@techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/116782, title ="Fast & accurate randomized algorithms for linear systems and eigenvalue problems", author = "Nakatasukasa, Yuji and Tropp, Joel A.", number = "2021-01", month = "October", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220909-161413582", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109513, title ="Tensor Random Projection for Low Memory Dimension Reduction", author = "Sun, Yiming and Guo, Yang and Tropp, Joel A. and Udell, Madeleine", journal = "arXiv", month = "April", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210621-223135493", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/107213, title ="Quantum simulation via randomized product formulas: Low gate complexity with accuracy guarantees", author = "Chen, Chi-Fang and Huang, Hsin-Yuan (Robert) and Kueng, Richard and Tropp, Joel A.", journal = "arXiv", month = "August", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201218-154423869", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/116601, title ="Sharp phase transitions in Euclidian integral geometry", author = "Lotz, Martin and Tropp, Joel A.", number = "2020-01", month = "May", year = "2020", doi = "https://doi.org/10.7907/9rja-rh15", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220829-181401723", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/107221, title ="Scalable Semidefinite Programming", author = "Yurtsever, Alp and Tropp, Joel A. and Fercoq, Olivier and Udell, Madeleine and Cevher, Volkan", journal = "arXiv", month = "December", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201218-154437706", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/107223, title ="Binary Component Decomposition. Part I: The Positive-Semidefinite Case", author = "Kueng, Richard and Tropp, Joel A.", journal = "arXiv", month = "July", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201218-154441081", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/107224, title ="Binary component decomposition. Part II: The asymmetric case", author = "Kueng, Richard and Tropp, Joel A.", journal = "arXiv", month = "July", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201218-154444454", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/116589, title ="More practical sketching algorithms for low-rank matrix approximation", author = "Tropp, Joel A. and Yurtsever, Alp and Udell, Madeleine and Cevher, Volkan", number = "2018-01", month = "October", year = "2018", doi = "https://doi.org/10.7907/bb7w-ve61", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220826-183609942", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/109565, title ="Analysis of randomized block Krylov methods", author = "Tropp, Joel A.", number = "2018-02", month = "January", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210624-180721369", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/78360, title ="Fixed-Rank Approximation of a Positive-Semidefinite Matrix from Streaming Data", author = "Tropp, Joel A. and Yurtsever, Alp and Udell, Madeleine and Cevher, Volkan", number = "2017-03", month = "May", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170620-081901312", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/89263, title ="Sketchy Decisions: Convex Low-Rank Matrix Optimization with Optimal Storage", author = "Yurtsever, Alp and Udell, Madeleine and Tropp, Joel A. and Cevher, Volkan", month = "February", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180828-145534045", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/75094, title ="The Achievable Performance of Convex Demixing", author = "McCoy, Michael B. and Tropp, Joel A.", number = "2017-02", month = "February", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170314-110228775", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/74347, title ="Randomized Single-View Algorithms for Low-Rank Matrix Approximation", author = "Tropp, Joel A. and Yurtsever, Alp and Udell, Madeleine and Cevher, Volkan", number = "2017-01", month = "January", year = "2017", doi = "https://doi.org/10.7907/Z9HT2M9C", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170215-154809329", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/89338, title ="Universality laws for randomized dimension reduction, with applications", author = "Oymak, Samet and Tropp, Joel A.", journal = "arXiv", month = "November", year = "2015", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180831-112137332", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/89337, title ="Second-Order Matrix Concentration Inequalities", author = "Tropp, Joel A.", journal = "arXiv", month = "April", year = "2015", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180831-112133957", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/89344, title ="A foundation for analytical developments in the logarithmic region of turbulent channels", author = "Moarref, Rashad and Sharma, Ati S. and Tropp, Joel A. and McKeon, Beverley J.", journal = "arXiv", month = "September", year = "2014", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180831-112157832", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/49010, title ="Error Bounds for Random Matrix Approximation Schemes", author = "Gittens, A. and Tropp, J. A.", number = "2014-01", month = "August", year = "2014", doi = "https://doi.org/10.7907/03an-qj61", url = "https://resolver.caltech.edu/CaltechAUTHORS:20140828-082707636", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/49011, title ="Tail Bounds for All Eigenvalues of a Sum of Random Matrices", author = "Gittens, Alex A. and Tropp, Joel A.", number = "2014-02", month = "August", year = "2014", url = "https://resolver.caltech.edu/CaltechAUTHORS:20140828-084239607", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/89336, title ="The achievable performance of convex demixing", author = "McCoy, Michael B. and Tropp, Joel A.", journal = "arXiv", month = "September", year = "2013", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180831-112130540", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/89335, title ="Deriving Matrix Concentration Inequalities from Kernel Couplings", author = "Paulin, Daniel and Mackey, Lester and Tropp, Joel A.", journal = "arXiv", month = "May", year = "2013", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180831-112127106", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/30057, title ="The Masked Sample Covariance Estimator: An Analysis via the Matrix Laplace Transform", author = "Chen, Richard Y. and Gittens, Alex A. and Tropp, Joel A.", number = "2012-01", month = "February", year = "2012", doi = "https://doi.org/10.7907/6rfh-ce56", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120411-102106234", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/89334, title ="The Masked Sample Covariance Estimator: An Analysis via Matrix Concentration Inequalities", author = "Chen, Richard Y. and Gittens, Alex and Tropp, Joel A.", journal = "arXiv", month = "September", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180831-112123699", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/116590, title ="Large-Scales PCA with Sparsity Constraints", author = "Probel, Clément J. and Tropp, Joel A.", number = "2011-02", month = "August", year = "2011", doi = "https://doi.org/10.7907/51g8-zc61", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220826-185558571", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/27194, title ="User-friendly Tail Bounds for Matrix Martingales", author = "Tropp, Joel A.", number = "2011-01", month = "January", year = "2011", doi = "https://doi.org/10.7907/62v9-yh77", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-114710310", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/27190, title ="User-Friendly Tail Bounds for Sums of Random Matrices", author = "Tropp, Joel A.", number = "2010-01", month = "April", year = "2010", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-112125900", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/27187, title ="Finding Structure with Randomness: Stochastic Algorithms for Constructing Approximate matrix Decompositions", author = "Halko, N. and Martinsson, P. G. and Tropp, J. A.", number = "2009-05", month = "September", year = "2009", doi = "https://doi.org/10.7907/PK8V-V047", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-111324407", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/27171, title ="Computational Methods for Sparse Solution of Linear Inverse Problems", author = "Tropp, Joel A. and Wright, Stephen J.", number = "2009-01", month = "March", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111011-163243421", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/27169, title ="CoSaMP: Iterative Signal Recovery from Incomplete and Inaccurate Samples", author = "Needell, D. and Tropp, J. A.", number = "2008-01", month = "July", year = "2008", doi = "https://doi.org/10.7907/KE0N-TN13", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111011-160707642", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/27170, title ="Column Subset Selection, Matrix Factorization, and Eigenvalue Optimization", author = "Tropp, Joel A.", number = "2008-02", month = "June", year = "2008", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111011-161421093", } @techreport {CaltechACMTR_https://authors.library.caltech.edu/id/eprint/27144, title ="Signal Recovery from Random Measurements Via Orthogonal Matching Pursuit: The Gaussian Case", author = "Tropp, Joel A. and Gilbert, Anna C.", number = "2007-01", month = "August", year = "2007", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111010-134929077", } @article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/89264, title ="Algorithmic linear dimension reduction in the ℓ_1 norm for sparse vectors", author = "Gilbert, A. C. and Strauss, M. J. and Tropp, J. A. and Vershynin, R.", month = "August", year = "2006", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180828-150010838", }