4 papers · 1 filter
Polynomial-Time Robust Multiclass Linear Classification under Gaussian Marginals
Ilias Diakonikolas, Giannis Iakovidis, Mingchen Ma
We study the task of agnostic learning of multiclass linear classifiers under the Gaussian distribution. Given labeled examples from a distribution over $\mathbb{R}^d \tim…
Sample Complexity Bounds for Robust Mean Estimation with Mean-Shift Contamination
Ilias Diakonikolas, Giannis Iakovidis, Daniel M. Kane +1
We study the basic task of mean estimation in the presence of mean-shift contamination. In the mean-shift contamination model, an adversary is allowed to replace a small constant f…
Algorithms and SQ Lower Bounds for Robustly Learning Real-valued Multi-index Models
Ilias Diakonikolas, Giannis Iakovidis, Daniel M. Kane +1
We study the complexity of learning real-valued Multi-Index Models (MIMs) under the Gaussian distribution. A -MIM is a function that depends only…
Robust Learning of Multi-index Models via Iterative Subspace Approximation
Ilias Diakonikolas, Giannis Iakovidis, Daniel M. Kane +1
We study the task of learning Multi-Index Models (MIMs) with label noise under the Gaussian distribution. A -MIM is any function that only depends on a -dimensional subsp…