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20082022
most citedEstimation of high-dimensional low-rank matrices

354 citations · 390 across the 12 of their papers we have counts for

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9 papers · 1 filter

math.ST2022★ 2 cited

Sharp adaptive and pathwise stable similarity testing for scalar ergodic diffusions

Johannes Brutsche, Angelika Rohde

Within the nonparametric diffusion model, we develop a multiple test to infer about similarity of an unknown drift to some reference drift : At prescribed significance, we…

math.ST2020

Interactive versus non-interactive locally differentially private estimation: Two elbows for the quadratic functional

Cristina Butucea, Angelika Rohde, Lukas Steinberger

Local differential privacy has recently received increasing attention from the statistics community as a valuable tool to protect the privacy of individual data owners without the…

math.ST2018

Geometrizing rates of convergence under local differential privacy constraints

Angelika Rohde, Lukas Steinberger

We study the problem of estimating a functional of an unknown probability distribution in which the original iid sample is…

math.ST2016

Locally Adaptive Confidence Bands

Tim Patschkowski, Angelika Rohde

We develop honest and locally adaptive confidence bands for probability densities. They provide substantially improved confidence statements in case of inhomogeneous smoothness, an…

math.ST2014★ 15 cited

Adaptation to lowest density regions with application to support recovery

Tim Patschkowski, Angelika Rohde

A scheme for locally adaptive bandwidth selection is proposed which sensitively shrinks the bandwidth of a kernel estimator at lowest density regions such as the support boundary w…

math.ST2009★ 354 cited

Estimation of high-dimensional low-rank matrices

Angelika Rohde, Alexandre B. Tsybakov

Suppose that we observe entries or, more generally, linear combinations of entries of an unknown -matrix corrupted by noise. We are particularly interested in the hi…