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We study the Gaussian Process regression model in the context of training data with noise in both input and output. The presence of two sources of noise makes the task of learning accurate predictive models extremely challenging. However,…

Machine Learning · Statistics 2015-07-03 Cuong Tran , Vladimir Pavlovic , Robert Kopp

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

The Gaussian mechanism is an essential building block used in multitude of differentially private data analysis algorithms. In this paper we revisit the Gaussian mechanism and show that the original analysis has several important…

Machine Learning · Computer Science 2018-06-08 Borja Balle , Yu-Xiang Wang

Differential privacy (DP) is a prominent method for protecting information about individuals during data analysis. Training neural networks with differentially private stochastic gradient descent (DPSGD) influences the model's learning…

Machine Learning · Computer Science 2025-10-10 Lea Demelius , Dominik Kowald , Simone Kopeinik , Roman Kern , Andreas Trügler

We propose PACE-GGM, a data-adaptive differentially private method for covariance estimation that concentrates its privacy budget on the most informative entries of the empirical covariance matrix, rather than perturbing all entries. This…

Machine Learning · Computer Science 2026-05-26 Cecilia Ferrando , Miguel Fuentes , Brett Mullins , Cameron Musco , Daniel Sheldon

We construct a universally Bayes consistent learning rule that satisfies differential privacy (DP). We first handle the setting of binary classification and then extend our rule to the more general setting of density estimation (with…

Machine Learning · Computer Science 2022-12-09 Olivier Bousquet , Haim Kaplan , Aryeh Kontorovich , Yishay Mansour , Shay Moran , Menachem Sadigurschi , Uri Stemmer

The privacy concerns associated with the use of Large Language Models (LLMs) have grown recently with the development of LLMs such as ChatGPT. Differential Privacy (DP) techniques are explored in existing work to mitigate their privacy…

Artificial Intelligence · Computer Science 2024-03-08 Tiejin Chen , Longchao Da , Huixue Zhou , Pingzhi Li , Kaixiong Zhou , Tianlong Chen , Hua Wei

We propose a novel and systematic differentially private (DP) inference framework for non-Euclidean data. First, we design two types of DP mechanisms for the Fr\'echet mean and variance with i.i.d. Riemannian manifold-valued data, tailored…

Methodology · Statistics 2026-05-15 Yangdi Jiang , Xiaotian Chang , Qirui Hu

Differential privacy is a privacy measure based on the difficulty of discriminating between similar input data. In differential privacy analysis, similar data usually implies that their distance does not exceed a predetermined threshold.…

Optimization and Control · Mathematics 2021-06-25 Genki Sugiura , Kaito Ito , Kenji Kashima

Leveraging information from public data has become increasingly crucial in enhancing the utility of differentially private (DP) methods. Traditional DP approaches often require adding noise based solely on private data, which can…

Machine Learning · Computer Science 2025-08-26 Zilong Cao , Hai Zhang

Data integration and sharing maximally enhance the potential for novel and meaningful discoveries. However, it is a non-trivial task as integrating data from multiple sources can put sensitive information of study participants at risk. To…

Cryptography and Security · Computer Science 2020-05-25 Yeongjae Gil , Xiaoqian Jiang , Miran Kim , Junghye Lee

We consider the problem of secret protection, in which a business or organization wishes to train a model on their own data, while attempting to not leak secrets potentially contained in that data via the model. The standard method for…

Cryptography and Security · Computer Science 2025-06-03 Arun Ganesh , Brendan McMahan , Milad Nasr , Thomas Steinke , Abhradeep Thakurta

Local differential privacy (LDP) can provide each user with strong privacy guarantees under untrusted data curators while ensuring accurate statistics derived from privatized data. Due to its powerfulness, LDP has been widely adopted to…

Cryptography and Security · Computer Science 2019-06-06 Teng Wang , Jun Zhao , Xinyu Yang , Xuebin Ren

We investigate the problem of learning discrete, undirected graphical models in a differentially private way. We show that the approach of releasing noisy sufficient statistics using the Laplace mechanism achieves a good trade-off between…

Machine Learning · Computer Science 2017-06-16 Garrett Bernstein , Ryan McKenna , Tao Sun , Daniel Sheldon , Michael Hay , Gerome Miklau

Non-interactive Local Differential Privacy (LDP) requires data analysts to collect data from users through noisy channel at once. In this paper, we extend the frontiers of Non-interactive LDP learning and estimation from several aspects.…

Machine Learning · Computer Science 2017-06-13 Kai Zheng , Wenlong Mou , Liwei Wang

Data privacy has increasingly become a daunting challenge because it limits data availability, which is essential in estimating statistical models such as generalized linear mixed models. Access to personal data often involves considerable…

Methodology · Statistics 2026-05-05 Marie Analiz April Limpoco , Christel Faes , Niel Hens

As increasing amounts of sensitive personal information is aggregated into data repositories, it has become important to develop mechanisms for processing the data without revealing information about individual data instances. The…

Machine Learning · Statistics 2015-03-17 Manas A. Pathak , Bhiksha Raj

Generalized linear models (GLMs) using a regression procedure to fit relationships between predictor and target variables are widely used in automobile insurance data. Here, in the process of ratemaking and in order to compute the premiums…

Applications · Statistics 2016-06-02 J. M. Pérez-Sánchez , E. Gómez-Déniz

We consider three different variants of differential privacy (DP), namely approximate DP, R\'enyi DP (RDP), and hypothesis test DP. In the first part, we develop a machinery for optimally relating approximate DP to RDP based on the joint…

Information Theory · Computer Science 2021-01-26 Shahab Asoodeh , Jiachun Liao , Flavio P. Calmon , Oliver Kosut , Lalitha Sankar

How can agents exchange information to learn while protecting privacy? Healthcare centers collaborating on clinical trials must balance knowledge sharing with safeguarding sensitive patient data. We address this challenge by using…

Machine Learning · Computer Science 2025-03-19 Marios Papachristou , M. Amin Rahimian
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