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A particularly challenging problem in AI safety is providing guarantees on the behavior of high-dimensional autonomous systems. Verification approaches centered around reachability analysis fail to scale, and purely statistical approaches…

Artificial Intelligence · Computer Science 2025-03-11 Souradeep Dutta , Michele Caprio , Vivian Lin , Matthew Cleaveland , Kuk Jin Jang , Ivan Ruchkin , Oleg Sokolsky , Insup Lee

Background knowledge is an important factor in privacy preserving data publishing. Distribution-based background knowledge is one of the well studied background knowledge. However, to the best of our knowledge, there is no existing work…

Databases · Computer Science 2009-09-08 Raymond Chi-Wing Wong , Ada Wai-Chee Fu , Ke Wang , Yabo Xu , Jian Pei , Philip S. Yu

In this work, we propose differentially private methods for hypothesis testing, model averaging, and model selection for normal linear models. We consider Bayesian methods based on mixtures of $g$-priors and non-Bayesian methods based on…

Methodology · Statistics 2023-08-30 Víctor Peña , Andrés F. Barrientos

We systematically investigate the preservation of differential privacy in functional data analysis, beginning with functional mean estimation and extending to varying coefficient model estimation. Our work introduces a distributed learning…

Statistics Theory · Mathematics 2026-02-11 Gengyu Xue , Zhenhua Lin , Yi Yu

Hypothesis testing is a statistical inference framework for determining the true distribution among a set of possible distributions for a given dataset. Privacy restrictions may require the curator of the data or the respondents themselves…

Information Theory · Computer Science 2017-04-28 Jiachun Liao , Lalitha Sankar , Vincent Y. F. Tan , Flavio P. Calmon

We study the fundamental problem of estimating an unknown discrete distribution $p$ over $d$ symbols, given $n$ i.i.d. samples from the distribution. We are interested in minimizing the KL divergence between the true distribution and the…

Machine Learning · Statistics 2025-05-30 Jiayuan Ye , Vitaly Feldman , Kunal Talwar

Protecting individual privacy is essential across research domains, from socio-economic surveys to big-tech user data. This need is particularly acute in healthcare, where analyses often involve sensitive patient information. A typical…

Applications · Statistics 2026-04-09 Savita Pareek , Luca Insolia , Roberto Molinari , Stéphane Guerrier

Differentially private data generation techniques have become a promising solution to the data privacy challenge -- it enables sharing of data while complying with rigorous privacy guarantees, which is essential for scientific progress in…

Cryptography and Security · Computer Science 2022-11-09 Dingfan Chen , Raouf Kerkouche , Mario Fritz

Classifiers deployed in high-stakes real-world applications must output calibrated confidence scores, i.e. their predicted probabilities should reflect empirical frequencies. Recalibration algorithms can greatly improve a model's…

Machine Learning · Computer Science 2020-08-25 Rachel Luo , Shengjia Zhao , Jiaming Song , Jonathan Kuck , Stefano Ermon , Silvio Savarese

We study the sample complexity of learning threshold functions under the constraint of differential privacy. It is assumed that each labeled example in the training data is the information of one individual and we would like to come up with…

Data Structures and Algorithms · Computer Science 2019-11-25 Haim Kaplan , Katrina Ligett , Yishay Mansour , Moni Naor , Uri Stemmer

Emerging applications of sensor networks for detection sometimes suggest that classical problems ought be revisited under new assumptions. This is the case of binary hypothesis testing with independent - but not necessarily identically…

Information Theory · Computer Science 2019-03-27 Stefano Marano , Peter Willett

Differential privacy has emerged as the main definition for private data analysis and machine learning. The {\em global} model of differential privacy, which assumes that users trust the data collector, provides strong privacy guarantees…

Cryptography and Security · Computer Science 2019-10-29 Joshua Allen , Bolin Ding , Janardhan Kulkarni , Harsha Nori , Olga Ohrimenko , Sergey Yekhanin

Balancing privacy and accuracy is a major challenge in designing differentially private machine learning algorithms. One way to improve this tradeoff for free is to leverage the noise in common data operations that already use randomness.…

Machine Learning · Computer Science 2021-10-20 Jacob Imola , Kamalika Chaudhuri

Differential privacy (DP) has become the de facto standard for protecting sensitive data, providing strong guarantees that published statistics or models reveal limited information about any individual. However, privacy noise and restricted…

Databases · Computer Science 2026-05-25 Mariia Vologdin , Yuchao Tao , Amir Gilad

Differential privacy is a de facto standard in data privacy, with applications in the public and private sectors. A way to explain differential privacy, which is particularly appealing to statistician and social scientists is by means of…

Machine Learning · Computer Science 2023-08-28 Borja Balle , Gilles Barthe , Marco Gaboardi , Justin Hsu , Tetsuya Sato

We develop differentially private hypothesis testing methods for the small sample regime. Given a sample $\cal D$ from a categorical distribution $p$ over some domain $\Sigma$, an explicitly described distribution $q$ over $\Sigma$, some…

Data Structures and Algorithms · Computer Science 2017-06-08 Bryan Cai , Constantinos Daskalakis , Gautam Kamath

Recent years, local differential privacy (LDP) has been adopted by many web service providers like Google \cite{erlingsson2014rappor}, Apple \cite{apple2017privacy} and Microsoft \cite{bolin2017telemetry} to collect and analyse users' data…

Information Theory · Computer Science 2022-03-15 Zhongzheng Xiong , Jialin Sun , Xiaojun Mao , Jian Wang , Shan Ying , Zengfeng Huang

We present new algorithms for estimating and testing \emph{collision probability}, a fundamental measure of the spread of a discrete distribution that is widely used in many scientific fields. We describe an algorithm that satisfies…

Machine Learning · Statistics 2025-04-21 Robert Busa-Fekete , Umar Syed

Local differential privacy (LDP) has become a central topic in data privacy research, offering strong privacy guarantees by perturbing user data at the source and removing the need for a trusted curator. However, the noise introduced by LDP…

Machine Learning · Computer Science 2026-03-04 Caihong Qin , Yang Bai

Recent advancements in semi-supervised deep learning have introduced effective strategies for leveraging both labeled and unlabeled data to improve classification performance. This work proposes a semi-supervised framework that utilizes a…

Machine Learning · Computer Science 2025-05-21 Aydin Abedinia , Shima Tabakhi , Vahid Seydi