Miles E. Lopes

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University of California-Davis ∙ berkeley college

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Central Limit Theorem and Bootstrap Approximation in High Dimensions with Near 1/√(n) Rates

Non-asymptotic bounds for Gaussian and bootstrap approximation have rece...
09/13/2020 ∙ by Miles E. Lopes, et al. ∙ 0 ∙ share

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High-dimensional MANOVA via Bootstrapping and its Application to Functional and Sparse Count Data

We propose a new approach to the problem of high-dimensional multivariat...
07/02/2020 ∙ by Zhenhua Lin, et al. ∙ 0 ∙ share

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Error Estimation for Sketched SVD via the Bootstrap

In order to compute fast approximations to the singular value decomposit...
03/10/2020 ∙ by Miles E. Lopes, et al. ∙ 0 ∙ share

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Bootstrapping the Operator Norm in High Dimensions: Error Estimation for Covariance Matrices and Sketching

Although the operator (spectral) norm is one of the most widely used met...
09/13/2019 ∙ by Miles E. Lopes, et al. ∙ 0 ∙ share

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Measuring the Algorithmic Convergence of Randomized Ensembles: The Regression Setting

When randomized ensemble methods such as bagging and random forests are ...
08/04/2019 ∙ by Miles E. Lopes, et al. ∙ 0 ∙ share

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Estimating the Algorithmic Variance of Randomized Ensembles via the Bootstrap

Although the methods of bagging and random forests are some of the most ...
07/20/2019 ∙ by Miles E. Lopes, et al. ∙ 0 ∙ share

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On the Maximum of Dependent Gaussian Random Variables: A Sharp Bound for the Lower Tail

Although there is an extensive literature on the maxima of Gaussian proc...
09/23/2018 ∙ by Miles E. Lopes, et al. ∙ 0 ∙ share

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Bootstrapping Max Statistics in High Dimensions: Near-Parametric Rates Under Weak Variance Decay and Application to Functional Data Analysis

In recent years, bootstrap methods have drawn attention for their abilit...
07/12/2018 ∙ by Miles E. Lopes, et al. ∙ 0 ∙ share

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Error Estimation for Randomized Least-Squares Algorithms via the Bootstrap

Over the course of the past decade, a variety of randomized algorithms h...
03/21/2018 ∙ by Miles E. Lopes, et al. ∙ 0 ∙ share

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A Bootstrap Method for Error Estimation in Randomized Matrix Multiplication

In recent years, randomized methods for numerical linear algebra have re...
08/06/2017 ∙ by Miles E. Lopes, et al. ∙ 0 ∙ share

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A Residual Bootstrap for High-Dimensional Regression with Near Low-Rank Designs

We study the residual bootstrap (RB) method in the context of high-dimen...
07/04/2016 ∙ by Miles E. Lopes, et al. ∙ 0 ∙ share

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A Sharp Bound on the Computation-Accuracy Tradeoff for Majority Voting Ensembles

When random forests are used for binary classification, an ensemble of t...
03/04/2013 ∙ by Miles E. Lopes, et al. ∙ 0 ∙ share

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Estimating Unknown Sparsity in Compressed Sensing

In the theory of compressed sensing (CS), the sparsity ||x||_0 of the un...
04/19/2012 ∙ by Miles E. Lopes, et al. ∙ 0 ∙ share

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A More Powerful Two-Sample Test in High Dimensions using Random Projection

We consider the hypothesis testing problem of detecting a shift between ...
08/11/2011 ∙ by Miles E. Lopes, et al. ∙ 0 ∙ share

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