1. Logistic regression with ±1 labels. Logistic regression (with ±1 labels) maximizes thelikelihoodL(Bo, B)= II P(Xi) II (1-p(Xi)),i:Y₂=1i:Yį=-11eBo+3x=1+e-(Bo+BTx) 1+eo+Tp(x) =Show that this is equivalent to minimizing the cost functionnl(Bo, B) = log(1 + exp(-Y; (Bo + BTX;))).i=1Hint: Maximizing the likelihood is equivalent to minimizing the negative log-likelihood.

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1. Logistic regression with ±1 labels. Logistic regression (with ±1 labels) maximizes the likelihood L(βο,β) = Π P(X;) Π (1 - p(X;)), = i:Y₁=1 i:Y₁=-1 1 e³o+BTI = 1+e-(Bo+BT) 1+eBo+3x p(x) = Show that this is equivalent to minimizing the cost function n l(Bo, B) = log(1 + exp(-Yi (Bo + BTX₂))). i=1 Hint: Maximizing the likelihood is equivalent to minimizing the negative log-likelihood.

1. Logistic regression with ±1 labels. Logistic regression (with ±1 labels) maximizes the likelihood L(βο,β) = Π P(X;) Π (1 - p(X;)), = i:Y₁=1 i:Y₁=-1 1 e³o+BTI = 1+e-(Bo+BT) 1+eBo+3x p(x) = Show that this is equivalent to minimizing the cost function n l(Bo, B) = log(1 + exp(-Yi (Bo + BTX₂))). i=1 Hint: Maximizing the likelihood is equivalent to minimizing the negative log-likelihood.

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.

Chapter9: Multivariable Calculus

Section9.1: Functions Of Several Variables

Problem 34E: The following table provides values of the function f(x,y). However, because of potential; errors in...

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