[Coursera][Stanford] Machine Learning Week 3

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时间:2014年8月12日 -- 16日

1. Logistic Regression 逻辑回归

     介绍分类(classification) 的概念,S型函数,Decision Boundary,Cost Function,Optimization algorithm, Multiclassification:one-vs-all


2.Regularization 正则化

    overfitting, cost function, Regularization, Normal equation, Non-invertibility



Programming Exercises 2

1 Logistic Regression

1.2 Implementation
1.2.1 Warmup exercise: sigmoid function

g = 1 ./ (1 + exp(-z));

1.2.2 Cost function and gradient

h = 1 ./ (1 + exp(- X * theta));J = - (1 / m) * ((y' * log(h)) + (1 - y)' * log(1 - h));grad = (1 / m) * X' * (h - y);

1.2.4 Evaluating logistic regression

s = sigmoid(X * theta);for  i = 1:m    if s(i) >= 0.5        p(i) = 1;    else        p(i) = 0;    end  end

2 Regularized logistic regression

2.3 Cost function and gradient

h = 1 ./ (1 + exp(- X * theta));J = - (1 / m) * ((y' * log(h)) + (1 - y)' * log(1 - h)) + (lambda / (2 * m)) * sum(theta(2:end) .^ 2);grad = (1 / m) * X' * (h - y) + (lambda /  m) * [0;theta(2:end)];


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