Sampling from Distributions under Differential Privacy Notions
Published in UC San Diego (eScholarship), 2020
Recommended citation: Geumlek, J. D. (2020). Sampling from Distributions under Differential Privacy Notions. UC San Diego. ProQuest ID: Geumlek_ucsd_0033D_19410. Merritt ID: ark:/13030/m5p03hfr. Retrieved from https://escholarship.org/uc/item/1dt1m5v1 https://escholarship.org/uc/item/1dt1m5v1
This is my doctoral thesis, synthesizing all of my work completed during my PhD program at UCSD. It explores privacy notions for releasing samples and various methods for achieving them, ranging from privatizing sufficient statistics, changing the posterior update rule, combining soruces of uncertainty through the framework of diffusions, and hiding generating distributions through a convex optimization task.