Statistical Learning with Kernel for Persistence Diagrams

Provides tools for exploiting topological information into standard statistical learning algorithms. To this aim, this package contains the most popular kernels defined on the space of persistence diagrams, and persistence images. Moreover, it provides a solver for kernel Support Vector Machines problems, whose kernels are not necessarily positive semidefinite, based on the C++ library 'LIBSVM' <>. Additionally, it allows to compute Wasserstein distance between persistence diagrams with an arbitrary ground metric, building an R interface for the C++ library 'HERA' <>.


Reference manual

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1.0.0 by Tullia Padellini, 6 months ago

Browse source code at

Authors: Tullia Padellini [aut, cre] , Francesco Palini [aut] , Pierpaolo Brutti [ctb] , Chih-Chung Chang [ctb, cph] (LIBSVM C++ code) , Chih-Chen Lin [ctb, cph] (LIBSVM C++ code) , Michael Kerber [ctb, cph] (HERA C++ code) , Dmitriy Morozov [ctb, cph] (HERA C++ code) , Arnur Nigmetov [ctb, cph] (HERA C++ code)

Documentation:   PDF Manual  

GPL-3 license

Imports Rcpp, mvtnorm, Rdpack, methods, stats

Suggests TDA, knitr, rmarkdown, SparseM, Matrix, kernlab, viridis

Linking to Rcpp, RcppEigen, BH

See at CRAN