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Related papers: Near Instance-Optimality in Differential Privacy

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A scheme that publishes aggregate information about sensitive data must resolve the trade-off between utility to information consumers and privacy of the database participants. Differential privacy is a well-established definition of…

Cryptography and Security · Computer Science 2010-01-18 Mangesh Gupte , Mukund Sundararajan

We show a new lower bound on the sample complexity of $(\varepsilon, \delta)$-differentially private algorithms that accurately answer statistical queries on high-dimensional databases. The novelty of our bound is that it depends optimally…

Data Structures and Algorithms · Computer Science 2015-01-27 Thomas Steinke , Jonathan Ullman

We introduce derivative sensitivity, an analogue to local sensitivity for continuous functions. We use this notion in an analysis that determines the amount of noise to be added to the result of a database query in order to obtain a certain…

Cryptography and Security · Computer Science 2018-11-16 Peeter Laud , Alisa Pankova , Martin Pettai

Previous work on user-level differential privacy (DP) [Ghazi et al. NeurIPS 2021, Bun et al. STOC 2023] obtained generic algorithms that work for various learning tasks. However, their focus was on the example-rich regime, where the users…

Data Structures and Algorithms · Computer Science 2023-09-25 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Raghu Meka , Chiyuan Zhang

Although robust learning and local differential privacy are both widely studied fields of research, combining the two settings is just starting to be explored. We consider the problem of estimating a discrete distribution in total variation…

Statistics Theory · Mathematics 2022-04-21 Julien Chhor , Flore Sentenac

Differentially-private mechanisms for text generation typically add carefully calibrated noise to input words and use the nearest neighbor to the noised input as the output word. When the noise is small in magnitude, these mechanisms are…

Computation and Language · Computer Science 2021-04-27 Zekun Xu , Abhinav Aggarwal , Oluwaseyi Feyisetan , Nathanael Teissier

Local Differential Privacy (LDP) addresses significant privacy concerns in sensitive data collection. In this work, we focus on numerical data collection under LDP, targeting a significant gap in the literature: existing LDP mechanisms are…

Cryptography and Security · Computer Science 2025-10-14 Incheol Baek , Yon Dohn Chung

A basic problem in the design of privacy-preserving algorithms is the private maximization problem: the goal is to pick an item from a universe that (approximately) maximizes a data-dependent function, all under the constraint of…

Machine Learning · Computer Science 2014-09-09 Kamalika Chaudhuri , Daniel Hsu , Shuang Song

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

Consider a data publishing setting for a dataset composed by both private and non-private features. The publisher uses an empirical distribution, estimated from $n$ i.i.d. samples, to design a privacy mechanism which is applied to new fresh…

Information Theory · Computer Science 2020-03-23 Mario Diaz , Hao Wang , Flavio P. Calmon , Lalitha Sankar

Perhaps the single most important use case for differential privacy is to privately answer numerical queries, which is usually achieved by adding noise to the answer vector. The central question, therefore, is to understand which noise…

Machine Learning · Statistics 2021-03-17 Jinshuo Dong , Weijie J. Su , Linjun Zhang

Real-time data-driven optimization and control problems over networks may require sensitive information of participating users to calculate solutions and decision variables, such as in traffic or energy systems. Adversaries with access to…

Optimization and Control · Mathematics 2020-05-25 Roel Dobbe , Ye Pu , Jingge Zhu , Kannan Ramchandran , Claire Tomlin

Differential Privacy (DP) is a family of definitions that bound the worst-case privacy leakage of a mechanism. One important feature of the worst-case DP guarantee is it naturally implies protections against adversaries with less prior…

Cryptography and Security · Computer Science 2025-07-14 Marika Swanberg , Meenatchi Sundaram Muthu Selva Annamalai , Jamie Hayes , Borja Balle , Adam Smith

The sensitivity metric in differential privacy, which is informally defined as the largest marginal change in output between neighboring databases, is of substantial significance in determining the accuracy of private data analyses.…

Data Structures and Algorithms · Computer Science 2019-01-24 Rachel Cummings , David Durfee

Differential privacy is a notion of privacy that has become very popular in the database community. Roughly, the idea is that a randomized query mechanism provides sufficient privacy protection if the ratio between the probabilities that…

Cryptography and Security · Computer Science 2014-06-18 Mário S. Alvim , Miguel E. Andrés , Konstantinos Chatzikokolakis , Pierpaolo Degano , Catuscia Palamidessi

We study the classical problem of community recovery in stochastic block models with a fixed number of communities, with a twist: We seek algorithms that are stable with respect to node-wise changes in the graph structure, formally defined…

Statistics Theory · Mathematics 2026-05-18 Laurentiu Marchis , Ethan D'souza , Tomáš Flídr , Po-Ling Loh

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 statistical estimation under local differential privacy (LDP) when users may hold heterogeneous privacy levels and accuracy must be guaranteed with high probability. Departing from the common in-expectation analyses, and for…

Machine Learning · Statistics 2025-10-15 Maryam Aliakbarpour , Alireza Fallah , Swaha Roy , Ria Stevens

Designing privacy-preserving machine learning algorithms has received great attention in recent years, especially in the setting when the data contains sensitive information. Differential privacy (DP) is a widely used mechanism for data…

Machine Learning · Computer Science 2025-09-11 Chunyang Liao , Deanna Needell , Hayden Schaeffer , Alexander Xue

We consider a setup in which confidential i.i.d. samples $X_1,\dotsc,X_n$ from an unknown finite-support distribution $\boldsymbol{p}$ are passed through $n$ copies of a discrete privatization channel (a.k.a. mechanism) producing outputs…

Machine Learning · Computer Science 2018-11-30 Adriano Pastore , Michael Gastpar
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