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pershout

This is somewhat of a catchall repository for various experiments over the years on outlier detection via persistent homology. This includes:

  • using a similarity metric between time series to evaluate a distance matrix for a data set and then constructing the 1-D topological skeleton using a minimal spanning tree from which outliers are the least connected data points
  • fitting Gaussian processes to time series and then evaluating the distance matrix for a data set using the Wasserstein metric and constructing the persistence diagram from this
  • constructing persistence diagrams for individual time series and then evaluating a distance matrix for a data set and determining outliers from this

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Outlier detection via persistent homology

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