Articles by Joel A. Tropp

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Joel A. Tropp

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A new approach to strong convergence

11 February 2025 by Chi-Fang Chen and others

Probability, Group Theory

Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix

27 January 2025 by Joel Tropp

Probability, Numerical Analysis

Embrace rejection: Kernel matrix approximation by accelerated randomly pivoted Cholesky

9 December 2024 by Ethan Epperly and others

Numerical Analysis, Computation

Randomly pivoted Cholesky: Practical approximation of a kernel matrix with few entry evaluations

22 October 2024 by Yifan Chen and others

Numerical Analysis, Machine Learning

Efficient error and variance estimation for randomized matrix computations

1 October 2024 by Ethan Epperly and Joel Tropp

Numerical Analysis, Machine Learning

Robust, randomized preconditioning for kernel ridge regression

10 July 2024 by Mateo Díaz and others

Numerical Analysis, Machine Learning

Randomized matrix computations: Themes and variations

8 April 2024 by Anastasia Kireeva and Joel Tropp

Numerical Analysis, Probability

XTrace: Making the most of every sample in stochastic trace estimation

5 January 2024 by Ethan Epperly and others

Numerical Analysis

Randomized algorithms for low-rank matrix approximation: Design, analysis, and applications

22 September 2023 by Joel Tropp and Robert Webber

Numerical Analysis

Sparse random Hamiltonians are quantumly easy

7 February 2023 by Chi-Fang and others

Quantum Physics, Probability

Sharp phase transitions in Euclidean integral geometry

29 August 2022 by Martin Lotz and Joel Tropp

Metric Geometry

Fast & Accurate Randomized Algorithms for Linear Systems and Eigenvalue Problems

16 February 2022 by Yuji Nakatsukasa and Joel Tropp

Numerical Analysis

Randomized Nyström Preconditioning

17 December 2021 by Zachary Frangella and others

Numerical Analysis

Randomized block Krylov methods for approximating extreme eigenvalues

1 October 2021 by Joel Tropp

Numerical Analysis

Learning to Forecast Dynamical Systems from Streaming Data

21 September 2021 by Dimitris Giannakis and others

Dynamical Systems, Machine Learning

Tensor Random Projection for Low Memory Dimension Reduction

30 April 2021 by Yiming Sun and others

Numerical Analysis, Machine Learning

Scalable Semidefinite Programming

25 March 2021 by Alp Yurtsever and others

Optimization and Control, Combinatorics

From Poincaré Inequalities to Nonlinear Matrix Concentration

6 January 2021 by De Huang and Joel Tropp

Probability

Nonlinear Matrix Concentration via Semigroup Methods

6 January 2021 by De Huang and Joel Tropp

Probability

Inference of Black Hole Fluid-Dynamics From Sparse Interferometric Measurements

31 December 2020 by Aviad Levis and others

Computer Vision and Pattern Recognition, Artificial Intelligence

Quantum simulation via randomized product formulas: Low gate complexity with accuracy guarantees

1 September 2020 by Chi-Fang Chen and others

Quantum Physics, Probability

An Optimal-Storage Approach to Semidefinite Programming using Approximate Complementarity

17 June 2020 by Lijun Ding and others

Optimization and Control, Machine Learning

Matrix Concentration for Products

11 March 2020 by De Huang and others

Probability

Binary Component Decomposition Part I: The Positive-Semidefinite Case

31 July 2019 by Richard Kueng and Joel Tropp

Data Structures and Algorithms, Metric Geometry

Binary component decomposition Part II: The asymmetric case

31 July 2019 by Richard Kueng and Joel Tropp

Data Structures and Algorithms, Metric Geometry

Streaming Low-Rank Matrix Approximation with an Application to Scientific Simulation

22 February 2019 by Joel Tropp and others

Numerical Analysis

Concentration of the Intrinsic Volumes of a Convex Body

21 January 2019 by Martin Lotz and others

Metric Geometry, Information Theory

Fast state tomography with optimal error bounds

28 September 2018 by Madalin Guţǎ and others

Quantum Physics, Information Theory

Practical sketching algorithms for low-rank matrix approximation

2 January 2018 by Joel Tropp and others

Numerical Analysis, Data Structures and Algorithms

Simplicial faces of the set of correlation matrices

2 January 2018 by Joel Tropp

Metric Geometry, Combinatorics

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Topics

Information Theory Numerical Analysis Probability Statistics Theory Machine Learning Metric Geometry Optimization and Control Data Structures and Algorithms Functional Analysis Quantum Physics Combinatorics Computation Fluid Dynamics Group Theory Operator Algebras