Welcome to giotto’s API reference!¶
giotto.homology: Persistent homology¶
The module giotto.homology implements transformers
to modify metric spaces or generate persistence diagrams.
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Persistence diagrams resulting from Vietoris-Rips filtrations. |
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Rescaling of distances between pairs of points by the geometric mean of the distances to the respective \(k\)-th nearest neighbours. |
giotto.diagrams: Persistence diagrams¶
The module giotto.diagrams implements transformers to
preprocess persistence diagrams or extract features from them.
Replaces all homology dimensions in persistence diagrams with |
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Linear scaling of persistence diagrams. |
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Filtering of persistence diagrams. |
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Distances between pairs of persistence diagrams, constructed from the distances between their respective subdiagrams with constant homology dimension. |
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Amplitudes of persistence diagrams, constructed from the amplitudes of their subdiagrams with constant homology dimension. |
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Persistence entropies of persistence diagrams. |
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Persistence landscapes of persistence diagrams. |
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Betti curves of persistence diagrams. |
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Convolution of persistence diagrams with a Gaussian kernel. |
giotto.time_series: Time series¶
The module giotto.time_series implements transformers to
preprocess time series or embed them in a higher dimensional space for
persistent homology.
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Time series resampling at regular intervals. |
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Methods for stationarizing time series data. |
Representation of a univariate time series as a time series of point clouds. |
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Sliding windows onto the data. |
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Entropies from sets of permutations arg-sorting rows in arrays. |
Pearson dissimilarities from collections of multivariate time series. |
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Target creation from sliding windows over a time series. |
giotto.graphs: Graphs¶
The module giotto.graphs implements transformers to create graphs or
extract metric spaces from graphs.
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Undirected transition graphs from arrays of time-evolving states. |
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Adjacency matrices of k-nearest neighbor graphs. |
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Distance matrices arising from geodesic distances on graphs. |
giotto.base: Base¶
Implements a TransformerResamplerMixin for transformers that have a resample method.
Mixin class for all transformers-resamplers in giotto-learn. |
giotto.pipeline: Pipeline¶
The module giotto.pipeline extends scikit-learn’s module by defining
Pipelines that include TransformerResamplers.
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Pipeline of transforms and resamples with a final estimator. |
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Construct a Pipeline from the given estimators. |
giotto.meta_transformers: Convenience pipelines¶
The module giotto.meta_transformers implements convenience
giotto.pipeline.Pipeline transformers for direct topological feature
generation.
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Persistence entropies directly from point clouds. |
Meta transformer returning Betti curves directly from point clouds. |
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Meta transformer returning persistence landscapes directly from point clouds. |
giotto.utils: Validation¶
The module giotto.utils implements hyperparameter and input
validation functions.
Input validation on a diagram |
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