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COPYRIGHT\n\nCopyright 2023 The Regents of the University of California\n\nImplemented by Eugene Shvarts\n\n## SETUP\n\n`MultiscaleSimplexSignalTransforms` is not yet in the `General` registry, so either add via the `Tetrapods` registry\n\n```\n] registry add https://github.com/UCD4IDS/TetrapodsRegistry\n] add MultiscaleSimplexSignalTransforms\n```\n\nor add manually by URL\n\n```\n] add https://github.com/UCD4IDS/MultiscaleSimplexSignalTransforms.jl\n```\n\n## USAGE\n\n- At top level are the graph basis dictionaries `kGHWT` and `kHGLET`, implementing the abstract type `MSST`, or `MultiscaleSimplicialTransform`.\n- These dictionaries themselves rely on a method of partitioning simplicial complexes, which implements the abstract type `SCPartition`.\nThe implementations are `SubmatrixPartition` (the default), and `FullPartition`.\n- Each possesses an array of configuration options, `Representation`, `SubRepresentation`, `Basis`, `PartitionInput`, `PartitionMethod`, `EigenMethod`, which are extensible and allow for configurable, stackable, and repeatable experiments.\n- The fundamental adjacency data structures are `ZeroRegion` and `KRegion`, which implement the abstract type `Region`, and the fundamental spectral representation for these is `k_laplacian`.\n- The structure of a simplicial complex is stored in a `SimplexTree`, and generally speaking, when a function takes a `SimplexTree`, it will happily accept some `g::AbstractGraph` instead by passing in `cliquecomplex(g, k)` for an appropriate `k`.\n\nIf you have some `g::AbstractGraph`, then the easiest way to get started with analyzing, say, signals on the triangles of `g` with all defaults set is to construct the basis dictionary `basis = kGHWT(KRegion(g, 2))`. Then you can investigate the dictionary vector at level `j`, location `k`, tag `l` with ordinary indexing (i.e., `basis[j,k,l]`), and you can obtain a dictionary of expansion coefficients for some triangle signal `s` with `analyze(basis, s)`.\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fucd4ids%2Fmultiscalesimplexsignaltransforms.jl","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fucd4ids%2Fmultiscalesimplexsignaltransforms.jl","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fucd4ids%2Fmultiscalesimplexsignaltransforms.jl/lists"}