The Broader Landscape of Robustness in Algorithmic Statistics

Fuente: arXiv
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1. Verfasser: Kamath, Gautam
Format: Preprint
Veröffentlicht: 2024
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author Kamath, Gautam
author_facet Kamath, Gautam
contents The last decade has seen a number of advances in computationally efficient algorithms for statistical methods subject to robustness constraints. An estimator may be robust in a number of different ways: to contamination of the dataset, to heavy-tailed data, or in the sense that it preserves privacy of the dataset. We survey recent results in these areas with a focus on the problem of mean estimation, drawing technical and conceptual connections between the various forms of robustness, showing that the same underlying algorithmic ideas lead to computationally efficient estimators in all these settings.
format Preprint
id arxiv_https___arxiv_org_abs_2412_02670
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Broader Landscape of Robustness in Algorithmic Statistics
Kamath, Gautam
Machine Learning
Cryptography and Security
Data Structures and Algorithms
Information Theory
Statistics Theory
The last decade has seen a number of advances in computationally efficient algorithms for statistical methods subject to robustness constraints. An estimator may be robust in a number of different ways: to contamination of the dataset, to heavy-tailed data, or in the sense that it preserves privacy of the dataset. We survey recent results in these areas with a focus on the problem of mean estimation, drawing technical and conceptual connections between the various forms of robustness, showing that the same underlying algorithmic ideas lead to computationally efficient estimators in all these settings.
title The Broader Landscape of Robustness in Algorithmic Statistics
topic Machine Learning
Cryptography and Security
Data Structures and Algorithms
Information Theory
Statistics Theory
url https://arxiv.org/abs/2412.02670