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We study the problem of privately computing the anonymized histogram (a.k.a. unattributed histogram), which is defined as the histogram without item labels. Previous works have provided algorithms with $\ell_1$- and $\ell_2^2$-errors of…

Data Structures and Algorithms · Computer Science 2022-10-28 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi

We consider the problem of estimating sparse discrete distributions under local differential privacy (LDP) and communication constraints. We characterize the sample complexity for sparse estimation under LDP constraints up to a constant…

Information Theory · Computer Science 2021-02-22 Jayadev Acharya , Peter Kairouz , Yuhan Liu , Ziteng Sun

Local differential privacy is a promising privacy-preserving model for statistical aggregation of user data that prevents user privacy leakage from the data aggregator. This paper focuses on the problem of estimating the distribution of…

Cryptography and Security · Computer Science 2021-02-26 Ba Dung Le , Tanveer Zia

We present differentially private (DP) algorithms for bilevel optimization, a problem class that received significant attention lately in various machine learning applications. These are the first algorithms for such problems under standard…

Machine Learning · Computer Science 2026-01-15 Guy Kornowski

Item mining, a fundamental task for collecting statistical data from users, has raised increasing privacy concerns. To address these concerns, local differential privacy (LDP) was proposed as a privacy-preserving technique. Existing LDP…

Cryptography and Security · Computer Science 2025-04-21 Yulian Mao , Qingqing Ye , Rong Du , Qi Wang , Kai Huang , Haibo Hu

Local differential privacy (LDP) has become a prominent notion for privacy-preserving data collection. While numerous LDP protocols and post-processing (PP) methods have been developed, selecting an optimal combination under different…

Cryptography and Security · Computer Science 2025-07-09 Berkay Kemal Balioglu , Alireza Khodaie , Mehmet Emre Gursoy

Differential privacy (DP) and local differential privacy (LPD) are frameworks to protect sensitive information in data collections. They are both based on obfuscation. In DP the noise is added to the result of queries on the dataset,…

Cryptography and Security · Computer Science 2019-07-01 Natasha Fernandes , Kacem Lefki , Catuscia Palamidessi

Local Differential Privacy (LDP) is now widely adopted in large-scale systems to collect and analyze sensitive data while preserving users' privacy. However, almost all LDP protocols rely on a semi-trust model where users are…

Cryptography and Security · Computer Science 2023-03-21 Rong Du , Qingqing Ye , Yue Fu , Haibo Hu , Jin Li , Chengfang Fang , Jie Shi

The distributed nature of local differential privacy (LDP) invites data poisoning attacks and poses unforeseen threats to the underlying LDP-supported applications. In this paper, we propose a comprehensive mitigation framework for popular…

Cryptography and Security · Computer Science 2025-06-18 Xiaolin Li , Ninghui Li , Boyang Wang , Wenhai Sun

In this paper, we investigate one of the most fundamental nonconvex learning problems, ReLU regression, in the Differential Privacy (DP) model. Previous studies on private ReLU regression heavily rely on stringent assumptions, such as…

Machine Learning · Computer Science 2025-06-11 Meng Ding , Mingxi Lei , Shaowei Wang , Tianhang Zheng , Di Wang , Jinhui Xu

This work examines a novel question: how much randomness is needed to achieve local differential privacy (LDP)? A motivating scenario is providing {\em multiple levels of privacy} to multiple analysts, either for distribution or for…

Cryptography and Security · Computer Science 2020-05-26 Antonious M. Girgis , Deepesh Data , Kamalika Chaudhuri , Christina Fragouli , Suhas Diggavi

This paper establishes the strict optimality in precision for frequency and distribution estimation under local differential privacy (LDP). We prove that a linear estimator with a symmetric and extremal configuration, and a constant support…

Information Theory · Computer Science 2026-03-24 Mingen Pan

For a dataset of label-count pairs, an anonymized histogram is the multiset of counts. Anonymized histograms appear in various potentially sensitive contexts such as password-frequency lists, degree distribution in social networks, and…

Machine Learning · Computer Science 2020-01-15 Ananda Theertha Suresh

Machine learning (ML) models have been shown to leak private information from their training datasets. Differential Privacy (DP), typically implemented through the differential private stochastic gradient descent algorithm (DP-SGD), has…

Machine Learning · Computer Science 2025-02-17 Dariush Wahdany , Matthew Jagielski , Adam Dziedzic , Franziska Boenisch

To quantify trade-offs between increasing demand for open data sharing and concerns about sensitive information disclosure, statistical data privacy (SDP) methodology analyzes data release mechanisms which sanitize outputs based on…

Cryptography and Security · Computer Science 2022-05-09 Aleksandra Slavkovic , Jeremy Seeman

We consider the setting of publishing data without leaking sensitive information. We do so in the framework of Robust Local Differential Privacy (RLDP). This ensures privacy for all distributions of the data in an uncertainty set. We…

Information Theory · Computer Science 2022-05-11 Jasper Goseling , Milan Lopuhaä-Zwakenberg

Local differential privacy (LDP), a technique applying unbiased statistical estimations instead of real data, is often adopted in data collection. In particular, this technique is used with frequency oracles (FO) because it can protect each…

Cryptography and Security · Computer Science 2022-03-29 Dan Zhao , Suyun Zhao , Ruixuan Liu , Cuiping Li , Wenjuan Liang , Hong Chen

We investigate practical and scalable algorithms for training large language models (LLMs) with user-level differential privacy (DP) in order to provably safeguard all the examples contributed by each user. We study two variants of DP-SGD…

Machine Learning · Computer Science 2024-07-11 Zachary Charles , Arun Ganesh , Ryan McKenna , H. Brendan McMahan , Nicole Mitchell , Krishna Pillutla , Keith Rush

Most works in learning with differential privacy (DP) have focused on the setting where each user has a single sample. In this work, we consider the setting where each user holds $m$ samples and the privacy protection is enforced at the…

Machine Learning · Computer Science 2021-12-28 Badih Ghazi , Ravi Kumar , Pasin Manurangsi

Local differential privacy is a differential privacy paradigm in which individuals first apply a privacy mechanism to their data (often by adding noise) before transmitting the result to a curator. The noise for privacy results in…

Methodology · Statistics 2023-10-17 Yuki Ohnishi , Jordan Awan