Fetching the paper…
Reading the bibliography…
In this paper, we study a nonlocal variational problem which consists of minimizing in $L^2$ the sum of a quadratic data fidelity and a regularization term corresponding to the $L^p$-norm of the nonlocal gradient.
A method for solving the convex programming problem with convergence rate O ( 1 / k 2 ) O(1/k^{2})
Y. Nesterov · 1983
Earlier work this paper cites.
Digital Picture Processing — an Introduction
L. P. Yaroslavsky · 1985
Earlier work this paper cites.
Constructive Approximation
R. A. DeVore and G. G. Lorentz · 1993
Earlier work this paper cites.
Susan—a new approach to low level image processing
S. M. Smith and J. M. Brady · 1997
Earlier work this paper cites.
Bilateral filtering for gray and color images
C. Tomasi and R. Manduchi · 1998
Earlier work this paper cites.
Fractal geometry : mathematical foundations and applications
K. J. Falconer · 2000
Earlier work this paper cites.
On image denoising methods
A. Buades, B. Coll, and J. M. Morel · 2005
Earlier work this paper cites.
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, B. Nadler, F. Warner, and S. W. Zucker · 2005
Earlier work this paper cites.
From graphs to manifolds - weak and strong pointwise consistency of graph laplacians
M. Hein, J.-Y. Audibert, and U. von Luxburg · 2005
Earlier work this paper cites.
Regularization on discrete spaces
D. Zhou and B. Schölkopf · 2005
Earlier work this paper cites.
The phase transition in inhomogeneous random graphs
S. J. Béla Bollobás and O. Reordan · 2006
Earlier work this paper cites.
Diffusion maps
R. R. Coifman and S. Lafon · 2006
Earlier work this paper cites.
Uniform convergence of adaptive graph-based regularization
M. Hein · 2006
Earlier work this paper cites.
Limits of dense graph sequences
L. Lovász and B. Szegedy · 2006
Earlier work this paper cites.
Limits of dense graph sequences
L. Lovász and B. Szegedy · 2006
Earlier work this paper cites.
From graph to manifold laplacian: The convergence rate
A. Singer · 2006
Earlier work this paper cites.
Deblurring and Denoising of Images by Nonlocal Functionals
S. O. Stefan Kindermann and P. W. Jones · 2006
Earlier work this paper cites.
Convergence of Laplacian eigenmaps
M. Belkin and P. Niyogi · 2007
Earlier work this paper cites.
Non local demosaicing, 2007
A. Buades, B. Coll, J. michel Morel, and C. Sbert · 2007
Earlier work this paper cites.
Nonlocal linear image regularization and supervised segmentation
G. Gilboa and S. Osher · 2007
Cited alongside, same era.
A tutorial on spectral clustering
U. V. Luxburg · 2007
Cited alongside, same era.
A short- time beltrami kernel for smoothing images and manifolds
A. Spira, R. Kimmel, and N. Sochen · 2007
Cited alongside, same era.
Nonlocal Discrete Regularization on Weighted Graphs: A Framework for Image and Manifold Processing
A. Elmoataz, O. Lezoray, and S. Bougleux · 2008
Cited alongside, same era.
Nonlocal operators with applications to image processing
G. Gilboa and S. Osher · 2008
Cited alongside, same era.
Image processing with nonlocal spectral bases
G. Peyré · 2008
Cited alongside, same era.
Limits of randomly grown graph sequences
C. Borgs, J. Chayes, L. Lovász, V. Sós, and K. Vesztergombi · 2011
Later among the works it cites.
Limits of randomly grown graph sequences
C. Borgs, J. Chayes, L. Lovász, V. Sós, and K. Vesztergombi · 2011
Later among the works it cites.
Non-local regularization of inverse problems
G. Peyré, S. Bougleux, and L. Cohen · 2011
Later among the works it cites.
Error bounds for finite-difference methods for rudin–osher–fatemi image smoothing error Bounds for Finite-Difference Methods for Rudin-Osher-Fatemi Image Smoothing
J. Wang and B. J. Lucier · 2011
Later among the works it cites.
Diffuse interface models on graphs for analysis of high dimensional data
A. L. Bertozzi and A. Flenner · 2012
Later among the works it cites.
Gamma-convergence of graph ginzburg-landau functionals
Y. V. Gennip and A. L. Bertozzi · 2012
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
A general framework for adaptive regularization based on diffusion processes on graphs
A. Szlam, M. Maggioni, and R. Coifman · 2008
Cited alongside, same era.
Consistency of spectral clustering
U. von Luxburg, M. Belkin, and O. Bousquet · 2008
Cited alongside, same era.
A fast iterative shrinkage-thresholding algorithm for linear inverse problems
A. Beck and M. Teboulle · 2009
Cited alongside, same era.
B. Bollobás and O. Riordan · 2009
Cited alongside, same era.
Spectral clustering based on the graph p p -Laplacian
T. Bühler and M. Hein · 2009
Cited alongside, same era.
Exemplar-based interpolation of sparsely sampled images
G. Facciolo, P. Arias, V. Caselles, and G. Sapiro · 2009
Cited alongside, same era.
Later among the works it cites.
Nonlocal regularization of inverse problems: A unified variational framework
Z. Yang and M. Jacob · 2013
Later among the works it cites.
The nonlinear heat equation on dense graphs
G. S. Medvedev · 2014
Later among the works it cites.
On the convergence of the iterates of the “fast iterative shrinkage/thresholding algorithm”
A. Chambolle and C. Dossal · 2015
Later among the works it cites.
On the p p -Laplacian and ∞ \infty -Laplacian on graphs with applications in image and data processing
A. Elmoataz, M. Toutain, and D. Tenbrinck · 2015
Later among the works it cites.
Low complexity regularization of linear inverse problems
S. Vaiter, G. Peyré, and M. J. Fadili · 2015
Later among the works it cites.
The rate of convergence of Nesterov’s accelerated Forward–Backward method is actually o ( k − 2 ) o(k^{-2})
H. Attouch and J. Peypouquet · 2016
Later among the works it cites.
Asymptotic behavior of ℓ p \ell_{p} -based laplacian regularization in semi-supervised learning
A. El Alaoui, X. Cheng, A. Ramdas, M. J. Wainwright, and M. I. Jordan · 2016
Later among the works it cites.
Continuum limit of total variation on point clouds
N. García Trillos and D. Slepčev · 2016
Later among the works it cites.
Consistency of lipschitz learning with infinite unlabeled data and finite labeled data
J. Calder · 2017
Later among the works it cites.
Spectral convergence of the connection laplacian from random samples
A. Singer and H.-T. Wu · 2017
Later among the works it cites.
Analysis of p p -laplacian regularization in semi-supervised learning
D. Slepčev and M. Thorpe · 2017
Later among the works it cites.
Continuum limit of the nonlocal p p -laplacian evolution problem on random inhomogeneous graphs
Y. Hafiene, J. Fadili, C. Chesneau, and A. Elmoataz · 2018
Closest in time.
Nonlocal p p -laplacian evolution problems on graphs
Y. Hafiene, J. Fadili, and A. Elmoataz · 2018
Closest in time.