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We present \textsf{ModularSubsetSelection} (MSS), a new algorithm for locally differentially private (LDP) frequency estimation. Given a universe of size $k$ and $n$ users, our $\varepsilon$-LDP mechanism encodes each input via a Residue…

Cryptography and Security · Computer Science 2025-11-18 Héber H. Arcolezi

Local differential privacy (LDP) has recently become a popular privacy-preserving data collection technique protecting users' privacy. The main problem of data stream collection under LDP is the poor utility due to multi-item collection…

Cryptography and Security · Computer Science 2023-06-22 Ying Li , Xiaodong Lee , Botao Peng , Themis Palpanas , Jingan Xue

We consider the problems of distribution estimation and heavy hitter (frequency) estimation under privacy and communication constraints. While these constraints have been studied separately, optimal schemes for one are sub-optimal for the…

Information Theory · Computer Science 2019-05-29 Jayadev Acharya , Ziteng Sun

This paper investigates the problem of collecting multidimensional data throughout time (i.e., longitudinal studies) for the fundamental task of frequency estimation under Local Differential Privacy (LDP) guarantees. Contrary to frequency…

Cryptography and Security · Computer Science 2022-07-19 Héber H. Arcolezi , Jean-François Couchot , Bechara Al Bouna , Xiaokui Xiao

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 (LDP) has been widely recognized as a powerful tool for providing a strong theoretical guarantee of data privacy to data contributors against an untrusted data collector. Under a typical LDP scheme, each data…

Cryptography and Security · Computer Science 2025-06-17 Ye Zheng , Shafizur Rahman Seeam , Yidan Hu , Rui Zhang , Yanchao Zhang

We study the problem of estimating $k$-ary distributions under $\varepsilon$-local differential privacy. $n$ samples are distributed across users who send privatized versions of their sample to a central server. All previously known sample…

Machine Learning · Computer Science 2018-06-29 Jayadev Acharya , Ziteng Sun , Huanyu Zhang

We propose a reparametrization scheme to address the challenges of applying differentially private SGD on large neural networks, which are 1) the huge memory cost of storing individual gradients, 2) the added noise suffering notorious…

Machine Learning · Computer Science 2021-11-05 Da Yu , Huishuai Zhang , Wei Chen , Jian Yin , Tie-Yan Liu

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

Differentially Private-SGD (DP-SGD) of Abadi et al. (2016) and its variations are the only known algorithms for private training of large scale neural networks. This algorithm requires computation of per-sample gradients norms which is…

Machine Learning · Computer Science 2021-02-08 Zhiqi Bu , Sivakanth Gopi , Janardhan Kulkarni , Yin Tat Lee , Judy Hanwen Shen , Uthaipon Tantipongpipat

Density-adaptive domain discretization is essential for high-utility privacy-preserving analytics but remains challenging under Local Differential Privacy (LDP) due to the privacy-budget costs associated with iterative refinement. We…

Machine Learning · Computer Science 2026-02-24 Alexey Kroshnin , Alexandra Suvorikova

Protocols satisfying Local Differential Privacy (LDP) enable parties to collect aggregate information about a population while protecting each user's privacy, without relying on a trusted third party. LDP protocols (such as Google's RAPPOR)…

Cryptography and Security · Computer Science 2017-05-16 Tianhao Wang , Jeremiah Blocki , Ninghui Li , Somesh Jha

Longitudinal data tracking under Local Differential Privacy (LDP) is a challenging task. Baseline solutions that repeatedly invoke a protocol designed for one-time computation lead to linear decay in the privacy or utility guarantee with…

Cryptography and Security · Computer Science 2022-04-12 Olga Ohrimenko , Anthony Wirth , Hao Wu

In the recent years, Local Differential Privacy (LDP) has been one of the corner stone of privacy preserving data analysis. However, many challenges still opposes its widespread application. One of these problems is the scalability of LDP…

Cryptography and Security · Computer Science 2022-06-15 Thomas Carette

The private collection of multiple statistics from a population is a fundamental statistical problem. One possible approach to realize this is to rely on the local model of differential privacy (LDP). Numerous LDP protocols have been…

Cryptography and Security · Computer Science 2023-08-02 Héber H. Arcolezi , Sébastien Gambs , Jean-François Couchot , Catuscia Palamidessi

Sketches are widely used for frequency estimation of data with a large domain. However, sketches-based frequency estimation faces more challenges when considering privacy. Local differential privacy (LDP) is a solution to frequency…

Cryptography and Security · Computer Science 2022-11-22 Meifan Zhang , Sixin Lin , Lihua Yin

We give a fast algorithm to optimally compose privacy guarantees of differentially private (DP) algorithms to arbitrary accuracy. Our method is based on the notion of privacy loss random variables to quantify the privacy loss of DP…

Data Structures and Algorithms · Computer Science 2021-10-27 Sivakanth Gopi , Yin Tat Lee , Lukas Wutschitz

In this paper, we revisit the problem of sparse linear regression in the local differential privacy (LDP) model. Existing research in the non-interactive and sequentially local models has focused on obtaining the lower bounds for the case…

Machine Learning · Computer Science 2023-10-12 Liyang Zhu , Meng Ding , Vaneet Aggarwal , Jinhui Xu , Di Wang

Locally Differentially Private (LDP) Reports are commonly used for collection of statistics and machine learning in the federated setting. In many cases the best known LDP algorithms require sending prohibitively large messages from the…

Cryptography and Security · Computer Science 2021-02-25 Vitaly Feldman , Kunal Talwar

Large-scale data collection, from national censuses to IoT-enabled smart homes, routinely gathers dozens of attributes per individual. These multi-attribute datasets are crucial for analytics but pose significant privacy risks. Local…

Cryptography and Security · Computer Science 2025-12-17 Shafizur Rahman Seeam , Ye Zheng , Yidan Hu
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