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Applied and Computational Harmonic Analysis, ISSN 1063-5203, 01/2013, Volume 34, Issue 1, pp. 57 - 82
In this paper modified variants of the sparse Fourier transform algorithms from Iwen (2010) are presented which improve on the approximation error bounds of... 
Fourier analysis | Approximation algorithms | Signal recovery | Fast Fourier transforms | MATHEMATICS, APPLIED | Analysis | Algorithms | Fourier transforms | Approximation | Mathematical analysis | Harmonic analysis | Mathematical models | Fourier series
Journal Article
Foundations of Computational Mathematics, ISSN 1615-3375, 6/2010, Volume 10, Issue 3, pp. 303 - 338
Journal Article
Applied and Computational Harmonic Analysis, ISSN 1063-5203, 09/2019, Volume 47, Issue 2, pp. 526 - 538
In this short note, we consider the worst case noise robustness of any phase retrieval algorithm which aims to reconstruct all nonvanishing vectors x is an... 
GUARANTEES | MATHEMATICS, APPLIED | RECONSTRUCTION | Measurement | Integrated circuits | Algorithms | Semiconductor chips
Journal Article
Journal of Complexity, ISSN 0885-064X, 02/2014, Volume 30, Issue 1, pp. 1 - 15
A compressed sensing method consists of a rectangular measurement matrix, with , together with an associated recovery algorithm, . Compressed sensing methods... 
Sparse matrices | Sublinear-time algorithms | Compressed sensing | RECOVERY | MATHEMATICS, APPLIED | COMPUTER SCIENCE, THEORY & METHODS | ALGORITHMS | Algorithms
Journal Article
by Kraft, Colleen S and Hewlett, Angela L and Koepsell, Scott and Winkler, Anne M and Kratochvil, Christopher J and Larson, Luann and Varkey, Jay B and Mehta, Aneesh K and Lyon, G. Marshall and Friedman-Moraco, Rachel J and Marconi, Vincent C and Hill, Charles E and Sullivan, James N and Johnson, Daniel W and Lisco, Steven J and Mulligan, Mark J and Uyeki, Timothy M and McElroy, Anita K and Sealy, Tara and Campbell, Shelley and Spiropoulou, Christina and Ströher, Ute and Crozier, Ian and Sacra, Richard and Connor, Michael J and Sueblinvong, Viranuj and Franch, Harold A and Smith, Philip W and Ribner, Bruce S and Schwedhelm, Shelly and Boulter, Kate and Beam, Elizabeth and Gibbs, Shawn and Lowe, John and Piquette, Craig and Bailey, Kristina and Auxier, Joseph and Boer, Brian and Hanson, Travis and Kaseman, Julia and Khan, M. Salman and Rhee, Ji Hyun and Wells, Adam and Florescu, Diana and Kalil, Andre and Rupp, Mark and Becker, Valerie and Boeckman, Bridget and Elder, Erica and Fitch, Abby and Flood, Elizabeth and Freml, Meagan and Frigge, Roman and Hanzlik, Kelly Ann and Jensen, Lois and Kraus, Nicole and Molacek, Drew and Nevins, Jerry and Parker, Alicia and Peters, Jeff and Rand, Cheryl and Roesler, Karen and Ryalls, Kendall and Shradar, Morgan and Strain, Amanda and Sunderman, Timothy and Sundermeier, Jennifer and Swanhorst, John and Vasa, Angela and Bellinghausen, Jean and Freihaut, Frank and Denny, Susan and Mainelli, Lauren and Pinkney, Dee and Ray, Deborah and Jevne, Jay and Knight, Kalen and McCroy, Derrick and Nadeau, Ralph and Nightser, Anna and Iwen, Pete and Sambol, Tony and Herrera, Vicki and Morgan, David and Trotter, Sarah and Kerby, Amy and Peters, Sue and Southern, Timothy and Murphy, Caitlin and Morris, Rosanna and Nuss, Sue and Franco, Theresa and Ogden, Connie and Lazure, Julie and Straub, Dawn and Hinrichs, Steve and Plumb, Troy and Florescu, Marius and Becker, John and Souchek, Jenna and ... and Emory Serious Communicable Dis Uni and Nebraska Biocontainment Unit and Nebraska Biocontainment Unit and the Emory Serious Communicable Diseases Unit
Clinical Infectious Diseases, ISSN 1058-4838, 08/2015, Volume 61, Issue 4, pp. 496 - 502
Journal Article
SIAM Journal on Matrix Analysis and Applications, ISSN 0895-4798, 2016, Volume 37, Issue 4, pp. 1699 - 1718
In this paper it is shown that the SVD of a matrix can be constructed efficiently in a hierarchical approach. The proposed algorithm is proven to recover the... 
Low-rank approximations | Incremental SVD | Distributed computing | Singular value decomposition | MATHEMATICS, APPLIED | SINGULAR-VALUE DECOMPOSITION | low-rank approximations | incremental SVD | UPDATING ALGORITHM | singular value decomposition | distributed computing | COMMUNICATION | PARALLEL
Journal Article
Applied and Computational Harmonic Analysis, ISSN 1063-5203, 01/2020, Volume 48, Issue 1, pp. 415 - 444
We improve a phase retrieval approach that uses correlation-based measurements with compactly supported measurement masks . Our approach admits deterministic... 
Angular synchronization | Signal recovery | Phase retrieval | Ptychography | PROJECTION | MATHEMATICS, APPLIED | CONVERGENCE PROPERTY | GUARANTEES | RECONSTRUCTION | ALGORITHM | Measurement | Algorithms
Journal Article
Constructive Approximation, ISSN 0176-4276, 10/2015, Volume 42, Issue 2, pp. 281 - 301
In this note, we develop fast and deterministic dimensionality reduction techniques for a family of subspace approximation problems. We then utilize these... 
Dimensionality reduction | Greedy algorithms | Subspace approximation | Least-squares | n$$ n -Widths | Mathematics | 90C59 | 52C35 | 68U05 | 41A99 | Numerical Analysis | Analysis | Approximation algorithms | 65D18 | n-Widths | ALGORITHM | POLYTOPES | VOLUME ENCLOSING ELLIPSOIDS | POINT SETS | MATHEMATICS | RADII | COMPLEXITY | COMPUTATION | Algorithms
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 05/2012, Volume 60, Issue 5, pp. 2344 - 2353
This paper studies the problem of recovering a signal with a sparse representation in a given orthonormal basis using as few noisy observations as possible.... 
compressed sensing | radar clutter | Noise | Adaptive signal detection | Pollution measurement | Noise measurement | Mathematical model | Reliability | Clutter | Equations | INFORMATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Signal processing | Random noise theory | Usage | Innovations | Gaussian processes | Radar | Strategy | Gaussian | Representations | Background noise | Localization | Contamination
Journal Article
Advances in Computational Mathematics, ISSN 1019-7168, 4/2019, Volume 45, Issue 2, pp. 519 - 561
Journal Article
Numerical Algorithms, ISSN 1017-1398, 6/2013, Volume 63, Issue 2, pp. 239 - 263
Journal Article
Journal of Fourier Analysis and Applications, ISSN 1069-5869, 6/2019, Volume 25, Issue 3, pp. 751 - 784
Journal Article
SIAM Journal on Matrix Analysis and Applications, ISSN 0895-4798, 2012, Volume 33, Issue 1, pp. 263 - 289
Journal Article