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05/25/2023
Finite sample rates for logistic regression with small noise or few samples
The logistic regression estimator is known to inflate the magnitude of i...
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05/05/2021
AdaBoost and robust one-bit compressed sensing
This paper studies binary classification in robust one-bit compressed se...
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01/26/2021
Tensor denoising with trend filtering
We extend the notion of trend filtering to tensors by considering the k^...
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12/01/2020
On the robustness of minimum-norm interpolators
This article develops a general theory for minimum-norm interpolated est...
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03/05/2020
Logistic regression with total variation regularization
We study logistic regression with total variation penalty on the canonic...
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11/17/2019
Oracle inequalities for image denoising with total variation regularization
We derive oracle results for discrete image denoising with a total varia...
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04/24/2019
Prediction bounds for (higher order) total variation regularized least squares
We establish oracle inequalities for the least squares estimator f̂ with...
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04/24/2019
Prediction bounds for (higher order) total variationregularized least squares
We establish oracle inequalities for the least squares estimator f̂ with...
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02/28/2019
Oracle inequalities for square root analysis estimators with application to total variation penalties
We study the analysis estimator directly, without any step through a syn...
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01/18/2019
Synthesis and analysis in total variation regularization
We generalize the bridge between analysis and synthesis estimators by El...
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11/26/2018
Sparse spectral estimation with missing and corrupted measurements
Supervised learning methods with missing data have been extensively stud...
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09/24/2018
Convergence rates for Penalised Least Squares Estimators in PDE-constrained regression problems
We consider PDE constrained nonparametric regression problems in which t...
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06/05/2018
A Framework for the construction of upper bounds on the number of affine linear regions of ReLU feed-forward neural networks
In this work we present a new framework to derive upper bounds on the nu...
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06/04/2018
On the total variation regularized estimator over a class of tree graphs
We generalize to tree graphs obtained by connecting path graphs an oracl...
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06/04/2018
On the total variation regularized estimator over the branched path graph
We generalize to tree graphs obtained by connecting path graphs an oracl...
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04/03/2018
On tight bounds for the Lasso
We present upper and lower bounds for the prediction error of the Lasso....
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02/27/2018
Sharp oracle inequalities for stationary points of nonconvex penalized M-estimators
Many statistical estimation procedures lead to nonconvex optimization pr...
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01/31/2018
De-biased sparse PCA: Inference and testing for eigenstructure of large covariance matrices
Sparse principal component analysis (sPCA) has become one of the most wi...
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01/25/2018
Inference in high-dimensional graphical models
We provide a selected overview of methodology and theory for estimation ...
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06/28/2017
Asymptotic Confidence Regions for High-dimensional Structured Sparsity
In the setting of high-dimensional linear regression models, we propose ...
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06/25/2008