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[ENH] Implement K-Shape clusterer #2676

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Reference Issues/PRs

Fix #2661

What does this implement/fix? Explain your changes.

Implements the K-shape clutterer in Aeon instead of wrapping the tslearn clusterer

Implentation References:

  1. https://github.com/tslearn-team/tslearn/blob/9937946/tslearn/clustering/kshape.py#L21-L291
  2. https://github.com/TheDatumOrg/kshape-python

Does your contribution introduce a new dependency? If yes, which one?

Currently this implementation uses tslearn's cdist_normalized_cc and normalized_cc.
But this is because the sbd_distance implementation we have slightly differs from tslearns implementation
see #2674

Any other comments?

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@aeon-actions-bot aeon-actions-bot bot added clustering Clustering package enhancement New feature, improvement request or other non-bug code enhancement labels Mar 22, 2025
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Thank you for contributing to aeon

I have added the following labels to this PR based on the title: [ $\color{#FEF1BE}{\textsf{enhancement}}$ ].
I have added the following labels to this PR based on the changes made: [ $\color{#4011F3}{\textsf{clustering}}$ ]. Feel free to change these if they do not properly represent the PR.

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[ENH] Implement K-Shape clusterer
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