Normal equation: 一种用来linear regression问题的求解Θ的方法,另一种可以是gradient descent 仅适用于linear regression问题的求解,对其它的问题如classification problem或者feature number太大的情况下(计算量会很大)则不能使用normal equation,而应使用gradient descent来求解. (由求导的过程推导而得) 这种方法是对cost function(J(θ),θ为n+1维向量(…

theta=(Xt*X)^-1 Xt*y x is feature matrix y is expectation…

Introduction Optimization is always the ultimate goal whether you are dealing with a real life problem or building a software product. I, as a computer science student, always fiddled with optimizing my code to the extent that I could brag about its…

I was going through the Coursera "Machine Learning" course, and in the section on multivariate linear regression something caught my eye. Andrew Ng presented the Normal Equation as an analytical solution to the linear regression problem with a l…

  Basic theory (i) Supervised learning (parametric/non-parametric algorithms, support vector machines, kernels, neural networks, )  regression, classification. (ii) Unsupervised learning (clustering, dimensionality reduction, recommender systems, dee…

Multiple Features 上一章中,hθ(x) = θ0 + θ1x,表示只有一个 feature.现在,有多个 features,所以 hθ(x) = θ0 + θ1x1 + θ2x2 + ... + θjxj.为了标记的方便,增加 x0 = 1 用向量表示 这里的 X 表示单行 Xi.如果是表示所有的 hθ(x),就会 X * θ(X 表示所有 x 的值) Gradient Descent For Multiple Features 也是同理,扩展到 j 个,就不再赘述. Grad…

##Linear Regression with One Variable Linear regression predicts a real-valued output based on an input value. We discuss the application of linear regression to housing price prediction, present the notion of a cost function, and introduce the gradi…

##Advice for Applying Machine Learning Applying machine learning in practice is not always straightforward. In this module, we share best practices for applying machine learning in practice, and discuss the best ways to evaluate performance of the le…

本文会讲到: (1)另一种线性回归方法:Normal Equation: (2)Gradient Descent与Normal Equation的优缺点:   前面我们通过Gradient Descent的方法进行了线性回归,但是梯度下降有如下特点: (1)需要预先选定Learning rate: (2)需要多次iteration: (3)需要Feature Scaling:   因此可能会比较麻烦,这里介绍一种适用于Feature数量较少时使用的方法:Normal Equation:   当F…

Logistic regression is a method for classifying data into discrete outcomes. For example, we might use logistic regression to classify an email as spam or not spam. In this module, we introduce the notion of classification, the cost function for logi…