no code implementations • 16 Feb 2024 • Mark Bun, Aloni Cohen, Rathin Desai
We continue the study of the computational complexity of differentially private PAC learning and how it is situated within the foundations of machine learning.
no code implementations • 13 Feb 2024 • Adam Block, Mark Bun, Rathin Desai, Abhishek Shetty, Steven Wu
Due to statistical lower bounds on the learnability of many function classes under privacy constraints, there has been recent interest in leveraging public data to improve the performance of private learning algorithms.
no code implementations • 17 Jun 2020 • Arnab Bhattacharyya, Rathin Desai, Sai Ganesh Nagarajan, Ioannis Panageas
We show that ${\mu}$ and ${\Sigma}$ can be estimated with error $\epsilon$ in the Frobenius norm, using $\tilde{O}\left(\frac{\textrm{nz}({\Sigma}^{-1})}{\epsilon^2}\right)$ samples from a truncated $\mathcal{N}({\mu},{\Sigma})$ and having access to a membership oracle for $S$.
no code implementations • 10 Jul 2019 • Rathin Desai, Amit Sharma
We show that many popular methods, including back-door methods can be considered as weighting or representation learning algorithms, and provide general error bounds for their causal estimates.