Convergence of Laplacian spectra from random samples

Reading the bibliography…

Fetching the paper…

Built on

The numerical solution of the eigenvalue problem for compact integral operators
K. Atkinson · 1967
Earlier work this paper cites.
Spectral Graph Theory
F. R. K. Chung · 1997
Earlier work this paper cites.
The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds
S. Rosenberg · 1997
Earlier work this paper cites.
Laplacian eigenmaps for dimensionality reduction and data representation
M. Belkin and P. Niyogi · 2003
Earlier work this paper cites.

A few notes on statistical learning theory
S. Mendelson · 2003
Cited alongside, same era.
Diffusion Maps and Geodesic Harmonics
S. Lafon · 2004
Cited alongside, same era.
Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
R. R. Coifman, S. Lafon, A. B. Lee, M. Maggioni, F. Warner, and S. Zucker · 2005
Cited alongside, same era.
Convergence of laplacian eigenmaps
M. Belkin and P. Niyogi · 2007
Cited alongside, same era.
Point integral method for solving poisson-type equations on manifolds from point clouds with convergence guarantees
Original
Z. Li, Z. Shi, and J. Sun
Cited in the paper.
Point integral method for elliptic equation with isotropic coefficients with convergence guarantee
Original
Z. Shi
Cited in the paper.
Convergence of laplacian spectra from point clouds
Original
Z. Shi and J. Sun
Cited in the paper.
Convergence of the point integral method for the poisson equation on manifolds i: the neumann boundary
Original
Z. Shi and J. Sun
Cited in the paper.
Spectral convergence of the connection laplacian from random samples
Original
A. Singer and H. tieng Wu
Cited in the paper.

Global intrinsic symmetries of shapes
M. Ovsjanikov, J. Sun, and L. J. Guibas · 2008
Later among the works it cites.
A spectral notion of Gromov-Wasserstein distances and related methods
F. Mémoli · 2011
Later among the works it cites.
Toward understanding complex spaces: Graph laplacians on manifolds with singularities and boundaries
M. Belkin, Q. Que, Y. Wang, and X. Zhou · 2012
Later among the works it cites.

alphaXiv searches the wider corpus for related work and actual follow-ups.

alphaXiv is searching for related work…

Reading the bibliography…

Convergence of Laplacian spectra from random samples · Around

The numerical solution of the eigenvalue problem for compact integral operators
K. Atkinson · 1967
Earlier work this paper cites.
Spectral Graph Theory
F. R. K. Chung · 1997
Earlier work this paper cites.
The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds
S. Rosenberg · 1997
Earlier work this paper cites.
Laplacian eigenmaps for dimensionality reduction and data representation
M. Belkin and P. Niyogi · 2003
Earlier work this paper cites.

A few notes on statistical learning theory
S. Mendelson · 2003
Cited alongside, same era.
Diffusion Maps and Geodesic Harmonics
S. Lafon · 2004
Cited alongside, same era.
Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
R. R. Coifman, S. Lafon, A. B. Lee, M. Maggioni, F. Warner, and S. Zucker · 2005
Cited alongside, same era.
Convergence of laplacian eigenmaps
M. Belkin and P. Niyogi · 2007
Cited alongside, same era.
Point integral method for solving poisson-type equations on manifolds from point clouds with convergence guarantees
Original
Z. Li, Z. Shi, and J. Sun
Cited in the paper.
Point integral method for elliptic equation with isotropic coefficients with convergence guarantee
Original
Z. Shi
Cited in the paper.
Convergence of laplacian spectra from point clouds
Original
Z. Shi and J. Sun
Cited in the paper.
Convergence of the point integral method for the poisson equation on manifolds i: the neumann boundary
Original
Z. Shi and J. Sun
Cited in the paper.
Spectral convergence of the connection laplacian from random samples
Original
A. Singer and H. tieng Wu
Cited in the paper.

Global intrinsic symmetries of shapes
M. Ovsjanikov, J. Sun, and L. J. Guibas · 2008
Later among the works it cites.
A spectral notion of Gromov-Wasserstein distances and related methods
F. Mémoli · 2011
Later among the works it cites.
Toward understanding complex spaces: Graph laplacians on manifolds with singularities and boundaries
M. Belkin, Q. Que, Y. Wang, and X. Zhou · 2012
Later among the works it cites.

alphaXiv searches the wider corpus for related work and actual follow-ups.

alphaXiv is searching for related work…