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Adventures in Linear Algebra++ and Unsupervised Learning

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Explores connections between advanced linear algebra techniques and unsupervised learning, focusing on how linear-algebraic tools can be used to design or analyze algorithms for unsupervised tasks. Discusses specific mathematical frameworks and methods from linear algebra that inform algorithmic approaches in unsupervised learning.

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  1. 0:00Intro
  2. 1:04Is NP-hardness an obstacle for theory?
  3. 3:59Classical Lin. Algebra: least square variants
  4. 4:41Semi-classical linear algebra
  5. 12:06Tensor variants of spectral methods
  6. 14:03Main paradigm for unsupervised Learning
  7. 16:46Inverse Moment Problem
  8. 18:49Topic Models
  9. 19:37"Bag of words" Assumption in Text Analysis
  10. 20:33Hidden Variable Explanation
  11. 40:17Ex 3: Dictionary Learning (aka Sparse Coding)
  12. 41:59Why dictionary learning? Olshausen Field '96
  13. 44:53"Energy minimization" heuristic
  14. 50:09Understanding "randomly-wired" deep nets
  15. 53:36Example of a useful ingredient
  16. 54:56Open Problems (LinAL++)
  17. 56:56Open Problems (ML)
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