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# piecewise linear regression

On Programmer » Matlab

1,683 words with 1 Comments; publish: Tue, 06 May 2008 18:21:00 GMT; (20046.88, « »)

Hi all.

Can somebody please provide some example code or instructions on how

to perform piecewise linear (multiple) regression wih matlab (v. 6.5

or earlier). Thanks in advance.

K.K.

*http://matlab.todaysummary.com/q_matlab_45052.html*

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- 1 Comments
- In article <ef12b1a.-1.matlab.todaysummary.com.webx.raydaftYaTP>, K.K. <kgk.matlab.todaysummary.com.pharm.auth.gr>
wrote:

> Can somebody please provide some example code or instructions on how

> to perform piecewise linear (multiple) regression wih matlab (v. 6.5

> or earlier). Thanks in advance.

Piecewise linear multiple regression? Are you asking

for a tensor product linear regression spline in

n-dimensions? There are actually several patents in my

name on the process, at least as it applies to color

characterization modeling. They would describe the

process (not that any sane person would choose to read

a US patent. I've tried, look what its done to me.) I

think that Eastman Kodak still holds those patents for

several more years. They came out in the early 90s as

I remember. (A patent search should find them, although

one of them has my name misspelled as "E'Errico".)

You do realize that a tensor product linear function in

n-dimensions is not actually truly linear for n>=2?

If you truly want a truly linear piecewise function

in n-dimensions, you would need to build a regression

model over a tessellated domain. Done that too, but

I've never patented it. There are some interesting

problems to work through.

HTH,

John D'Errico

The best material model of a cat is another, or

preferably the same, cat.

A. Rosenblueth, Philosophy of Science, 1945

#1; Tue, 06 May 2008 18:23:00 GMT

- In article <ef12b1a.-1.matlab.todaysummary.com.webx.raydaftYaTP>, K.K. <kgk.matlab.todaysummary.com.pharm.auth.gr>