Let Y: → {-1, 1} be a binary variable Y and consider its prediction from a variable X: N→ R. Prove that the Bayes predictors for the 0/1 loss function r(y, y') = 1y loss (y, y) = (y - y')² coincide. Lyty and for the quadratic

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Let Y : N → {-1, 1} be a binary variable Y and consider its prediction from a variable X :
N - R.
Prove that the Bayes predictors for the 0/1 loss function r(y, y') = 1yty and for the quadratic
loss ř(y, y') = (y - y')2 coincide.
%3D
Transcribed Image Text:Let Y : N → {-1, 1} be a binary variable Y and consider its prediction from a variable X : N - R. Prove that the Bayes predictors for the 0/1 loss function r(y, y') = 1yty and for the quadratic loss ř(y, y') = (y - y')2 coincide. %3D
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