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For questions about implementing and improving optimization algorithms used in creating AI programs, or optimization in general.
6
votes
Accepted
Why is second-order backpropagation useful?
Second-order optimization algorithms like Hessian optimization have more information on the curvature of the loss function, so converge much, much faster than first-order optimization algorithms like gradient … n$ iterations of a standard first-order optimization algorithm. …
1
vote
Why is Adam trapped in bad/suspicious local optima after the first few updates?
The authors describe their belief in Section 3:
Due to the lack of samples in the early stage, the adaptive learning rate has an undesirably large variance, which leads to suspicious/bad local optima …
4
votes
Accepted
How are these equations of SGD with momentum equivalent?
The first two equations are equivalent. The last equation can be equivalent if you scale $\alpha$ appropriately.
Equation 1
Consider the equation from the Stanford slide:
$$
v_{t}=\rho v_{t-1}+\nabla …