this paper cites.
Local regression and likelihood
C. Loader · 2006
Earlier work this paper cites.
Local polynomial regression on unknown manifolds
P. J. Bickel and B. Li · 2007
Earlier work this paper cites.
Manifold-adaptive dimension estimation
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Nearly unbiased variable selection under minimax concave penalty
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Deconvolution for the Wasserstein metric and geometric inference
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Advances in matrix manifolds for computer vision
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Large scale gan training for high fidelity natural image synthesis, 2018
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Nonasymptotic rates for manifold, tangent space and curvature estimation
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High-Dimensional Statistics: A Non-Asymptotic Viewpoint
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Some theoretical properties of GANS
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Density estimation on an unknown submanifold
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