(2)损失函数和单变量一样,依然计算损失平方和均值 我们的目标和单变量线性回归问题中一样,是要找出使得代价函数最小的一系列参数。多变量线性回归的批量梯度下降算法为: 求导数后得到: (3)向量化计算 向量化计算可以加快计算速度,怎么转化为向量化计算呢? 在多变量情况下,损失函数可以写为: 对theta求导后得到: (1...
§ 2. 多变量线性回归 Linear Regression with Multiple Variables 1 多特征值(多变量) Multiple Features(Variables) 首先,举例说明了多特征值(多变量)的情况。在下图的例子中,x1,x2,x3,x4x1,x2,x3,x4都是输入的变量,因为变量个数大于一,所以也称为多变量的情况。 于是引出多变量线性回归的一般假设形式: 2...
import math; def sum_of_gradient(x, y, thetas): """计算梯度向量,参数分别是x和y轴点坐标数据以及方程参数""" m = len(x); grad0 = 1.0 / m * sum([(thetas[0] + thetas[1] * x[i] - y[i]) for i in range(m)]) grad1 = 1.0 / m * sum([(thetas[0] + thetas[1] *...
1. Multiple features(多维特征) 在机器学习之单变量线性回归(Linear Regression with One Variable)我们提到过的线性回归中,我们只有一个单一特征量(变量)——房屋面积x。我们希望使用这个特征量来预测房子的价格。我们的假设在下图中用蓝线划出: 不妨思考一下,如果我们不仅仅知道房屋面积(作为预测房屋价格的特征量(...
【Machine Learning】4 多变量线性回归(Linear Regression with Multiple Variables),程序员大本营,技术文章内容聚合第一站。
Linear Regression with multiple variables 4.1 Multiple features (多特征量) Multiple features (variables) Size (x1)(x_1)(x1) Number of bedrooms(x2)(x_2)(x2) Number of floors(x3)(x_3)(x3) Age of homes(x4)(x_4)(x4) Price(y)(y)(y) 2104 5 1 45 460......
in Multiple Linear RegressionPolynomial RegressionThe Partial F-Test: Tests for the Contribution of More than One Variable at the Same TimeSelecting the "Best" Regression ModelAnalysis of CovarianceDefining Dummy Variables for More Than Two GroupsMultiple Logistic RegressionUsing SAS for Computations...
Linear Regression with Multiple Variables. 1. Multivariate Linear Regression I would like to give full credits to the respective authors as these are my personal python notebooks taken from deep learning courses from Andrew Ng, Data School and Udemy :) This is a simple python notebook hosted ...
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Multiple linear regression (MLR) is a statistical technique that uses several explanatory variables to predict the outcome of a response variable.