find the derivatives of the loss term w.r.t. 0: Given the loss term where l(0) =...

  

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find the derivatives of the loss term w.r.t. 0: Given the loss term where l(0) = y log(h(0x)) + (1 y) log(1 h(0x)) 1 X1 X2, 02 write down the analytical expression of the derivative of (0) w.r.t. 0: al (0) 20 l (8) h(z)= = 1 1+e-z' 0 = Vol(0) Complete the following derivation: = 00 0 20 l (0) and = = 2 Write down a step-by-step derivation. You will have to use the following math- ematical facts. In every step of the derivation, explain how you used these mathematical facts. use the chain-rule: dy = = dy dz dz dx derivative of the log function: derivative of h(x): 1 1+e-a d log(x) 1 X x dh(x) X = = = h(x)(1 h(x)) find the derivatives of the loss term w.r.t. 0: Given the loss term where l(0) = y log(h(0x)) + (1 y) log(1 h(0x)) 1 X1 X2, 02 write down the analytical expression of the derivative of (0) w.r.t. 0: al (0) 20 l (8) h(z)= = 1 1+e-z' 0 = Vol(0) Complete the following derivation: = 00 0 20 l (0) and = = 2 Write down a step-by-step derivation. You will have to use the following math- ematical facts. In every step of the derivation, explain how you used these mathematical facts. use the chain-rule: dy = = dy dz dz dx derivative of the log function: derivative of h(x): 1 1+e-a d log(x) 1 X x dh(x) X = = = h(x)(1 h(x))

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