@InProceedings{hu_et_al:LIPIcs.ITCS.2023.72, author = {Hu, Lunjia and Peale, Charlotte}, title = {{Comparative Learning: A Sample Complexity Theory for Two Hypothesis Classes}}, booktitle = {14th Innovations in Theoretical Computer Science Conference (ITCS 2023)}, pages = {72:1--72:30}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-263-1}, ISSN = {1868-8969}, year = {2023}, volume = {251}, editor = {Tauman Kalai, Yael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2023.72}, URN = {urn:nbn:de:0030-drops-175752}, doi = {10.4230/LIPIcs.ITCS.2023.72}, annote = {Keywords: Comparative learning, mutual VC dimension, realizable multiaccuracy and multicalibration, sample complexity} }