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What is the most common approximation algorithm for sine function which can be implemented with self-organizing maps algorithm? I was thinking of least-squares approximation but I can't find a description of it for sine(or any trigonometrical) function.

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Are you looking at real or complex arguments? $\sin x, x \in \mathbb{R}, \mathbb{C}$? –  john mangual Sep 27 '12 at 13:59
    
john, only real –  Sergey Sep 27 '12 at 14:01
    
Can you just sample the sine function at evenly space points and get something piecewise-linear? Then your SOM has to approach this collection of lines. –  john mangual Sep 27 '12 at 14:03

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