@InProceedings{nikolov_et_al:LIPIcs.ITCS.2024.85, author = {Nikolov, Aleksandar and Tang, Haohua}, title = {{General Gaussian Noise Mechanisms and Their Optimality for Unbiased Mean Estimation}}, booktitle = {15th Innovations in Theoretical Computer Science Conference (ITCS 2024)}, pages = {85:1--85:23}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-309-6}, ISSN = {1868-8969}, year = {2024}, volume = {287}, editor = {Guruswami, Venkatesan}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2024.85}, URN = {urn:nbn:de:0030-drops-196133}, doi = {10.4230/LIPIcs.ITCS.2024.85}, annote = {Keywords: differential privacy, mean estimation, unbiased estimator, instance optimality} }