2025
Provably faster randomized and quantum algorithms for k-means clustering via uniform sampling.
CoRR, April, 2025

A posteriori error bounds for the block-Lanczos method for matrix function approximation.
Numer. Algorithms, February, 2025

Randomized block-Krylov subspace methods for low-rank approximation of matrix functions.
CoRR, February, 2025

Preconditioning without a preconditioner: faster ridge-regression and Gaussian sampling with randomized block Krylov subspace methods.
CoRR, January, 2025

Near-optimal hierarchical matrix approximation from matrix-vector products.
Proceedings of the 2025 Annual ACM-SIAM Symposium on Discrete Algorithms, 2025

2024
Faster Randomized Partial Trace Estimation.
SIAM J. Sci. Comput., 2024

GMRES, pseudospectra, and Crouzeix's conjecture for shifted and scaled Ginibre matrices.
Math. Comput., 2024

The Lanczos algorithm for matrix functions: a handbook for scientists.
CoRR, 2024

Near-optimal convergence of the full orthogonalization method.
CoRR, 2024

Fixed-sparsity matrix approximation from matrix-vector products.
CoRR, 2024

Large-scale Outdoor Cell-free mMIMO Channel Measurement in an Urban Scenario at 3.5 GHz.
Proceedings of the 100th IEEE Vehicular Technology Conference, 2024

Nearly Optimal Approximation of Matrix Functions by the Lanczos Method.
Proceedings of the Advances in Neural Information Processing Systems 38: Annual Conference on Neural Information Processing Systems 2024, 2024

2023
Krylov-Aware Stochastic Trace Estimation.
SIAM J. Matrix Anal. Appl., September, 2023

Low-Memory Krylov Subspace Methods for Optimal Rational Matrix Function Approximation.
SIAM J. Matrix Anal. Appl., June, 2023

A spectrum adaptive kernel polynomial method.
CoRR, 2023

Optimal Polynomial Approximation to Rational Matrix Functions Using the Arnoldi Algorithm.
CoRR, 2023

Near-Optimality Guarantees for Approximating Rational Matrix Functions by the Lanczos Method.
CoRR, 2023

Stability of the Lanczos algorithm on matrices with regular spectral distributions.
CoRR, 2023

2022
Error Bounds for Lanczos-Based Matrix Function Approximation.
SIAM J. Matrix Anal. Appl., 2022

On the fast convergence of minibatch heavy ball momentum.
CoRR, 2022

Numerical computation of the equilibrium-reduced density matrix for strongly coupled open quantum systems.
CoRR, 2022

Randomized matrix-free quadrature for spectrum and spectral sum approximation.
CoRR, 2022

2021
On the Convergence Rate of Variants of the Conjugate Gradient Algorithm in Finite Precision Arithmetic.
SIAM J. Sci. Comput., 2021

Analysis of stochastic Lanczos quadrature for spectrum approximation.
Proceedings of the 38th International Conference on Machine Learning, 2021

2020
Predict-and-Recompute Conjugate Gradient Variants.
SIAM J. Sci. Comput., 2020

Rounding random variables to finite precision.
CoRR, 2020

2019
Predict-and-recompute conjugate gradient variants.
CoRR, 2019