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Estimation of permutation entropy (PE) using Bayesian statistical methods is presented for systems where the ordinal pattern sampling follows an independent, multinomial distribution. It is demonstrated that the PE posterior distribution is…

Data Analysis, Statistics and Probability · Physics 2022-02-09 Douglas J. Little , Joshua P. Toomey , Deb M. Kane

Differentially private synthetic data enables the sharing and analysis of sensitive datasets while providing rigorous privacy guarantees for individual contributors. A central challenge is to achieve strong utility guarantees for meaningful…

Statistics Theory · Mathematics 2026-02-06 Rundong Ding , Yiyun He , Yizhe Zhu

Programmatically generating tight differential privacy (DP) bounds is a hard problem. Two core challenges are (1) finding expressive, compact, and efficient encodings of the distributions of DP algorithms, and (2) state space explosion…

Cryptography and Security · Computer Science 2024-10-02 Lisa Oakley , Steven Holtzen , Alina Oprea

We present a novel approach for differentially private data synthesis of protected tabular datasets, a relevant task in highly sensitive domains such as healthcare and government. Current state-of-the-art methods predominantly use…

Machine Learning · Computer Science 2024-07-30 Konstantin Donhauser , Javier Abad , Neha Hulkund , Fanny Yang

A key problem in a variety of applications is that of domain adaptation from a public source domain, for which a relatively large amount of labeled data with no privacy constraints is at one's disposal, to a private target domain, for which…

Machine Learning · Computer Science 2022-08-15 Raef Bassily , Mehryar Mohri , Ananda Theertha Suresh

Differential privacy (DP) provides robust privacy guarantees for statistical inference, but this can lead to unreliable results and biases in downstream applications. While several noise-aware approaches have been proposed which integrate…

Machine Learning · Statistics 2026-05-29 Talal Alrawajfeh , Joonas Jälkö , Antti Honkela

The increased application of machine learning (ML) in sensitive domains requires protecting the training data through privacy frameworks, such as differential privacy (DP). DP requires to specify a uniform privacy level $\varepsilon$ that…

Machine Learning · Computer Science 2024-01-31 Krishna Acharya , Franziska Boenisch , Rakshit Naidu , Juba Ziani

Most of privacy protection studies for textual data focus on removing explicit sensitive identifiers. However, personal writing style, as a strong indicator of the authorship, is often neglected. Recent studies, such as SynTF, have shown…

Cryptography and Security · Computer Science 2021-05-14 Haohan Bo , Steven H. H. Ding , Benjamin C. M. Fung , Farkhund Iqbal

Despite several works that succeed in generating synthetic data with differential privacy (DP) guarantees, they are inadequate for generating high-quality synthetic data when the input data has missing values. In this work, we formalize the…

Databases · Computer Science 2025-11-06 Shubhankar Mohapatra , Jianqiao Zong , Florian Kerschbaum , Xi He

Differentially private stochastic gradient descent (DP-SGD) is the workhorse algorithm for recent advances in private deep learning. It provides a single privacy guarantee to all datapoints in the dataset. We propose output-specific…

Machine Learning · Computer Science 2024-07-26 Da Yu , Gautam Kamath , Janardhan Kulkarni , Tie-Yan Liu , Jian Yin , Huishuai Zhang

Synthetic data generation is gaining traction as a privacy enhancing technology (PET). When properly generated, synthetic data preserve the analytic utility of real data while avoiding the retention of information that would allow the…

As large language models (LLMs) are increasingly trained on sensitive user data, understanding the fundamental cost of privacy in language learning becomes essential. We initiate the study of differentially private (DP) language…

Machine Learning · Computer Science 2026-04-09 Xiaoyu Li , Andi Han , Jiaojiao Jiang , Junbin Gao

We propose an efficient $\epsilon$-differentially private algorithm, that given a simple {\em weighted} $n$-vertex, $m$-edge graph $G$ with a \emph{maximum unweighted} degree $\Delta(G) \leq n-1$, outputs a synthetic graph which…

Data Structures and Algorithms · Computer Science 2023-10-02 Jingcheng Liu , Jalaj Upadhyay , Zongrui Zou

The problem of estimating a parameter in the drift coefficient is addressed for $N$ discretely observed independent and identically distributed stochastic differential equations (SDEs). This is done considering additional constraints,…

Statistics Theory · Mathematics 2024-10-17 Chiara Amorino , Arnaud Gloter , Hélène Halconruy

Federated learning (FL) is getting increased attention for processing sensitive, distributed datasets common to domains such as healthcare. Instead of directly training classification models on these datasets, recent works have considered…

Machine Learning · Computer Science 2022-11-22 Bjarne Pfitzner , Bert Arnrich

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 propose and study a new privacy definition, termed Probably Approximately Correct (PAC) Privacy. PAC Privacy characterizes the information-theoretic hardness to recover sensitive data given arbitrary information disclosure/leakage…

Cryptography and Security · Computer Science 2023-06-21 Hanshen Xiao , Srinivas Devadas

Spacecraft Pose Estimation (SPE) is a fundamental capability for autonomous space operations such as rendezvous, docking, and in-orbit servicing. Hybrid pipelines that combine object detection, keypoint regression, and Perspective-n-Point…

Computer Vision and Pattern Recognition · Computer Science 2025-09-18 Inder Pal Singh , Nidhal Eddine Chenni , Abd El Rahman Shabayek , Arunkumar Rathinam , Djamila Aouada

Privacy concerns have led to a surge in the creation of synthetic datasets, with diffusion models emerging as a promising avenue. Although prior studies have performed empirical evaluations on these models, there has been a gap in providing…

Machine Learning · Computer Science 2024-06-04 Rongzhe Wei , Eleonora Kreačić , Haoyu Wang , Haoteng Yin , Eli Chien , Vamsi K. Potluru , Pan Li

Differentially private (DP) synthetic data generation plays a pivotal role in developing large language models (LLMs) on private data, where data owners cannot provide eyes-on access to individual examples. Generating DP synthetic data…