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Consider the following loss function on vectors w€ R4: L(w) = w/ +2w+w²3 - 2w3w₁ +w² +2w₁ − 4w₂ +4 - What is VL(w)? • Suppose we use gradient descent to minimize this function and that the current estimate is (0, 0, 0, 0). If the step size is n, what is the next estimate?

Consider the following loss function on vectors w€ R4: L(w) = w/ +2w+w²3 - 2w3w₁ +w² +2w₁ − 4w₂ +4 - What is VL(w)? • Suppose we use gradient descent to minimize this function and that the current estimate is (0, 0, 0, 0). If the step size is n, what is the next estimate?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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Consider the following loss function on vectors w€ R4: L(w) = w/ +2w+w² - 2w3w₁ +w² +2w₁ − 4w₂ +4 - What is VL(w)? • Suppose we use gradient descent to minimize this function and that the current estimate is (0, 0, 0, 0). If the step size is n, what is the next estimate?
Transcribed Image Text:Consider the following loss function on vectors w€ R4: L(w) = w/ +2w+w² - 2w3w₁ +w² +2w₁ − 4w₂ +4 - What is VL(w)? • Suppose we use gradient descent to minimize this function and that the current estimate is (0, 0, 0, 0). If the step size is n, what is the next estimate?
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