no code implementations • 1 Mar 2021 • Raef Bassily, Cristóbal Guzmán, Anupama Nandi
For $2 < p \leq \infty$, we show that existing linear-time constructions for the Euclidean setup attain a nearly optimal excess risk in the low-dimensional regime.
no code implementations • NeurIPS 2020 • Raef Bassily, Shay Moran, Anupama Nandi
Inspired by the above example, we consider a model in which the population $\mathcal{D}$ is a mixture of two sub-populations: a private sub-population $\mathcal{D}_{\sf priv}$ of private and sensitive data, and a public sub-population $\mathcal{D}_{\sf pub}$ of data with no privacy concerns.
no code implementations • 31 Jul 2019 • Anupama Nandi, Raef Bassily
We formally study this problem in the agnostic PAC model and derive a new upper bound on the private sample complexity.
no code implementations • 22 Feb 2017 • Joseph Anderson, Navin Goyal, Anupama Nandi, Luis Rademacher
Like the current state-of-the-art, the new algorithm is based on the centroid body (a first moment analogue of the covariance matrix).
no code implementations • 2 Sep 2015 • Joseph Anderson, Navin Goyal, Anupama Nandi, Luis Rademacher
Independent component analysis (ICA) is the problem of efficiently recovering a matrix $A \in \mathbb{R}^{n\times n}$ from i. i. d.