no code implementations • 18 Jul 2023 • Monika Henzinger, Jalaj Upadhyay, Sarvagya Upadhyay
We give a constructive proof for an almost exact upper bound on the $\gamma_2$ and $\gamma_F$ norm and an almost tight lower bound on the $\gamma_2$ norm for a large class of lower-triangular matrices.
no code implementations • 9 Nov 2022 • Monika Henzinger, Jalaj Upadhyay, Sarvagya Upadhyay
Our lower bound for any continual counting mechanism is the first tight lower bound on continual counting under approximate differential privacy.
no code implementations • 6 Sep 2020 • Jalaj Upadhyay, Sarvagya Upadhyay
We give first efficient $o(W)$ space differentially private algorithms for spectral approximation, principal component analysis, and linear regression.