@InProceedings{carriere_et_al:LIPIcs.SoCG.2019.21, author = {Carri\`{e}re, Mathieu and Bauer, Ulrich}, title = {{On the Metric Distortion of Embedding Persistence Diagrams into Separable Hilbert Spaces}}, booktitle = {35th International Symposium on Computational Geometry (SoCG 2019)}, pages = {21:1--21:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-104-7}, ISSN = {1868-8969}, year = {2019}, volume = {129}, editor = {Barequet, Gill and Wang, Yusu}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2019.21}, URN = {urn:nbn:de:0030-drops-104259}, doi = {10.4230/LIPIcs.SoCG.2019.21}, annote = {Keywords: Topological Data Analysis, Persistence Diagrams, Hilbert space embedding} }