Title
Robustness meets algorithms
Abstract
AbstractIn every corner of machine learning and statistics, there is a need for estimators that work not just in an idealized model, but even when their assumptions are violated. Unfortunately, in high dimensions, being provably robust and being efficiently computable are often at odds with each other.We give the first efficient algorithm for estimating the parameters of a high-dimensional Gaussian that is able to tolerate a constant fraction of corruptions that is independent of the dimension. Prior to our work, all known estimators either needed time exponential in the dimension to compute or could tolerate only an inverse-polynomial fraction of corruptions. Not only does our algorithm bridge the gap between robustness and algorithms, but also it turns out to be highly practical in a variety of settings.
Year
DOI
Venue
2021
10.1145/3453935
Communications of the ACM
DocType
Volume
Issue
Journal
64
5
ISSN
Citations 
PageRank 
0001-0782
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Ilias Diakonikolas177664.21
Gautam Kamath212616.77
Daniel M. Kane374361.43
Jerry Li422922.67
Ankur Moitra589256.19
Alistair Stewart600.34