Combining Inductive and Analytical Learning

- $X$ are images of single handwritten characters.
- Task is to correctly classify these characters.
- B is "the target function is invariant to small rotations of the character in the image". How do we express this mathematically?
- Define a transformation $s(\alpha, x)$ which rotates $x$ by $\alpha$ degrees. Then say \[ \frac{\partial f(s(\alpha,x_i))}{\partial \alpha} = 0 \] Then incorporate these into the error function. How?

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