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 …

An improved cutting plane method for convex optimization, convex-concave games, and its applications

H Jiang, YT Lee, Z Song, SC Wong - … of the 52nd Annual ACM SIGACT …, 2020 - dl.acm.org
Given a separation oracle for a convex set K⊂ ℝ n that is contained in a box of radius R, the
goal is to either compute a point in K or prove that K does not contain a ball of radius є. We …

Oblivious sketching of high-degree polynomial kernels

TD Ahle, M Kapralov, JBT Knudsen, R Pagh… - Proceedings of the …, 2020 - SIAM
Kernel methods are fundamental tools in machine learning that allow detection of non-linear
dependencies between data without explicitly constructing feature vectors in high …

mmecho: A mmwave-based acoustic eavesdrop** method

P Hu, W Li, R Spolaor, X Cheng - Proceedings of the ACM Turing Award …, 2023 - dl.acm.org
Acoustic eavesdrop** on private or confidential spaces poses a significant privacy threat.
While soundproof rooms can mitigate these risks to some extent, they are unable to counter …

Agnostic active learning of single index models with linear sample complexity

A Gajjar, WM Tai, X **ngyu, C Hegde… - The Thirty Seventh …, 2024 - proceedings.mlr.press
We study active learning methods for single index models of the form $ F ({\bm x})= f (⟨{\bm
w},{\bm x}⟩) $, where $ f:\mathbb {R}\to\mathbb {R} $ and ${\bx,\bm w}\in\mathbb {R}^ d $. In …

CS4ML: A general framework for active learning with arbitrary data based on Christoffel functions

JM Cardenas, B Adcock… - Advances in Neural …, 2023 - proceedings.neurips.cc
We introduce a general framework for active learning in regression problems. Our
framework extends the standard setup by allowing for general types of data, rather than …

Active Linear Regression for ℓp Norms and Beyond

C Musco, C Musco, DP Woodruff… - 2022 IEEE 63rd Annual …, 2022 - ieeexplore.ieee.org
We study active sampling algorithms for linear regression, which aim to query only a small
number of entries of a target vector and output a near minimizer to the objective function. For …

Generalized leverage score sampling for neural networks

JD Lee, R Shen, Z Song… - Advances in Neural …, 2020 - proceedings.neurips.cc
Leverage score sampling is a powerful technique that originates from theoretical computer
science, which can be used to speed up a large number of fundamental questions, eg linear …

An improved sample complexity for rank-1 matrix sensing

Y Deng, Z Li, Z Song - arxiv preprint arxiv:2303.06895, 2023 - arxiv.org
Matrix sensing is a problem in signal processing and machine learning that involves
recovering a low-rank matrix from a set of linear measurements. The goal is to reconstruct …