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05/21/2023
Central Limit Theorem for Gram-Schmidt Random Walk Design
We prove a central limit theorem for the Horvitz-Thompson estimator base...
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03/30/2022
Spatially Adaptive Online Prediction of Piecewise Regular Functions
We consider the problem of estimating piecewise regular functions in an ...
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03/08/2022
Element-wise Estimation Error of Generalized Fused Lasso
The main result of this article is that we obtain an elementwise error b...
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01/07/2022
A Cross Validation Framework for Signal Denoising with Applications to Trend Filtering, Dyadic CART and Beyond
This paper formulates a general cross validation framework for signal de...
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10/19/2021
Regret Minimization in Isotonic, Heavy-Tailed Contextual Bandits via Adaptive Confidence Bands
In this paper we initiate a study of non parametric contextual bandits u...
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10/16/2021
Quantile Regression by Dyadic CART
In this paper we propose and study a version of the Dyadic Classificatio...
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07/20/2020
Localising change points in piecewise polynomials of general degrees
In this paper we are concerned with a sequence of univariate random vari...
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07/15/2020
Adaptive Quantile Trend Filtering
We study quantile trend filtering, a recently proposed method for one-di...
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05/03/2020
Plasticity without phenomenology: a first step
A novel, concurrent multiscale approach to meso/macroscale plasticity is...
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11/26/2019
Adaptive Estimation of Multivariate Piecewise Polynomials and Bounded Variation Functions by Optimal Decision Trees
Proposed by Donoho (1997), Dyadic CART is a nonparametric regression met...
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02/04/2019
New Risk Bounds for 2D Total Variation Denoising
2D Total Variation Denoising (TVD) is a widely used technique for image ...
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05/16/2018
Prediction Rule Reshaping
Two methods are proposed for high-dimensional shape-constrained regressi...
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05/24/2016