Math Problem Statement
Logistic regression.pdf
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Evaluate the vectorized gradient of the cost function for the logistic model: g(-2+0.5X), function, where feature vector X=[1,2,3], and label Y=[0, 1,1], b0?
Solution
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Math Problem Analysis
Mathematical Concepts
Logistic Regression
Cost Function
Gradient Descent
Sigmoid Function
Formulas
Sigmoid function: g(z) = 1 / (1 + e^(-z))
Gradient of cost function: ∇J(β) = (1/m) X^T (h - y)
Cost function: J(β) = -(1/m) Σ[y log(h) + (1 - y) log(1 - h)]
Theorems
Maximum Likelihood Estimation
Suitable Grade Level
Undergraduate Level
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