Construction of Tight Frames on Graphs and Application to Denoising

Franziska Göbel, Gilles Blanchard, Ulrike von Luxburg

Type: Book-Chapter

Publication Date: 2018-01-01

Citations: 24

DOI: https://doi.org/10.1007/978-3-319-18284-1_20

View Publication

Download PDF

Locations

Springer handbooks of computational statistics - View
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View

Similar Works

Action	Title	Year	Authors
+	Construction of Tight Frames on Graphs and Application to Denoising	2014	Franziska Göbel Gilles Blanchard Ulrike von Luxburg
+	Sparse representation on graphs by tight wavelet frames and applications	2015	Bin Dong
+	Localized Fourier Analysis for Graph Signal Processing	2019	Basile de Loynes Fabien Navarro Baptiste Olivier
+ PDF Chat	Localized Spectral Graph Filter Frames: A Unifying Framework, Survey of Design Considerations, and Numerical Comparison	2020	David I Shuman
+	Localized Spectral Graph Filter Frames: A Unifying Framework, Survey of Design Considerations, and Numerical Comparison	2020	David I Shuman
+	Tight framelets on graphs for multiscale data analysis	2019	Yu Guang Wang Xiaosheng Zhuang
+ PDF Chat	Estimation of q for $\ell _{q}$-minimization in signal recovery with tight frame	2023	Kaihao Liang Chaolong Zhang Wenfeng Zhang
+	Construction and Monte Carlo estimation of wavelet frames generated by a reproducing kernel	2020	Ernesto De Vito Željko Kereta Valeriya Naumova Lorenzo Rosasco Stefano Vigogna
+	Construction and Monte Carlo estimation of wavelet frames generated by a reproducing kernel	2020	Ernesto De Vito Željko Kereta Valeriya Naumova Lorenzo Rosasco Stefano Vigogna
+	Poisson noise removal of images on graphs using tight wavelet frames	2017	Cong Wang Jianbin Yang
+ PDF Chat	Signals on Graphs: Uncertainty Principle and Sampling	2016	Mikhail Tsitsvero Sergio Barbarossa Paolo Di Lorenzo
+	Introduction to Finite Frame Theory	2012	Peter G. Casazza Gitta Kutyniok Friedrich Philipp
+	Sparse Signal Processing with Frame Theory	2012	Dustin G. Mixon
+	Flavors of Compressive Sensing	2017	Simon Foucart
+	Sharp MSE Bounds for Proximal Denoising	2013	Samet Oymak Babak Hassibi
+	Spectrum-Adapted Tight Graph Wavelet and Vertex-Frequency Frames	2013	David I Shuman Christoph Wiesmeyr Nicki Holighaus Pierre Vandergheynst
+	Spectrum-Adapted Tight Graph Wavelet and Vertex-Frequency Frames	2013	David I Shuman Christoph Wiesmeyr Nicki Holighaus Pierre Vandergheynst
+ PDF Chat	Spectrum-Adapted Tight Graph Wavelet and Vertex-Frequency Frames	2015	David I Shuman Christoph Wiesmeyr Nicki Holighaus Pierre Vandergheynst
+	Sharp MSE Bounds for Proximal Denoising	2013	Samet Oymak Babak Hassibi
+	Highly sparse representations from dictionaries are unique and independent of the sparseness measure	2006	Rémi Gribonval Morten Nielsen

Works That Cite This (16)

Action	Title	Year	Authors
+ PDF Chat	Gabor-Type Frames for Signal Processing on Graphs	2021	Mahya Ghandehari Dominique Guillot Kris Hollingsworth
+ PDF Chat	Construction and Monte Carlo Estimation of Wavelet Frames Generated by a Reproducing Kernel	2021	Ernesto De Vito Željko Kereta Valeriya Naumova Lorenzo Rosasco Stefano Vigogna
+ PDF Chat	Monte Carlo wavelets: a randomized approach to frame discretization	2019	Željko Kereta Stefano Vigogna Valeriya Naumova Lorenzo Rosasco Ernesto De Vito
+ PDF Chat	Volume Doubling Condition and a Local Poincaré Inequality on Unweighted Random Geometric Graphs	2020	Franziska Göbel Gilles Blanchard
+	Topologically penalized regression on manifolds	2021	Olympio Hacquard Krishnakumar Balasubramanian Gilles Blanchard Clément Levrard Wolfgang Polonik
+	Gabor-type frames for signal processing on graphs	2020	Mahya Ghandehari Dominique Guillot Kris Hollingsworth
+	Monte Carlo wavelets: a randomized approach to frame discretization	2019	Željko Kereta Stefano Vigogna Valeriya Naumova Lorenzo Rosasco Ernesto De Vito
+ PDF Chat	Large Graph Signal Denoising With Application to Differential Privacy	2022	Elie Chedemail Basile de Loynes Fabien Navarro Baptiste Olivier
+	Data-driven thresholding in denoising with Spectral Graph Wavelet Transform	2020	Basile de Loynes Fabien Navarro Baptiste Olivier
+	Localized Fourier analysis for graph signal processing	2021	Basile de Loynes Fabien Navarro Baptiste Olivier

Works Cited by This (9)

Action	Title	Year	Authors
+ PDF Chat	Local polynomial regression on unknown manifolds	2007	Peter J. Bickel Bo Li
+	Modern statistical estimation via oracle inequalities	2006	Emmanuel J. Candès
+ PDF Chat	Heat Kernel Generated Frames in the Setting of Dirichlet Spaces	2012	Thierry Coulhon G. Kerkyacharian Pencho Petrushev
+	Wavelets on graphs via spectral graph theory	2010	David K. Hammond Pierre Vandergheynst Rémi Gribonval
+	Ideal spatial adaptation by wavelet shrinkage	1994	David L. Donoho Iain M. Johnstone
+	A tree-based regressor that adapts to intrinsic dimension	2012	Samory Kpotufe Sanjoy Dasgupta
+	k-NN Regression Adapts to Local Intrinsic Dimension	2011	Samory Kpotufe
+ PDF Chat	Preface	2007	Regina Liu William E. Strawderman Cun-Hui Zhang
+	Extreme value analysis of empirical frame coefficients and implications for denoising by soft-thresholding	2013	Markus Haltmeier Axel Munk