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Suppose we have two handwritten images "3"MNIST three and "6"MNIST six. The task is to compute the tangent distance between the two. An explanation at undergraduate level is highly appreciated.

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    $\begingroup$ What do you know about the topic so far? Do you know the definition of tangent distance? $\endgroup$ – Matti P. Jan 22 at 10:38
  • $\begingroup$ Here is something about the topic : cedar.buffalo.edu/~srihari/CSE555/… $\endgroup$ – Matti P. Jan 22 at 10:41
  • $\begingroup$ great slides. thank you. Suppose, we consider only rotation. Then the tangent vector $TV$ correspondes to the difference between the image $x'$ (as colomn vector) rotated $\alpha$ degrees around the center and the unrotated image (also as column vector) i.e., \begin{equation} \mathrm{\boldsymbol{TV}} = \mathcal{F}(\boldsymbol{x}^\prime; \alpha) - \boldsymbol{x}' \end{equation} (see slide 38). Is this correct? Do I have to compute the tangent vector for any rotation angle $\alpha$ ? $\endgroup$ – Alexander K. Jan 22 at 15:09

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