567.txt

This complete matlab for neural network

发信人: fervvac (高远), 信区: DataMining
标  题: Re: 对偶性问题
发信站: 南京大学小百合站 (Tue Oct 29 15:32:06 2002), 站内信件

In the highest level, you want to find a "mapping" between your algebra syste
m and the existing algebra system on matrix. 

Basically your system should be homo*** with the matrix one, so that you can use
existing algorithms / operation / theorems for the matrix system. To that end,
you have to define what is the reverse element for any element in your system.
In fact, - is not a valid operation. a - b should be a + (b -1)), where b-1 is
the reverse element w.r.t. + (sorry, should be b^-1).

If you define + to be min, there is no reverse element for any non-zero 
element. That means your system is totally different from the martrix one
due to your definition of + operator. That beats the purpose of your approach.

【 在 helloboy (hello) 的大作中提到: 】
: thx.
: 0 -> MAX(最大的正数）
: + -> min
: So
: a+b -> min (a,b)
: a+0 -> min( a, MAX) =a
: 这些在影射后都是对的。
: So I want to ask
: a - b -> ?(a,b)
: 同样
: a - 0 =a -> ?(a,MAX)=a
: 我就是说?其实可以取min运算。
: 但是原来代数里面的-号是非对称的。a-b <> b-a
: 但 - ->min的话，
: a - b -> min(a, b)=min(b,a)
: 【 在 fervvac (高远) 的大作中提到: 】
: : 1. It is not dual, it is homo??? (TONG GOU) in algebra
: : 2. You can refer to (advanced) algebra for a more theoretic desc treatmen..
: : the topic.  You will see everything is  integrated ni ely
: : in that theory!
: (以下引言省略 ... ...)

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