Classification Type of Probabilistic Classifier

for some x in Rd
y in [0,1] for binary classification

model relationship between y and x using Bernoulli Distribution

Bernoulli Distribution

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Logistic Sigmoid Function

Setting the probability of y, ℳ as a function of x

Sigmoid Function

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Euler’s number

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Logistic Sigmoid Function

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Cross Entropy Error Function

Cross Entropy Error

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Gradient Descent

Gradient Descent and Stochastic Gradient Descent can be used

Logistic Regression Gradient

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Regularization