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20242026
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cs.LG2026

High-Dimensional Gaussian Mean Estimation under Realizable Contamination

Ilias Diakonikolas, Daniel M. Kane, Thanasis Pittas

The paper investigates estimating the mean of a high‑dimensional Gaussian when each sample may be missing with a bounded, data‑dependent probability (realizable ε‑contamination), p…

cs.LG2026

Robust Regression of General ReLUs with Queries

Ilias Diakonikolas, Daniel M. Kane, Mingchen Ma

We study the task of agnostically learning general (as opposed to homogeneous) ReLUs under the Gaussian distribution with respect to the squared loss. In the passive learning setti…

cs.LG2026

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…

cs.LG2026

Statistical Query Lower Bounds for Smoothed Agnostic Learning

Ilias Diakonikolas, Daniel M. Kane

We study the complexity of smoothed agnostic learning, recently introduced by~\cite{CKKMS24}, in which the learner competes with the best classifier in a target class under slight…

cs.LG2025

Replicable Distribution Testing

Ilias Diakonikolas, Jingyi Gao, Daniel Kane +2

We initiate a systematic investigation of distribution testing in the framework of algorithmic replicability. Specifically, given independent samples from a collection of probabili…

cs.LG2025

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…