Polynomial-Time Power-Sum Decomposition of Polynomials - Efficient Algorithms and Applications

Polynomial-Time Power-Sum Decomposition of Polynomials - Efficient Algorithms and Applications

Centre de recherches mathématiques - CRM via YouTube Direct link

Application: Mixture of Gaussians

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6 of 18

Application: Mixture of Gaussians

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Polynomial-Time Power-Sum Decomposition of Polynomials - Efficient Algorithms and Applications

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  1. 1 Intro
  2. 2 Why Study Power Sums?
  3. 3 Tensor Decomposition with Symmetries
  4. 4 Decomposing Generic Polynomials
  5. 5 Main Prior Works
  6. 6 Application: Mixture of Gaussians
  7. 7 GHK Approach
  8. 8 Algorithm Outline
  9. 9 Span Finding
  10. 10 Outline of Algorithm
  11. 11 Noise Resilience
  12. 12 Rest of the talk
  13. 13 Linear Dependencies of V
  14. 14 Singular Value Lower Bounds
  15. 15 Trace Moment Method
  16. 16 Example: Gaussian Matrix
  17. 17 Graph Matrices
  18. 18 Summary of the talk

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