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 …
factorizing matrices and solving linear systems. It focuses on techniques that have a proven …
Practical sketching algorithms for low-rank matrix approximation
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 …
input matrix from a random linear image, or sketch, of the matrix. These methods can …
A framework for adversarially robust streaming algorithms
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 …
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 …
Multi-Pass Graph Streaming Lower Bounds Sepehr Assadi Cheriton School of Computer …
Streaming low-rank matrix approximation with an application to scientific simulation
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 …
compression of data matrices that arise from large-scale scientific simulations and data …
Maximum matchings in dynamic graph streams and the simultaneous communication model
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 …
computational models, namely, the dynamic graph streaming model and the simultaneous …
On estimating maximum matching size in graph streams
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 …
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 …
coreset framework. These include geometric decompositions, gradient methods, random …
Fixed-rank approximation of a positive-semidefinite matrix from streaming data
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 …
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 …
stream? To answer this question, we present the first data oblivious sketch for logistic …