To start with, we are going to discuss one of thesimplest regression i.e. linear regressionandwe will code a simple machine learning programme to predict the relationship between the head size and the brain weight of different users. Example: Linear Regression Implementation Question To start with...
temp=x*theta'-y;sqrerrors=temp.^2;theta=theta-learning_rate*(1/m)*(temp'*x);Jcost(step)=(1/2*m)*sum(sqrerrors);disp(step),disp(Jcost(step))end figure;plot(Jcost)title('The relation between J and iteration ');ylabel('J')xlabel('iteration')legend('\alpha = 0.07')figureplot(...
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.In the example below, the x-axis represents age, and the y-axis represents speed. We have ...
优化代码如下: 通过循环迭代,我们发现,当迭代次数达到200时,函数就已经收敛,作图如下: 曲线表示损失函数的值随着迭代次数的变化趋势,完成200次迭代之后,曲线已经收敛。 计算出的theta值如下: 根据迭代求得的theta值得到房价关于标准化后的数值的函数关系式,做出图像如下: 可以看到,根据theta值得到一个平面如上图所示,...
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...
Linear Regression with machine learning methods Ha, it's English time, let's spend a few minutes to learn a simple machine learning example in a simple passage. Introduction What is machine learning? you design methods for machine to learn itself and improve itself....
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 + ...
Linear regression in machine learning is defined as a statistical model that analyzes the linear relationship between a dependent variable and a given set of independent variables. The linear relationship between variables means that when the value of one or more independent variables will change (...
Chapter 1 线性回归(Linear Regression)详细公式推导 何路飞 机器学习01——线性回归算法 一、线性回归概述1. 什么是回归算法?回归算法是指处理标签数值类型为连续型数值,通过训练已有的数据集生成预测模型,根据输入的特征值来预测标签值,是一种有监督的算法。 2. 什么是线性… 小明同学发表于数据分析学... 机器学...
PyTorch学习——Andrew Ng machine-learning-ex1 Linear Regression实现 目录Exercise 1: Linear Regression 1. Linear模型 2. 读取数据 3.线性回归 4.数据测试 Exercise 1: Linear Regression Ng老师的作业使用python即可实现,使用pytorch实现是为了加深对机器学习算法和pytorch使用的理解。 需要用到的库 1. Linear...