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two-parameter persistent (co)homology


The program 2pac computes a minimal free resolution of 2-parameter persistent cohomology and homology of function-Vietoris-Rips complexes of a finite metric space, and of other, user-defined two-parameter (co)chain complexes. Computation of minimal free resolutions is performed either directly, analogous to mpfree, or via a cohomological algorithm that in many cases gives a noticeable speedup. The data can be optionally preprocessed using the chunk algorithm and/or (strong) filtration domination.


complex/rips custom/boundary-matrix custom/distance custom/filtration lang/c++ lang/cli lang/python type/multiparameter type/persistence