Search Results for author: Jalaj Upadhyay

Found 9 papers, 1 papers with code

Differentially Private Decentralized Learning with Random Walks

1 code implementation12 Feb 2024 Edwige Cyffers, Aurélien Bellet, Jalaj Upadhyay

The popularity of federated learning comes from the possibility of better scalability and the ability for participants to keep control of their data, improving data security and sovereignty.

Federated Learning

A Unifying Framework for Differentially Private Sums under Continual Observation

no code implementations18 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.

Almost Tight Error Bounds on Differentially Private Continual Counting

no code implementations9 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.

Federated Learning

Differentially Private Sampling from Rashomon Sets, and the Universality of Langevin Diffusion for Convex Optimization

no code implementations4 Apr 2022 Arun Ganesh, Abhradeep Thakurta, Jalaj Upadhyay

In this paper we provide an algorithmic framework based on Langevin diffusion (LD) and its corresponding discretizations that allow us to simultaneously obtain: i) An algorithm for sampling from the exponential mechanism, whose privacy analysis does not depend on convexity and which can be stopped at anytime without compromising privacy, and ii) tight uniform stability guarantees for the exponential mechanism.

Fairness

Constant matters: Fine-grained Complexity of Differentially Private Continual Observation

no code implementations23 Feb 2022 Hendrik Fichtenberger, Monika Henzinger, Jalaj Upadhyay

Finally, we note that our result can be used to get a fine-grained error bound for non-interactive local learning {and the first lower bounds on the additive error for $(\epsilon,\delta)$-differentially-private counting under continual observation.}

A Framework for Private Matrix Analysis

no code implementations6 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.

Differentially Private Robust Low-Rank Approximation

no code implementations NeurIPS 2018 Raman Arora, Vladimir Braverman, Jalaj Upadhyay

In this paper, we study the following robust low-rank matrix approximation problem: given a matrix $A \in \R^{n \times d}$, find a rank-$k$ matrix $B$, while satisfying differential privacy, such that $ \norm{ A - B }_p \leq \alpha \mathsf{OPT}_k(A) + \tau,$ where $\norm{ M }_p$ is the entry-wise $\ell_p$-norm and $\mathsf{OPT}_k(A):=\min_{\mathsf{rank}(X) \leq k} \norm{ A - X}_p$.

The Price of Privacy for Low-rank Factorization

no code implementations NeurIPS 2018 Jalaj Upadhyay

Even though these settings are well studied without privacy, surprisingly, there are no private algorithm for these settings (except when a matrix is updated row by row).

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