MMSE 学习笔记

*欢迎转载,请注明出处*

Note Author : yanbin chen

Email: [email protected] 

 

Reference book

回归分析及其试验设计(Regression analysis and experiment design).-茆诗松 Shisong Mao.

 

MMSE definition.

 

With given data, Err is β’s non-negative 2nd order function. It’s minimum value is exist.

The partial derivative should be zero for error minimization.

This is normal equation.  can be written in following format.

Again. expend the equation.

MMSE 学习笔记_第1张图片

Left side coefficient Matrix is symmetric matrices  A=X' X  

Right side constant item Z can be expressed in   Z=X' Y  

MMSE 学习笔记_第2张图片

 

 

你可能感兴趣的:(python)