Beyond Lazy Training for Over-parameterized Tensor Decomposition

Beyond Lazy Training for Over-parameterized Tensor Decomposition

Fields Institute via YouTube Direct link

Intro

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1 of 17

Intro

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Beyond Lazy Training for Over-parameterized Tensor Decomposition

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  1. 1 Intro
  2. 2 Low rank models and implicit regularizati
  3. 3 Regimes of over-parametrization
  4. 4 Tensor (CP) decomposition
  5. 5 Why naïve algorithm fails
  6. 6 Why gradient descent?
  7. 7 Two-Layer Neural Network
  8. 8 Form of the objective
  9. 9 Difficulties of analyzing gradient descent
  10. 10 Lazy training fails
  11. 11 O is a high order saddle point
  12. 12 There are local minima away from 0
  13. 13 Our (high level) algorithm
  14. 14 Proof ideas
  15. 15 Escaping local minima by random correla
  16. 16 Amplify initial correlation by tensor power man
  17. 17 Conclusions and Open Problems

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