Outlier-Robust Clustering of Gaussians and Other Non-Spherical Mixtures

Outlier-Robust Clustering of Gaussians and Other Non-Spherical Mixtures

IEEE FOCS: Foundations of Computer Science via YouTube Direct link

High-Level Sum of Squares Relaxation

13 of 14

13 of 14

High-Level Sum of Squares Relaxation

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Outlier-Robust Clustering of Gaussians and Other Non-Spherical Mixtures

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  1. 1 Intro
  2. 2 This paper: Outlier-Robust Clustering Gaussian Mixtures
  3. 3 Robust Statistics
  4. 4 Main result: Robustly clustering Gaussian Mixtures
  5. 5 Consequence of our techniques: Robust Covariance Estimation
  6. 6 Mean or covariance separation does not suffice
  7. 7 Lemma: TV-separation to Parameter separation
  8. 8 Simplifying Assumptions
  9. 9 A Hard Interlude
  10. 10 Anti-Concentration
  11. 11 An Inefficient Algorithm
  12. 12 A Sum-of-Squares Relaxation
  13. 13 High-Level Sum of Squares Relaxation
  14. 14 Proof Outline

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