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20202026
most citedNear-Optimal SQ Lower Bounds for Agnostically Learning Halfspaces and ReLUs under Gaussian Marginals

10 citations · 53 across the 28 of their papers we have counts for

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Showing 2024Show all

7 papers · 1 filter

cs.LG2024

Reliable Learning of Halfspaces under Gaussian Marginals

Ilias Diakonikolas, Lisheng Ren, Nikos Zarifis

We study the problem of PAC learning halfspaces in the reliable agnostic model of Kalai et al. (2012). The reliable PAC model captures learning scenarios where one type of error is…

cs.LG2024

Sample and Computationally Efficient Robust Learning of Gaussian Single-Index Models

Puqian Wang, Nikos Zarifis, Ilias Diakonikolas +1

A single-index model (SIM) is a function of the form , where is a known link function and …

cs.LG2024

Efficient Testable Learning of General Halfspaces with Adversarial Label Noise

Ilias Diakonikolas, Daniel M. Kane, Sihan Liu +1

We study the task of testable learning of general -- not necessarily homogeneous -- halfspaces with adversarial label noise with respect to the Gaussian distribution. In the testab…

cs.LG2024

Online Learning of Halfspaces with Massart Noise

Ilias Diakonikolas, Vasilis Kontonis, Christos Tzamos +1

We study the task of online learning in the presence of Massart noise. Instead of assuming that the online adversary chooses an arbitrary sequence of labels, we assume that the con…

cs.DS2024

Super Non-singular Decompositions of Polynomials and their Application to Robustly Learning Low-degree PTFs

Ilias Diakonikolas, Daniel M. Kane, Vasilis Kontonis +2

We study the efficient learnability of low-degree polynomial threshold functions (PTFs) in the presence of a constant fraction of adversarial corruptions. Our main algorithmic resu…

cs.DS2024

Statistical Query Lower Bounds for Learning Truncated Gaussians

Ilias Diakonikolas, Daniel M. Kane, Thanasis Pittas +1

We study the problem of estimating the mean of an identity covariance Gaussian in the truncated setting, in the regime when the truncation set comes from a low-complexity family $\…

cs.LG2024

Robustly Learning Single-Index Models via Alignment Sharpness

Nikos Zarifis, Puqian Wang, Ilias Diakonikolas +1

We study the problem of learning Single-Index Models under the loss in the agnostic model. We give an efficient learning algorithm, achieving a constant factor approximatio…