[Attachment(s) from Aron Pipa included below]
hollow circles represent misclassified instances
Enjoy!
attached ( data and code )
With Newton's method you do not need to set a learning rate and the algorithm may convergence in a few iterations.
Calculations involve matrix inversion so there might not work in all the cases but when it does its awesome.
fitting a 3-d degree polynomial:
The decision boundary is drawn by hand, just to give an idea.
you can get the exact boundary by solving :
t0 + t1x + t2xy + t3y +
t4x2 + t5x2y + t6xy2 + t7y2 +
t8x3 + t9x3y + t10xy3 + t11y3 = 0
hollow circles represent misclassified instances
Enjoy!
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Posted by: Aron Pipa <aron@myafl.com>
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