no code implementations • 31 Jan 2023 • Aleksandar Nikolov, Haohua Tang
We investigate unbiased high-dimensional mean estimators in differential privacy.
no code implementations • 26 Oct 2022 • Alexander Edmonds, Aleksandar Nikolov, Toniann Pitassi
We study two basic statistical tasks in non-interactive local differential privacy (LDP): learning and refutation.
no code implementations • 15 Aug 2022 • Aleksandar Nikolov
We introduce a new method for releasing answers to statistical queries with differential privacy, based on the Johnson-Lindenstrauss lemma.
no code implementations • ICML 2020 • Raef Bassily, Albert Cheu, Shay Moran, Aleksandar Nikolov, Jonathan Ullman, Zhiwei Steven Wu
In comparison, with only private samples, this problem cannot be solved even for simple query classes with VC-dimension one, and without any private samples, a larger public sample of size $d/\alpha^2$ is needed.
no code implementations • 16 Apr 2020 • Vivek Madan, Aleksandar Nikolov, Mohit Singh, Uthaipon Tantipongpipat
Our main result is a new approximation algorithm with an approximation guarantee that depends only on the dimension $d$ of the vectors and not on the size $k$ of the output set.
no code implementations • 21 Feb 2020 • Sivakanth Gopi, Gautam Kamath, Janardhan Kulkarni, Aleksandar Nikolov, Zhiwei Steven Wu, Huanyu Zhang
Absent privacy constraints, this problem requires $O(\log k)$ samples from $p$, and it was recently shown that the same complexity is achievable under (central) differential privacy.
no code implementations • 19 Nov 2019 • Alexander Edmonds, Aleksandar Nikolov, Jonathan Ullman
We give new characterizations of the sample complexity of answering linear queries (statistical queries) in the local and central models of differential privacy: *In the non-interactive local model, we give the first approximate characterization of the sample complexity.
no code implementations • 22 Feb 2018 • Aleksandar Nikolov, Mohit Singh, Uthaipon Tao Tantipongpipat
Our main result is to obtain improved approximation algorithms for the $A$-optimal design problem by introducing the proportional volume sampling algorithm.
no code implementations • 18 Nov 2016 • Alexandr Andoni, Huy L. Nguyen, Aleksandar Nikolov, Ilya Razenshteyn, Erik Waingarten
We show that every symmetric normed space admits an efficient nearest neighbor search data structure with doubly-logarithmic approximation.