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yaser · #2 04-23-2013, 08:59 AM

Quote:

Originally Posted by heeler

On question 10 I found it hard to visualise how the pattern changed until I realised I could conformally map the problem given into one of the examples. This left me wondering if this is generally true for learning models.

I used the $r = \sqrt{x_1^2 + x_2^2}$ to transform the problem from $\mathbb{R}^2$ to $\mathbb{R}$ .

It seems like the connection is there but I wanted to ask in case I was leading myself astray.

This is true here because the circles are concentric. In general, it may not be possible to reduce the learning model to an equivalent one-dimensional version.