@inproceedings{frosini:hal-01677132, TITLE = {{Some Remarks on the Algebraic Properties of Group Invariant Operators in Persistent Homology}}, AUTHOR = {Frosini, Patrizio and Quercioli, Nicola}, URL = {https://inria.hal.science/hal-01677132}, NOTE = {Part 1: MAKE Topology}, BOOKTITLE = {{1st International Cross-Domain Conference for Machine Learning and Knowledge Extraction (CD-MAKE)}}, ADDRESS = {Reggio, Italy}, EDITOR = {Andreas Holzinger and Peter Kieseberg and A Min Tjoa and Edgar Weippl}, PUBLISHER = {{Springer International Publishing}}, SERIES = {Machine Learning and Knowledge Extraction}, VOLUME = {LNCS-10410}, PAGES = {14-24}, YEAR = {2017}, MONTH = Aug, DOI = {10.1007/978-3-319-66808-6\_2}, KEYWORDS = {Natural pseudo-distance ; Filtering function ; Group action ; Group invariant non-expansive operator ; Persistent homology group ; Topological data analysis}, PDF = {https://inria.hal.science/hal-01677132/file/456304_1_En_2_Chapter.pdf}, HAL_ID = {hal-01677132}, HAL_VERSION = {v1}, }