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Model personalization allows a set of individuals, each facing a different learning task, to train models that are more accurate for each person than those they could develop individually. The goals of personalization are captured in a…

Machine Learning · Computer Science 2024-12-18 Maryam Aliakbarpour , Konstantina Bairaktari , Adam Smith , Marika Swanberg , Jonathan Ullman

We present a new locally differentially private algorithm for the heavy hitters problem which achieves optimal worst-case error as a function of all standardly considered parameters. Prior work obtained error rates which depend optimally on…

Data Structures and Algorithms · Computer Science 2017-11-15 Mark Bun , Jelani Nelson , Uri Stemmer

A number of learning models used in consequential domains, such as to assist in legal, banking, hiring, and healthcare decisions, make use of potentially sensitive users' information to carry out inference. Further, the complete set of…

Machine Learning · Computer Science 2023-02-02 Cuong Tran , Ferdinando Fioretto

In this paper, we consider the $k$-approximate pattern matching problem under differential privacy, where the goal is to report or count all substrings of a given string $S$ which have a Hamming distance at most $k$ to a pattern $P$, or…

Data Structures and Algorithms · Computer Science 2023-11-14 Teresa Anna Steiner

We investigate the problems of identity and closeness testing over a discrete population from random samples. Our goal is to develop efficient testers while guaranteeing Differential Privacy to the individuals of the population. We describe…

Machine Learning · Computer Science 2017-07-19 Maryam Aliakbarpour , Ilias Diakonikolas , Ronitt Rubinfeld

Supervised learning models have been increasingly used for making decisions about individuals in applications such as hiring, lending, and college admission. These models may inherit pre-existing biases from training datasets and…

Machine Learning · Computer Science 2020-12-08 Mohammad Mahdi Khalili , Xueru Zhang , Mahed Abroshan , Somayeh Sojoudi

We study the computational cost of differential privacy in terms of memory efficiency. While the trade-off between accuracy and differential privacy is well-understood, the inherent cost of privacy regarding memory use remains largely…

Cryptography and Security · Computer Science 2026-02-13 Alessandro Epasto , Xin Lyu , Pasin Manurangsi

We develop differentially private hypothesis testing methods for the small sample regime. Given a sample $\cal D$ from a categorical distribution $p$ over some domain $\Sigma$, an explicitly described distribution $q$ over $\Sigma$, some…

Data Structures and Algorithms · Computer Science 2017-06-08 Bryan Cai , Constantinos Daskalakis , Gautam Kamath

Differentially private stochastic gradient descent privatizes model training by injecting noise into each iteration, where the noise magnitude increases with the number of model parameters. Recent works suggest that we can reduce the noise…

Machine Learning · Statistics 2025-07-25 Xin Gu , Gautam Kamath , Zhiwei Steven Wu

In this work, we introduce a novel framework for privately optimizing objectives that rely on Wasserstein distances between data-dependent empirical measures. Our main theoretical contribution is, based on an explicit formulation of the…

Machine Learning · Computer Science 2025-05-22 David Rodríguez-Vítores , Clément Lalanne , Jean-Michel Loubes

We give new upper and lower bounds on the minimax sample complexity of differentially private mean estimation of distributions with bounded $k$-th moments. Roughly speaking, in the univariate case, we show that $n =…

Data Structures and Algorithms · Computer Science 2021-02-17 Gautam Kamath , Vikrant Singhal , Jonathan Ullman

Practical and pervasive needs for robustness and privacy in algorithms have inspired the design of online adversarial and differentially private learning algorithms. The primary quantity that characterizes learnability in these settings is…

Machine Learning · Computer Science 2020-06-19 Nika Haghtalab , Tim Roughgarden , Abhishek Shetty

Differential privacy is the state-of-the-art definition for privacy, guaranteeing that any analysis performed on a sensitive dataset leaks no information about the individuals whose data are contained therein. In this thesis, we develop…

Machine Learning · Computer Science 2023-11-29 Vassilis Digalakis

In this paper we consider learning in passive setting but with a slight modification. We assume that the target expected loss, also referred to as target risk, is provided in advance for learner as prior knowledge. Unlike most studies in…

Machine Learning · Computer Science 2013-05-21 Mehrdad Mahdavi , Rong Jin

We show that every approximately differentially private learning algorithm (possibly improper) for a class $H$ with Littlestone dimension~$d$ requires $\Omega\bigl(\log^*(d)\bigr)$ examples. As a corollary it follows that the class of…

Machine Learning · Computer Science 2019-03-11 Noga Alon , Roi Livni , Maryanthe Malliaris , Shay Moran

With changes in privacy laws, there is often a hard requirement for client data to remain on the device rather than being sent to the server. Therefore, most processing happens on the device, and only an altered element is sent to the…

Cryptography and Security · Computer Science 2022-12-27 Ajinkya K Mulay

Differential Privacy (DP) is an important privacy-enhancing technology for private machine learning systems. It allows to measure and bound the risk associated with an individual participation in a computation. However, it was recently…

Machine Learning · Computer Science 2022-09-09 Cuong Tran , My H. Dinh , Ferdinando Fioretto

This work provides tight upper- and lower-bounds for the problem of mean estimation under $\epsilon$-differential privacy in the local model, when the input is composed of $n$ i.i.d. drawn samples from a normal distribution with variance…

Data Structures and Algorithms · Computer Science 2019-04-12 Marco Gaboardi , Ryan Rogers , Or Sheffet

We develop differentially private methods for estimating various distributional properties. Given a sample from a discrete distribution $p$, some functional $f$, and accuracy and privacy parameters $\alpha$ and $\varepsilon$, the goal is to…

Data Structures and Algorithms · Computer Science 2018-03-02 Jayadev Acharya , Gautam Kamath , Ziteng Sun , Huanyu Zhang

We revisit the problem of finding a minimum enclosing ball with differential privacy: Given a set of $n$ points in the Euclidean space $\mathbb{R}^d$ and an integer $t\leq n$, the goal is to find a ball of the smallest radius $r_{opt}$…

Data Structures and Algorithms · Computer Science 2017-07-18 Kobbi Nissim , Uri Stemmer