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Related papers: Privately Estimating Black-Box Statistics

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We present new methods for assessing the privacy guarantees of an algorithm with regard to R\'enyi Differential Privacy. To the best of our knowledge, this work is the first to address this problem in a black-box scenario, where only…

Cryptography and Security · Computer Science 2022-12-12 Tim Kutta , Önder Askin , Martin Dunsche

Integer data is typically made differentially private by adding noise from a Discrete Laplace (or Discrete Gaussian) distribution. We study the setting where differential privacy of a counting query is achieved using bit-wise randomized…

Information Theory · Computer Science 2023-11-17 David Rasmussen Lolck , Rasmus Pagh

Differential privacy is a recent notion of privacy for statistical databases that provides rigorous, meaningful confidentiality guarantees, even in the presence of an attacker with access to arbitrary side information. We show that for a…

Cryptography and Security · Computer Science 2008-09-30 Adam Smith

We consider the setting where a user with sensitive features wishes to obtain a recommendation from a server in a differentially private fashion. We propose a ``multi-selection'' architecture where the server can send back multiple…

Data Structures and Algorithms · Computer Science 2024-07-23 Ashish Goel , Zhihao Jiang , Aleksandra Korolova , Kamesh Munagala , Sahasrajit Sarmasarkar

This work studies the estimation of many statistical quantiles under differential privacy. More precisely, given a distribution and access to i.i.d. samples from it, we study the estimation of the inverse of its cumulative distribution…

Machine Learning · Statistics 2023-12-27 Clément Lalanne , Aurélien Garivier , Rémi Gribonval

We provide optimal lower bounds for two well-known parameter estimation (also known as statistical estimation) tasks in high dimensions with approximate differential privacy. First, we prove that for any $\alpha \le O(1)$, estimating the…

Statistics Theory · Mathematics 2024-01-05 Shyam Narayanan

Probabilistic numerics casts numerical tasks, such the numerical solution of differential equations, as inference problems to be solved. One approach is to model the unknown quantity of interest as a random variable, and to constrain this…

Numerical Analysis · Mathematics 2021-10-29 Onur Teymur , Christopher N. Foley , Philip G. Breen , Toni Karvonen , Chris. J. Oates

This work proposes an algorithmic method to verify differential privacy for estimation mechanisms with performance guarantees. Differential privacy makes it hard to distinguish outputs of a mechanism produced by adjacent inputs. While…

Systems and Control · Electrical Eng. & Systems 2021-12-03 Yunhai Han , Sonia Martínez

This paper presents a differentially private approach to Kaplan-Meier estimation that achieves accurate survival probability estimates while safeguarding individual privacy. The Kaplan-Meier estimator is widely used in survival analysis to…

Cryptography and Security · Computer Science 2024-12-09 Narasimha Raghavan Veeraragavan , Sai Praneeth Karimireddy , Jan Franz Nygård

Survival function estimation is used in many disciplines, but it is most common in medical analytics in the form of the Kaplan-Meier estimator. Sensitive data (patient records) is used in the estimation without any explicit control on the…

Machine Learning · Computer Science 2020-01-16 Lovedeep Gondara , Ke Wang

Due to statistical lower bounds on the learnability of many function classes under privacy constraints, there has been recent interest in leveraging public data to improve the performance of private learning algorithms. In this model,…

Machine Learning · Statistics 2024-02-16 Adam Block , Mark Bun , Rathin Desai , Abhishek Shetty , Steven Wu

Differentially private computation often begins with a bound on some $d$-dimensional statistic's $\ell_p$ sensitivity. For pure differential privacy, the $K$-norm mechanism can improve on this approach using a norm tailored to the…

Cryptography and Security · Computer Science 2024-05-22 Matthew Joseph , Alexander Yu

We study the privacy risks that are associated with training a neural network's weights with self-supervised learning algorithms. Through empirical evidence, we show that the fine-tuning stage, in which the network weights are updated with…

Machine Learning · Computer Science 2022-05-26 Yunhao Yang , Parham Gohari , Ufuk Topcu

We propose a general optimization-based framework for computing differentially private M-estimators and a new method for constructing differentially private confidence regions. Firstly, we show that robust statistics can be used in…

Statistics Theory · Mathematics 2023-12-14 Marco Avella-Medina , Casey Bradshaw , Po-Ling Loh

This paper considers the private release of statistics of disjoint subsets of a dataset, in the setting of data heterogeneity, where users could contribute more than one sample, with different users contributing potentially different…

Cryptography and Security · Computer Science 2025-03-26 V. Arvind Rameshwar , Anshoo Tandon

We provide a new algorithmic framework for differentially private estimation of general functions that adapts to the hardness of the underlying dataset. We build upon previous work that gives a paradigm for selecting an output through the…

Data Structures and Algorithms · Computer Science 2023-11-28 David Durfee

Traditional approaches to differential privacy assume a fixed privacy requirement $\epsilon$ for a computation, and attempt to maximize the accuracy of the computation subject to the privacy constraint. As differential privacy is…

Machine Learning · Computer Science 2017-06-01 Katrina Ligett , Seth Neel , Aaron Roth , Bo Waggoner , Z. Steven Wu

We characterize the minimum noise amplitude and power for noise-adding mechanisms in $(\epsilon, \delta)$-differential privacy for single real-valued query function. We derive new lower bounds using the duality of linear programming, and…

Cryptography and Security · Computer Science 2019-02-06 Quan Geng , Wei Ding , Ruiqi Guo , Sanjiv Kumar

We study differentially private mean estimation in a high-dimensional setting. Existing differential privacy techniques applied to large dimensions lead to computationally intractable problems or estimators with excessive privacy loss.…

Machine Learning · Computer Science 2020-07-23 Aditya Dhar , Jason Huang

We provide tools for sharing sensitive data when the data curator does not know in advance what questions an (untrusted) analyst might ask about the data. The analyst can specify a program that they want the curator to run on the dataset.…

Data Structures and Algorithms · Computer Science 2025-04-25 Ephraim Linder , Sofya Raskhodnikova , Adam Smith , Thomas Steinke