MAI391_-_Pactice_-_Questions_191.webp
hirosi212

MAI391_-_Pactice_-_Questions_191.webp

We are using the Gradient Descent algorithm with momentum to solve the following problem:
Min f(x,y)=3x^{2}+y^{2}+2xy+x-3y+1
The current iterate is (x_{i},y_{i})=(1,1) and the previous iterate is (Xi-1, Yi-1) = (2, 2).
Using the learning rate (step-size) \gamma=0.2 for the gradient descent algorithm with momentum \alpha=0.3 what is the next iterate (x_{i+1},y_{i+1}) ?

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