A review on design inspired subsampling for big data

J Yu, M Ai, Z Ye - Statistical Papers, 2024 - Springer
Subsampling focuses on selecting a subsample that can efficiently sketch the information of
the original data in terms of statistical inference. It provides a powerful tool in big data …

Asymptotic analysis of sampling estimators for randomized numerical linear algebra algorithms

P Ma, Y Chen, X Zhang, X **ng, J Ma… - Journal of Machine …, 2022 - jmlr.org
The statistical analysis of Randomized Numerical Linear Algebra (RandNLA) algorithms
within the past few years has mostly focused on their performance as point estimators …

Linear bandits with limited adaptivity and learning distributional optimal design

Y Ruan, J Yang, Y Zhou - Proceedings of the 53rd Annual ACM SIGACT …, 2021 - dl.acm.org
Motivated by practical needs such as large-scale learning, we study the impact of adaptivity
constraints to linear contextual bandits, a central problem in online learning and decision …

Sketched ridge regression: Optimization perspective, statistical perspective, and model averaging

S Wang, A Gittens, MW Mahoney - Journal of Machine Learning Research, 2018 - jmlr.org
We address the statistical and optimization impacts of the classical sketch and Hessian
sketch used to approximately solve the Matrix Ridge Regression (MRR) problem. Prior …

Orthogonal subsampling for big data linear regression

L Wang, J Elmstedt, WK Wong, H Xu - The Annals of Applied …, 2021 - projecteuclid.org
Orthogonal subsampling for big data linear regression Page 1 The Annals of Applied Statistics
2021, Vol. 15, No. 3, 1273–1290 https://doi.org/10.1214/21-AOAS1462 © Institute of Mathematical …

Near-optimal discrete optimization for experimental design: A regret minimization approach

Z Allen-Zhu, Y Li, A Singh, Y Wang - Mathematical Programming, 2021 - Springer
The experimental design problem concerns the selection of k points from a potentially large
design pool of p-dimensional vectors, so as to maximize the statistical efficiency regressed …

A near-optimal algorithm for approximating the john ellipsoid

MB Cohen, B Cousins, YT Lee… - Conference on Learning …, 2019 - proceedings.mlr.press
We develop a simple and efficient algorithm for approximating the John Ellipsoid of a
symmetric polytope. Our algorithm is near optimal in the sense that our time complexity …

Proportional Volume Sampling and Approximation Algorithms for -Optimal Design

A Nikolov, M Singh… - … of Operations Research, 2022 - pubsonline.informs.org
We study optimal design problems in which the goal is to choose a set of linear
measurements to obtain the most accurate estimate of an unknown vector. We study the A …

Lowcon: A design-based subsampling approach in a misspecified linear model

C Meng, R **e, A Mandal, X Zhang… - … of Computational and …, 2021 - Taylor & Francis
We consider a measurement constrained supervised learning problem, that is,(i) full sample
of the predictors are given;(ii) the response observations are unavailable and expensive to …

Near-optimal design of experiments via regret minimization

Z Allen-Zhu, Y Li, A Singh… - … Conference on Machine …, 2017 - proceedings.mlr.press
We consider computationally tractable methods for the experimental design problem, where
k out of n design points of dimension p are selected so that certain optimality criteria are …