Linear regression is of two types, "simple linear regression" and "multiple linear regression", which we are going to discuss in the next two chapters of this tutorial.Advertisement - This is a modal window. No
Machine learning is the study of how to make computers learn better from historical data, to produce an excellent model that can improve the performance of a system. It is widely used to solve complex problems in practical engineering applications, business analysis, other fields. With the ...
After fitting in the linear regression function. This is how we get the predicted values of brain weight using linear regression: Here the increasing liner slope is the predicted set of values using linear regression algos and the red dots are the actual test values from here we can say that...
一元线性回归(Simple Linear Regression): 假设只有一个自变量x(independent variable,也可称为输入input, 特征feature),其与因变量y(dependent variable,也可称为响应response, 目标target)之间呈线性关系,当然x和y之间不会完全是直线关系,而是会有一些波动(因为在现实中,不一定只有一个自变量x会影响因变量y,可能还会...
三、Robust regression鲁棒线性回归(Laplace/Student似然+均匀先验) 因为先验服从均匀分布,所以求鲁棒线性回归即求Laplace/Student最大似然。在heavy tail(奇异点较多)情况下用鲁棒线性回归,因为Laplace/Student分布比高斯分布更鲁棒。 似然函数为: 由于零点不可微,所以求解析解困难,无法使用梯度下降法。引入Huber损失函数解...
import numpy as np import matplotlib.pyplot as plt from sklearn.preprocessing import PolynomialFeatures from sklearn.linear_model import LinearRegression # 构造模拟数据,X特征(一维) , y真值 x = np.random.uniform(-3, 3, size=100) X = x.reshape(-1, 1) y = 0.5 * x**2 + x + 2 + ...
多元线性回归(Multivariate Linear Regression): 上面说的是最简单的一元线性回归,那么如果特征不止一个呢?这时就要用到多元线性回归,此时目标方程式表示如下: (x1~xp表示p个特征) 参数a,b,特征x以及目标y可以用向量和矩阵的方式表示出来。 首先将特征表示为 n行p+1列的矩阵,每行对应一个样本,每列对应一个特征...
Linear regression is perhaps one of the most well known and well understood algorithms in statistics and machine learning. In this post you will discover the linear regression algorithm, how it works and how you can best use it in on your machine learning projects. In this post you will lear...
Linear regression in machine learning (ML) builds on this fundamental concept to model the relationship between variables using various ML techniques to generate a regression line between variables such as sales rate and marketing spend. In practice, ML tends to be more useful when working with mul...
In Machine Learning, predicting the future is very important. How Does it Work? Python has methods for finding a relationship between data-points and to draw a line of linear regression. We will show you how to use these methods instead of going through the mathematic formula. ...