Recent Reports

indicates Acrobat file. Free reader here.    indicates compressed PostScript file. 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000 | 1999 | 1998 | 1997 | 1996 | 1995 | 1994 | 1993 | 1992 | Golden Oldies 2008 Fifteen Years of Reproducible Research in Computational Harmonic Analysis with Arian Maleki, Morteza Shahram, Victoria Stodden, and Inam Ur-Rahman. Counting Faces of Randomly Projected Hypercubes and Orthants, with Applications with Jared Tanner. Exponential Bounds Implying Construction of Compressed Sensing Matrices, Error-Correcting Codes and Neighborly Polytopes by Random Sampling with Jared Tanner. Higher Criticism Thresholding: Optimal Feature Selection when Useful Features are Rare and Weak with Jiashun Jin. 2007 Compressed Sensing MRI with Michael Lustig and John Pauly. Counting Faces of Randomly Projected Polytopes when the Projection Radically Lowers Dimension with Jared Tanner. 2006 Fast Solution of L1 minimization problems when the solution may be sparse with Yaacov Tsaig. Sparse Solution of Underdetermined Linear Equations by Stagewise Orthogonal Matching Pursuit with Yaakov Tsaig, Iddo Drori, and Jean-Luc Starck. 2005 Sparse Nonnegative Solutions of Underdetermined Linear Equations by Linear Programming with Jared Tanner. Neighborliness of Randomly-Projected Simplices in High Dimensions with Jared Tanner. Multiscale Representations of Manifold-Valued Data with Inam Ur-Raman, Iddo Drori, Victoria Stodden, and Peter Schroeder. Neighborly Polytopes and Sparse Solutions of Underdetermined Linear Equations High-Dimensional Centrosymmetric Polytopes with Neighborliness Proportional to Dimension 2004 Extensions of Compressed Sensing with Yaakov Tsaig. Compressed Sensing For Most Large Underdetermined Systems of Linear Equations, the minimal l1-norm near-solution approximates the sparsest near-solution. For Most Large Underdetermined Systems of Linear Equations, the minimal l1-norm solution is also the sparsest solution. Asymptotic Minimaxity of FDR Thresholding for Sparse Mixtures of Exponentials with Jia-Shun Jin. Stable Recovery of Sparse Overcomplete Representations in the Presence of Noise with Michael Elad and Vladimir Temlyakov. Connect-The-Dots: How many random points can a regular curve pass through? with Ery Arias-Castro, Xiaoming Huo, and Craig Tovey. 2003 Continuous Curvelet Transform I: Resolution of the Wavefront Set with Emmanuel Candès. Continuous Curvelet Transform II: Discretization and Frames with Emmanuel Candès. Near-Optimal Detection of Geometric Objects by Fast Multiscale Methods with Ery Arias-Castro and Xiaoming Huo. Adaptive Multiscale Detection of Filamentary Structures Embedded in Uniform Random Points with Ery Arias-Castro and Xiaoming Huo. An Information-Theoretic Approach to Traffic Matrix Estimation with with Carsten Lund, Matthew Roughan and Yin Zhang. When does Non-Negative Matrix Factorization Give a Correct Decomposition into Parts? with Victoria Stodden Hessian Eigenmaps: New Locally-Linear Embedding Techniques for High-Dimensional Data with Carrie Grimes 2002 New Tight Frames of Curvelets and Optimal Representations of Objects with C2 Singularities with Emmanuel Candès Optimally-Sparse Representation in General (non-Orthogonal) Dictionaries via l1 Minimization with Michael Elad. Multiscale Stepping-Stone Detection: Detecting Pairs of Jittered Interactive Streams by Exploiting Maximum Tolerable Delay with Ana Georgina Flesia, Umesh Shankar Vern Paxson, Jason Coit, and Stuart Staniford. When Does ISOMAP Recover the Natural Parameterization of Families of Articulated Images? (AKA: Image Manifolds which are Isometric to Euclidean Space) with Carrie Grimes Multiscale Geometric Analysis of 3-D Galaxy Catalogues with Ofer Levi, Jean-Luc Starck, Vincent J. Martinez Higher Criticism for Detecting Sparse Mixtures with Jiashun Jin. Digital Implementation of Ridgelet Packets with Ana Georgina Flesia, Hagit Hel-Or, Amir Averbuch, Raphy Coifman, and Emmanuel Candès Fast X-Ray and Beamlet Transforms for Three-D Data with Ofer Levi The Kolmogorov Sampler 2001 Digital Ridgelet Transform based on true ridge functions with Ana Georgina Flesia Beamlets and Multiscale Image Processing with Xiaoming Huo Can Recent Developments in Harmonic Analysis `Explain' the Recent Findings in Natural Scene Statistics? with Ana Georgina Flesia Fast Slant Stack: A notion of Radon Transform for data on a Cartesian grid which is Rapidly Computable,Algebraically Exact, Geometrically Faithful, and Invertible with A. Averbuch, R. Coifman, M. Israeli, and J. Walden 2000 Counting Bits with Kolmogorov and Shannon Adapting to Unknown Sparsity by Controlling the False Discovery Rate with Felix Abramovich, Yoav Benjamini, and Iain Johnstone Curvelets and Curvilinear Integrals with Emmanuel Candès Recovering Edges in in Ill-Posed Linear Inverse Problems: Optimality of Curvelet Frames with Emmanuel Candès 1999 Ridgelets: a key to higher-dimensional intermittency? with Emmanuel Candès Uncertainty Principles and Ideal Atomic Decomposition with Xiaoming Huo Curvelets: A surprisingly effective nonadaptive representation of objects with edges with Emmanuel Candès Digital Curvelet Transform: Strategy, Implementation, Experiments with Mark R. Duncan 1998 Ridge Functions and Orthonormal Ridgelets k-plane Ridgelets and the Problem of Representing objects which are smooth away from d-dimensional singularities in R^n Sparse Components of Images and Optimal Atomic Decomposition Data Compression and Harmonic Analysis. with Martin Vetterli, Ron DeVore, and Ingrid Daubechies. Orthonormal Ridgelets and Linear Singularities. Smooth Multiwavelet Duals of Alpert Bases by Moment-Interpolating Refinement with Nira Dyn, David Levin, and Thomas Pok-Yin Yu Estimating Covariances of Locally Stationary Processes: Convergence of Best-Basis Methods. with Stéphane Mallat,and Rainer von Sachs. 1997 Asymptotic Minimaxity of Wavelet Shrinkage for Sampled Data. with Iain Johnstone. Fast Ridgelet Transform in Dimension 2. (Not Currently Available) Wedgelets: Nearly Minimax Estimation of Edges. Nonlinear `Wavelet Transform' via Median-Interpolation. with Thomas Pok-Yin Yu. 1996 Renormalizing Experiments for Nonlinear Functionals. Deslauriers-Dubuc: Ten Years After. with Thomas Pok-Yin Yu. Unconditional Bases and Bit-Level Compression. Wavelet Analysis with Andrew Bruce and Hong-Ye Gao 1995 "CART and Best-Ortho-Basis: a connection." "Atomic Decomposition by Basis Pursuit." with Scott Shaobing Chen and Michael Saunders. "WaveLab and Reproducible Research." with Jonathan Buckheit. "Translation-Invariant De-Noising." with Ronald R. Coifman. 1994 "Basis Pursuit." with Scott Shaobing Chen "Ideal Denoising in an Orthonormal Basis Chosen from a Library of Bases." with Iain Johnstone. "On Minimum Entropy Segmentation" "Neo-Classical Minimax Problems, Thresholding and Adaptation." with Iain Johnstone. Improved Linear Discrimination with a Time-Frequency Dictionary with Jonathan Buckheit. 1993 "Smooth Wavelet Decompositions with Blocky Coefficient Kernels." "Wavelet Shrinkage and W.V.D. -- A Ten-Minute Tour." with figures. "Adapting to Unknown Smoothness via Wavelet Shrinkage." with Iain Johnstone. "Density Estimation by Wavelet Thresholding." with Iain Johnstone, Gérard Kerkyacharian, and Dominique Picard. "Wavelet Shrinkage: Asymptopia." with Iain Johnstone, Gérard Kerkyacharian, and Dominique Picard. "Nonlinear Wavelet Methods for Recovering Signals, Images, and Densities from indirect and noisy data." with archive of figures . 1992 "De-Noising via Soft Thresholding." "Interpolating Wavelet Transforms." "Nonlinear Solution of Linear Inverse Problems by Wavelet-Vaguelette Decomposition" "Unconditional Bases are Optimal Bases for Data Compression and for Statistical Estimation" "Ideal Spatial Adaptation via Wavelet Shrinkage." With figures. with Iain Johnstone. "Minimax Estimation via Wavelet Shrinkage." with Iain Johnstone. "Minimax Risk Over $l_p$-Balls for $l_q$-Error." with Iain Johnstone. 2003 | 2002 | 2001 | 2000 | 1999 | 1998 | 1997 | 1996 | 1995 | 1994 | 1993 | 1992 | Golden Oldies

© Dave Donoho 2002