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on
1
Intro
2
Gaussian Mixture Models
3
Parameter Estimation
4
Method of Moments
5
Low Degree Moments
6
Obstacle
7
Dimension Reduction Redux
8
Using Higher Moments
9
Zero Set
10
Difficulties
11
Main Technical Lemma
12
Cover
13
Density Estimation
14
Mixtures of Linear Regressions
15
Conclusions
Description:
Explore a 25-minute IEEE conference talk on advanced statistical techniques for learning latent variable models. Delve into Gaussian Mixture Models, parameter estimation, and the Method of Moments. Examine the challenges of low degree moments and dimension reduction. Investigate the use of higher moments and zero sets in overcoming obstacles. Understand the main technical lemma and its application to cover and density estimation. Learn about mixtures of linear regressions and their implications. Gain insights from experts Ilias Diakonikolas (UW Madison) and Daniel Kane (UCSD) on small covers for near-zero sets of polynomials and their relevance to learning latent variable models.

Small Covers for Near-zero Sets of Polynomials and Learning Latent Variable Models

IEEE
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