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Beyond Lazy Training for Over-parameterized Tensor Decomposition
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- 1 Intro
- 2 Tensor (CP) decomposition
- 3 Why naïve algorithm fails
- 4 Why gradient descent?
- 5 Two-Layer Neural Network
- 6 Form of the objective
- 7 Difficulties of analyzing gradient descent
- 8 Lazy training fails
- 9 O is a high order saddle point
- 10 Our (high level) algorithm
- 11 Proof ideas
- 12 Iterates remain close to correct subspace
- 13 Escaping local minima by random correlation
- 14 Amplify initial correlation by tensor power method
- 15 Conclusions and Open Problems