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clustification: train/predict on approximated manifold instead of original space #48

@sreichl

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@sreichl
  • high dimensional UMAP/densMAP embedding (pro: non-linear; con: requires parameters)
  • PCA (pro: no parameters; con: linear)
  • Laplacian / spectral space (pro: more topologic; con: requires parameters and more steps)
    • VS: i.e. build your c-knn/densmap network, take the laplacian, then take the eigenvectors of the laplacian to represent the intrinsic topology/geometry of the manifold
    • VS: As I understand the 0 eigenvalued (first) eigenvectors give you anyway the connected components and then the next low frequency eigenvectors can start to give you more geometry.

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