@InProceedings{cazals_et_al:LIPIcs.SEA.2021.15, author = {Cazals, Fr\'{e}d\'{e}ric and Delmas, Bernard and O'Donnell, Timothee}, title = {{Fr\'{e}chet Mean and p-Mean on the Unit Circle: Decidability, Algorithm, and Applications to Clustering on the Flat Torus}}, booktitle = {19th International Symposium on Experimental Algorithms (SEA 2021)}, pages = {15:1--15:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-185-6}, ISSN = {1868-8969}, year = {2021}, volume = {190}, editor = {Coudert, David and Natale, Emanuele}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SEA.2021.15}, URN = {urn:nbn:de:0030-drops-137870}, doi = {10.4230/LIPIcs.SEA.2021.15}, annote = {Keywords: Frech\'{e}t mean, p-mean, circular statistics, decidability, robustness, multi-precision, angular spaces, flat torus, clustering, molecular conformations} }