Randomized numerical linear algebra: Foundations and algorithms

PG Martinsson, JA Tropp - Acta Numerica, 2020 - cambridge.org
This survey describes probabilistic algorithms for linear algebraic computations, such as
factorizing matrices and solving linear systems. It focuses on techniques that have a proven …

Practical sketching algorithms for low-rank matrix approximation

JA Tropp, A Yurtsever, M Udell, V Cevher - SIAM Journal on Matrix Analysis …, 2017 - SIAM
This paper describes a suite of algorithms for constructing low-rank approximations of an
input matrix from a random linear image, or sketch, of the matrix. These methods can …

A framework for adversarially robust streaming algorithms

O Ben-Eliezer, R Jayaram, DP Woodruff… - ACM Journal of the ACM …, 2022 - dl.acm.org
We investigate the adversarial robustness of streaming algorithms. In this context, an
algorithm is considered robust if its performance guarantees hold even if the stream is …

Recent advances in multi-pass graph streaming lower bounds

S Assadi - ACM SIGACT News, 2023 - dl.acm.org
Recent Advances in Multi-Pass Graph Streaming Lower Bounds Page 1 Recent Advances in
Multi-Pass Graph Streaming Lower Bounds Sepehr Assadi Cheriton School of Computer …

Streaming low-rank matrix approximation with an application to scientific simulation

JA Tropp, A Yurtsever, M Udell, V Cevher - SIAM Journal on Scientific …, 2019 - SIAM
This paper argues that randomized linear sketching is a natural tool for on-the-fly
compression of data matrices that arise from large-scale scientific simulations and data …

Maximum matchings in dynamic graph streams and the simultaneous communication model

S Assadi, S Khanna, Y Li, G Yaroslavtsev - … of the twenty-seventh annual ACM …, 2016 - SIAM
We study the problem of finding an approximate maximum matching in two closely related
computational models, namely, the dynamic graph streaming model and the simultaneous …

On estimating maximum matching size in graph streams

S Assadi, S Khanna, Y Li - Proceedings of the Twenty-Eighth Annual ACM …, 2017 - SIAM
We study the problem of estimating the maximum matching size in graphs whose edges are
revealed in a streaming manner. We consider both insertion-only streams, which only …

[HTML][HTML] Coresets-methods and history: A theoreticians design pattern for approximation and streaming algorithms

A Munteanu, C Schwiegelshohn - KI-Künstliche Intelligenz, 2018 - Springer
We present a technical survey on the state of the art approaches in data reduction and the
coreset framework. These include geometric decompositions, gradient methods, random …

Fixed-rank approximation of a positive-semidefinite matrix from streaming data

JA Tropp, A Yurtsever, M Udell… - Advances in Neural …, 2017 - proceedings.neurips.cc
Several important applications, such as streaming PCA and semidefinite programming,
involve a large-scale positive-semidefinite (psd) matrix that is presented as a sequence of …

Oblivious sketching for logistic regression

A Munteanu, S Omlor… - … Conference on Machine …, 2021 - proceedings.mlr.press
What guarantees are possible for solving logistic regression in one pass over a data
stream? To answer this question, we present the first data oblivious sketch for logistic …