Hi,
Le 16/11/2020 à 10:26, Dang Ngoc Chan, Christophe a écrit :
Hello,
De : users De la part de Stéphane Mottelet
Envoyé : lundi 16 novembre 2020 09:56
It is possible to fit a more general piecewise-affine model,
but you will have to know in advance the number of "kinks"
Well, I think it is possible to automatically adjust the number of segments:
1. Perform the regression with only n = 1 line segment.
2. Increase the number of segments by 1, n = n + 1.
Perform a new regression.
You can detect the furthest point to know where to separate the segments.
3. Compare the quadratic errors between the current and the preceding
regression.
If the difference is small enough then end
That's the more difficult part. Considering the provided data, which
will never fit well this kind of model, the quadratic error will
decrease quite regularly. If the real concern is about finding the
points with maximum curvature, a non parametric model should be more
adequate (Local regression, Kernel regression, splines, or wathever).
S.
else go back to 2.
Regards
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Christophe Dang Ngoc Chan
Mechanical calculation engineer
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Stéphane Mottelet
Ingénieur de recherche
EA 4297 Transformations Intégrées de la Matière Renouvelable
Département Génie des Procédés Industriels
Sorbonne Universités - Université de Technologie de Compiègne
CS 60319, 60203 Compiègne cedex
Tel : +33(0)344234688
http://www.utc.fr/~mottelet
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