Multidimensional Persistence Module Classification via Lattice-Theoretic Convolutions
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classification
math.AT
cs.LGeess.SP
keywords
persistenceclassificationconvolutionsmodulesmultidimensionalmultiparameteralgorithmsalternative
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Multiparameter persistent homology has been largely neglected as an input to machine learning algorithms. We consider the use of lattice-based convolutional neural network layers as a tool for the analysis of features arising from multiparameter persistence modules. We find that these show promise as an alternative to convolutions for the classification of multidimensional persistence modules.
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