On Differential Privacy and Adaptive Data Analysis with Bounded Space

ePrint Report: On Differential Privacy and Adaptive Data Analysis with Bounded Space

Itai Dinur, Uri Stemmer, David P. Woodruff, Samson Zhou

We study the space complexity of the two related fields of differential privacy and adaptive data analysis. Specifically,
(1) Under standard cryptographic assumptions, we show that there exists a problem $P$ that requires exponentially more space to be solved efficiently with differential privacy, compared to the space needed without privacy. To the best of our knowledge, this is the …

analysis complexity data data analysis differential privacy eprint report privacy problem report samson space standard study under uri