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We study the problem of estimating mixtures of Gaussians under the constraint of differential privacy (DP). Our main result is that $\text{poly}(k,d,1/\alpha,1/\varepsilon,\log(1/\delta))$ samples are sufficient to estimate a mixture of $k$…

Machine Learning · Statistics 2024-04-24 Mohammad Afzali , Hassan Ashtiani , Christopher Liaw

Individual privacy accounting enables bounding differential privacy (DP) loss individually for each participant involved in the analysis. This can be informative as often the individual privacy losses are considerably smaller than those…

Cryptography and Security · Computer Science 2023-08-25 Antti Koskela , Marlon Tobaben , Antti Honkela

This paper presents a novel approach to classical linear regression, enabling model computation from data streams or in a distributed setting while preserving data privacy in federated environments. We extend this framework to generalized…

Computation · Statistics 2026-05-29 Daniel Tinoco , Raquel Menezes , Carlos Baquero

We study Gaussian mechanism in the shuffle model of differential privacy (DP). Particularly, we characterize the mechanism's R\'enyi differential privacy (RDP), showing that it is of the form: $$ \epsilon(\lambda) \leq…

Cryptography and Security · Computer Science 2023-07-05 Seng Pei Liew , Tsubasa Takahashi

We investigate the privacy of {\em any} algorithm whose outputs have Gaussian distribution. This work is motivated by the prevalence of such algorithms in several useful (ML) applications, and the comparatively little research that focuses…

Cryptography and Security · Computer Science 2026-05-19 Yu Wei , Yun Lu , Malik Magdon-Ismail , Vassilis Zikas

We define On-Average KL-Privacy and present its properties and connections to differential privacy, generalization and information-theoretic quantities including max-information and mutual information. The new definition significantly…

Machine Learning · Statistics 2016-05-10 Yu-Xiang Wang , Jing Lei , Stephen E. Fienberg

Alternating Direction Method of Multipliers (ADMM) is a widely used tool for machine learning in distributed settings, where a machine learning model is trained over distributed data sources through an interactive process of local…

Machine Learning · Computer Science 2020-05-19 Zonghao Huang , Rui Hu , Yuanxiong Guo , Eric Chan-Tin , Yanmin Gong

In this brief, we present an enhanced privacy-preserving distributed estimation algorithm, referred to as the ``Double-Private Algorithm," which combines the principles of both differential privacy (DP) and cryptography. The proposed…

Signal Processing · Electrical Eng. & Systems 2024-03-19 Mehdi Korki , Fatemehsadat Hosseiniamin , Hadi Zayyani , Mehdi Bekrani

We study mean estimation for Gaussian distributions under \textit{personalized differential privacy} (PDP), where each record has its own privacy budget. PDP is commonly considered in two variants: \textit{bounded} and \textit{unbounded}…

Data Structures and Algorithms · Computer Science 2026-01-23 Wei Dong , Li Ge

Federated learning is distributed model training across several clients without disclosing raw data. Despite advancements in data privacy, risks still remain. Differential Privacy (DP) is a technique to protect sensitive data by adding…

Machine Learning · Computer Science 2025-10-14 Tejash Varsani

Distance Metric Learning (DML) has drawn much attention over the last two decades. A number of previous works have shown that it performs well in measuring the similarities of individuals given a set of correctly labeled pairwise data by…

Machine Learning · Computer Science 2020-03-31 Jing Li , Yuangang Pan , Yulei Sui , Ivor W. Tsang

We lay theoretical foundations for new database release mechanisms that allow third-parties to construct consistent estimators of population statistics, while ensuring that the privacy of each individual contributing to the database is…

Machine Learning · Statistics 2018-06-01 Matej Balog , Ilya Tolstikhin , Bernhard Schölkopf

Applying machine learning (ML) to sensitive domains requires privacy protection of the underlying training data through formal privacy frameworks, such as differential privacy (DP). Yet, usually, the privacy of the training data comes at…

Machine Learning · Computer Science 2022-11-09 Franziska Boenisch , Christopher Mühl , Roy Rinberg , Jannis Ihrig , Adam Dziedzic

In differential privacy (DP), the generalized private testing problem was introduced by Liu and Talwar (STOC 2019). Given a dataset $X \in \mathcal{X}$ and a sequence of black-box $\varepsilon_t$-DP mechanisms $M_t:\mathcal{X}\to\{+1,-1\}$,…

Data Structures and Algorithms · Computer Science 2026-05-22 Anamay Chaturvedi , Monika Henzinger , Jalaj Upadhyay

Recommendation systems rely heavily on users behavioural and preferential data (e.g. ratings, likes) to produce accurate recommendations. However, users experience privacy concerns due to unethical data aggregation and analytical practices…

Machine Learning · Computer Science 2021-03-09 Jeyamohan Neera , Xiaomin Chen , Nauman Aslam , Kezhi Wang , Zhan Shu

Koufogiannis et al. (2016) showed a $\textit{gradual release}$ result for Laplace noise-based differentially private mechanisms: given an $\varepsilon$-DP release, a new release with privacy parameter $\varepsilon' > \varepsilon$ can be…

Cryptography and Security · Computer Science 2025-05-29 Joel Daniel Andersson , Lukas Retschmeier , Boel Nelson , Rasmus Pagh

We present a novel method for accurately auditing the differential privacy (DP) guarantees of DP mechanisms. In particular, our solution is applicable to auditing DP guarantees of machine learning (ML) models. Previous auditing methods…

Machine Learning · Computer Science 2026-01-14 Antti Koskela , Jafar Mohammadi

Large language models (LLMs) have emerged as powerful tools for tackling complex tasks across diverse domains, but they also raise privacy concerns when fine-tuned on sensitive data due to potential memorization. While differential privacy…

Computation and Language · Computer Science 2024-08-19 Lynn Chua , Badih Ghazi , Yangsibo Huang , Pritish Kamath , Ravi Kumar , Daogao Liu , Pasin Manurangsi , Amer Sinha , Chiyuan Zhang

Differentially private (DP) release of multidimensional statistics typically considers an aggregate sensitivity, e.g. the vector norm of a high-dimensional vector. However, different dimensions of that vector might have widely different…

Machine Learning · Statistics 2022-10-31 Joonas Jälkö , Lukas Prediger , Antti Honkela , Samuel Kaski

Concern about how to aggregate sensitive user data without compromising individual privacy is a major barrier to greater availability of data. The model of differential privacy has emerged as an accepted model to release sensitive…

Databases · Computer Science 2017-10-03 Graham Cormode , Tejas Kulkarni , Divesh Srivastava