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REPORTS > KEYWORD > MIXTURES OF GAUSSIANS:
Reports tagged with mixtures of Gaussians:
TR16-177 | 11th November 2016
Ilias Diakonikolas, Daniel Kane, Alistair Stewart

#### Statistical Query Lower Bounds for Robust Estimation of High-dimensional Gaussians and Gaussian Mixtures

Revisions: 1

We prove the first {\em Statistical Query lower bounds} for two fundamental high-dimensional learning problems involving Gaussian distributions: (1) learning Gaussian mixture models (GMMs), and (2) robust (agnostic) learning of a single unknown mean Gaussian. In particular, we show a {\em super-polynomial gap} between the (information-theoretic) sample complexity and the ... more >>>

TR20-080 | 19th May 2020
Joan Bruna, Oded Regev, Min Jae Song, Yi Tang

#### Continuous LWE

Revisions: 1

We introduce a continuous analogue of the Learning with Errors (LWE) problem, which we name CLWE. We give a polynomial-time quantum reduction from worst-case lattice problems to CLWE, showing that CLWE enjoys similar hardness guarantees to those of LWE. Alternatively, our result can also be seen as opening new avenues ... more >>>

ISSN 1433-8092 | Imprint