World's Best Scientists 2026 revealed!

D-Index & Metrics

Computer Science

D-Index
67
Citations
47418
World Ranking
2131
National Ranking
1073

Mathematics

D-Index
69
Citations
47982
World Ranking
284
National Ranking
156

Research.com Recognitions

  • 2020 - IEEE Fellow For contributions to sparse signal processing
  • 2019 - SIAM Fellow For contributions to signal processing, data analysis, and randomized linear algebra.
  • 2010 - Fellow of Alfred P. Sloan Foundation

Overview

Joel A. Tropp is affiliated with the California Institute of Technology in the United States. Their research primarily spans the fields of Computer Science, Mathematics, and Engineering, with a strong focus on areas including Artificial Intelligence, Computational Mechanics, Computational Theory and Mathematics, Statistics and Probability, and Applied Mathematics.

The topics frequently addressed in their work include Sparse and Compressive Sensing Techniques, Stochastic Gradient Optimization Techniques, Matrix Theory and Algorithms, Random Matrices and Applications, Point Processes and Geometric Inequalities, Quantum Computing Algorithms and Architecture, and Markov Chains and Monte Carlo Methods.

Joel A. Tropp has contributed to numerous research publications across notable venues. The most common publication outlets include:

  • arXiv (Cornell University)
  • SIAM Journal on Matrix Analysis and Applications
  • SIAM Journal on Mathematics of Data Science
  • Acta Numerica
  • The Caltech Institute Archives (California Institute of Technology)

Some of their recent papers are:

  • Randomized numerical linear algebra: Foundations and algorithms (2020) published in Acta Numerica
  • Fast state tomography with optimal error bounds (2020) published in The Caltech Institute Archives (California Institute of Technology)
  • Low-Rank Tucker Approximation of a Tensor from Streaming Data (2020) published in SIAM Journal on Mathematics of Data Science
  • Fast and Accurate Randomized Algorithms for Linear Systems and Eigenvalue Problems (2024) published in SIAM Journal on Matrix Analysis and Applications
  • Randomized Nyström Preconditioning (2023) published in SIAM Journal on Matrix Analysis and Applications

Joel A. Tropp has collaborated frequently with several researchers throughout their career. Notable coauthors include:

  • Ethan N. Epperly
  • Robert J. Webber
  • De Huang
  • Madeleine Udell
  • Richard Kueng

Their professional recognition includes being named an IEEE Fellow in 2020 for contributions to sparse signal processing, a SIAM Fellow in 2019 for contributions to signal processing, data analysis, and randomized linear algebra, and receiving a fellowship from the Alfred P. Sloan Foundation in 2010.

Best Publications

  • Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit

    J.A. Tropp;A.C. Gilbert

  • CoSaMP: iterative signal recovery from incomplete and inaccurate samples

    Deanna Needell;Joel A. Tropp

  • Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions

    N. Halko;P. G. Martinsson;J. A. Tropp

  • Greed is good: algorithmic results for sparse approximation

    J.A. Tropp

  • User-Friendly Tail Bounds for Sums of Random Matrices

    Joel A. Tropp

  • Algorithms for simultaneous sparse approximation: part I: Greedy pursuit

    Joel A. Tropp;Anna C. Gilbert;Martin J. Strauss

  • Just relax: convex programming methods for identifying sparse signals in noise

    J.A. Tropp

  • Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals

    J.A. Tropp;J.N. Laska;M.F. Duarte;J.K. Romberg

  • Computational Methods for Sparse Solution of Linear Inverse Problems

    Joel A Tropp;Stephen J Wright

  • An Introduction to Matrix Concentration Inequalities

    Joel A. Tropp

  • Algorithms for simultaneous sparse approximation: part II: Convex relaxation

    Joel A. Tropp

  • Designing structured tight frames via an alternating projection method

    J.A. Tropp;I.S. Dhillon;R.W. Heath;T. Strohmer

  • Living on the edge: phase transitions in convex programs with random data

    Dennis Amelunxen;Martin Lotz;Michael B. McCoy;Joel A. Tropp

  • Random Filters for Compressive Sampling and Reconstruction

    J.A. Tropp;M.B. Wakin;M.F. Duarte;D. Baron

  • Simultaneous sparse approximation via greedy pursuit

    J.A. Tropp;A.C. Gilbert;M.J. Strauss

  • One sketch for all: fast algorithms for compressed sensing

    A. C. Gilbert;M. J. Strauss;J. A. Tropp;R. Vershynin

  • IMPROVED ANALYSIS OF THE SUBSAMPLED RANDOMIZED HADAMARD TRANSFORM

    Joel A. Tropp

  • ALGORITHMS FOR SIMULTANEOUS SPARSE APPROXIMATION

    J A Tropp

  • Paved with good intentions: Analysis of a randomized block Kaczmarz method

    Deanna Needell;Joel A. Tropp

  • On the existence of equiangular tight frames

    Mátyás A. Sustik;Joel A. Tropp;Inderjit S. Dhillon;Robert W. Heath

  • Signal Recovery from Random Measurements Via Orthogonal Matching Pursuit: The Gaussian Case

    Joel A. Tropp;Anna C. Gilbert

  • Computational Methods for Sparse Solution of Linear Inverse Problems In many engineering areas, such as signal processing, practical results can be obtained by identifying approaches that yield the greatest quality improvement, or by selecting the most suitable computation methods.

    Joel A. Tropp;Stephen J. Wright

Frequent Co-Authors

Inderjit S. Dhillon
Inderjit S. Dhillon Google (United States)
Anna C. Gilbert
Anna C. Gilbert Yale University
Volkan Cevher
Volkan Cevher École Polytechnique Fédérale de Lausanne
Robert W. Heath
Robert W. Heath University of California, San Diego
Martin J. Strauss
Martin J. Strauss University of Michigan–Ann Arbor
Thomas Strohmer
Thomas Strohmer University of California, Davis
Deanna Needell
Deanna Needell University of California, Los Angeles
Roman Vershynin
Roman Vershynin University of California, Irvine
Richard G. Baraniuk
Richard G. Baraniuk Rice University

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