Fetching the paper…
Reading the bibliography…
In this paper, we consider the harmonic extension problem, which is widely used in many applications of machine learning.
Random Walks and Electric Networks
P. G. Doyle and J. L. Snell · 1984
Earlier work this paper cites.
Spectral Graph Theory
F. R. K. Chung · 1997
Earlier work this paper cites.
Learning with local and global consistency
D. Zhou, O. Bousquet, T. N. Lal, J. Weston, and B. Schölkopf · 2003
Earlier work this paper cites.
Semi-supervised learning using gaussian fields and harmonic functions
X. Zhu, Z. Ghahramani, and J. D. Lafferty · 2003
Earlier work this paper cites.
Diffusion Maps and Geodesic Harmonics
S. Lafon · 2004
Cited alongside, same era.
Towards a theoretical foundation for laplacian-based manifold methods
M. Belkin and P. Niyogi · 2005
Cited alongside, same era.
From graphs to manifolds - weak and strong pointwise consistency of graph laplacians
M. Hein, J.-Y. Audibert, and U. von Luxburg · 2005
Cited alongside, same era.
Semi-supervised Learning with Graphs
X. Zhu · 2005
Cited alongside, same era.
Mnist database
C. J. Burges, Y. LeCun, and C. Cortes
Cited in the paper.
Z. Li, Z. Shi, and J. Sun
Cited in the paper.
Enforce the dirichlet boundary condition by volume constraint in point integral method
Z. Shi
Cited in the paper.
Convergence of the laplace-beltrami operator from point clouds
Z. Shi and J. Sun
Cited in the paper.
Spectral convergence of the connection laplacian from random samples
A. Singer and H. tieng Wu
Cited in the paper.
From graph to manifold Laplacian: The convergence rate
A. Singer · 2006
Later among the works it cites.
Convergence of laplacian eigenmaps
M. Belkin and P. Niyogi · 2008
Later among the works it cites.
Analysis and approximation of nonlocal diffusion problems with volume constraints
Q. Du, M. Gunzburger, R. B. Lehoucq, and K. 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…