标签：算法 math 梯度 span ext variables image 图片 machine
相应的公式如下：
\[
\begin{array}{l}{\text { repeat until convergence: }\{} \\ {\theta_{j}:=\theta_{j}-\alpha \frac{1}{m} \sum_{i=1}^{m}\left(h \theta\left(x^{(i)}\right)-y^{(i)}\right) \cdot x_{j}^{(i)} \quad \text { for } j:=0 \ldots n} \\ {\}}\end{array}
\]
也就是：
\[
\begin{array}{l}{\text { repeat until convergence: }\{} \\ {\theta_{0}:=\theta_{0}-\alpha \frac{1}{m} \sum_{i=1}^{m}\left(h_{\theta}\left(x^{(i)}\right)-y^{(i)}\right) \cdot x_{0}^{(i)}} \\ {\theta_{1}:=\theta_{1}-\alpha \frac{1}{m} \sum_{i=1}^{m}\left(h_{\theta}\left(x^{(i)}\right)-y^{(i)}\right) \cdot x_{1}^{(i)}} \\ {\theta_{2}:=\theta_{2}-\alpha \frac{1}{m} \sum_{i=1}^{m}\left(h_{\theta}\left(x^{(i)}\right)-y^{(i)}\right) \cdot x_{2}^{(i)}} \\ {\cdots} \\ {\}^{\cdots}}\end{array}
\]
\(\theta_{0}\)、\(\theta_{1}\)、\(\theta_{2}\)...这些参数要同时更新
【Course】Machine learning：Week 2-Lecture1-Gradient Descent For Multiple Variables
标签：算法 math 梯度 span ext variables image 图片 machine
原文地址：https://www.cnblogs.com/Ireland/p/12337580.html
