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We investigate the differential privacy (DP) guarantees under the hidden state assumption (HSA) for multi-convex problems. Recent analyses of privacy loss under the hidden state assumption have relied on strong assumptions such as…

Machine Learning · Computer Science 2025-06-03 Ding Chen , Chen Liu

We study the problem of differentially private (DP) mechanisms for representing sets of size $k$ from a large universe. Our first construction creates $(\epsilon,\delta)$-DP representations with error probability of $1/(e^\epsilon + 1)$…

Cryptography and Security · Computer Science 2025-07-23 Sarvar Patel , Giuseppe Persiano , Joon Young Seo , Kevin Yeo

We study mechanisms for differential privacy on finite datasets. By deriving \emph{sufficient sets} for differential privacy we obtain necessary and sufficient conditions for differential privacy, a tight lower bound on the maximal expected…

Discrete Mathematics · Computer Science 2015-05-28 Naoise Holohan , Doug Leith , Oliver Mason

Auditing mechanisms for differential privacy use probabilistic means to empirically estimate the privacy level of an algorithm. For private machine learning, existing auditing mechanisms are tight: the empirical privacy estimate (nearly)…

Noisy marginals are a common form of confidentiality protecting data release and are useful for many downstream tasks such as contingency table analysis, construction of Bayesian networks, and even synthetic data generation. Privacy…

Databases · Computer Science 2026-04-06 Yingtai Xiao , Guanlin He , Levent Toksoz , Zeyu Ding , Danfeng Zhang , Daniel Kifer

In this paper, we study the problem of estimating the covariance matrix under differential privacy, where the underlying covariance matrix is assumed to be sparse and of high dimensions. We propose a new method, called DP-Thresholding, to…

Machine Learning · Computer Science 2019-04-17 Di Wang , Jinhui Xu

Clustering is an important tool for data exploration where the goal is to subdivide a data set into disjoint clusters that fit well into the underlying data structure. When dealing with sensitive data, privacy-preserving algorithms aim to…

Cryptography and Security · Computer Science 2024-08-21 Johannes Liebenow , Yara Schütt , Tanya Braun , Marcel Gehrke , Florian Thaeter , Esfandiar Mohammadi

We study efficient mechanisms for the query release problem in differential privacy: given a workload of $m$ statistical queries, output approximate answers to the queries while satisfying the constraints of differential privacy. In…

Data Structures and Algorithms · Computer Science 2018-11-12 Jaroslaw Blasiok , Mark Bun , Aleksandar Nikolov , Thomas Steinke

Tuning the hyperparameters of differentially private (DP) machine learning (ML) algorithms often requires use of sensitive data and this may leak private information via hyperparameter values. Recently, Papernot and Steinke (2022) proposed…

Machine Learning · Computer Science 2024-02-14 Antti Koskela , Tejas Kulkarni

Quantum computing offers unparalleled processing power but raises significant data privacy challenges. Quantum Differential Privacy (QDP) leverages inherent quantum noise to safeguard privacy, surpassing traditional DP. This paper develops…

Quantum Physics · Physics 2025-01-16 Baobao Song , Shiva Raj Pokhrel , Athanasios V. Vasilakos , Tianqing Zhu , Gang Li

Recent large-scale natural language processing (NLP) systems use a pre-trained Large Language Model (LLM) on massive and diverse corpora as a headstart. In practice, the pre-trained model is adapted to a wide array of tasks via fine-tuning…

Computation and Language · Computer Science 2022-09-12 Jimit Majmudar , Christophe Dupuy , Charith Peris , Sami Smaili , Rahul Gupta , Richard Zemel

Hierarchical clustering is a fundamental unsupervised machine learning task with the aim of organizing data into a hierarchy of clusters. Many applications of hierarchical clustering involve sensitive user information, therefore motivating…

Data Structures and Algorithms · Computer Science 2025-04-23 Chengyuan Deng , Jie Gao , Jalaj Upadhyay , Chen Wang , Samson Zhou

A major challenge for machine learning is increasing the availability of data while respecting the privacy of individuals. Here we combine the provable privacy guarantees of the differential privacy framework with the flexibility of…

Machine Learning · Statistics 2019-01-18 Michael Thomas Smith , Max Zwiessele , Neil D. Lawrence

Differential Privacy (DP) provides an elegant mathematical framework for defining a provable disclosure risk in the presence of arbitrary adversaries; it guarantees that whether an individual is in a database or not, the results of a DP…

Cryptography and Security · Computer Science 2021-08-19 Aleksandra Slavkovic , Roberto Molinari

Hyperparameter optimization, also known as hyperparameter tuning, is a widely recognized technique for improving model performance. Regrettably, when training private ML models, many practitioners often overlook the privacy risks associated…

Machine Learning · Computer Science 2023-11-28 Hua Wang , Sheng Gao , Huanyu Zhang , Weijie J. Su , Milan Shen

Decentralized optimization is gaining increased traction due to its widespread applications in large-scale machine learning and multi-agent systems. The same mechanism that enables its success, i.e., information sharing among participating…

Optimization and Control · Mathematics 2024-02-07 Yongqiang Wang , Angelia Nedic

Statistical model checking is a class of sequential algorithms that can verify specifications of interest on an ensemble of cyber-physical systems (e.g., whether 99% of cars from a batch meet a requirement on their energy efficiency). These…

Machine Learning · Computer Science 2022-06-29 Yu Wang , Hussein Sibai , Mark Yen , Sayan Mitra , Geir E. Dullerud

The software-based implementation of differential privacy mechanisms has been shown to be neither friendly for lightweight devices nor secure against side-channel attacks. In this work, we aim to develop a hardware-based technique to…

Cryptography and Security · Computer Science 2024-03-27 Jianqing Liu , Na Gong , Hritom Das

Deep neural networks have strong capabilities of memorizing the underlying training data, which can be a serious privacy concern. An effective solution to this problem is to train models with differential privacy, which provides rigorous…

Machine Learning · Computer Science 2024-07-04 Ergute Bao , Yizheng Zhu , Xiaokui Xiao , Yin Yang , Beng Chin Ooi , Benjamin Hong Meng Tan , Khin Mi Mi Aung

In this paper, we propose a unified framework, the Hessian discretisation method (HDM), which is based on four discrete elements (called altogether a Hessian discretisation) and a few intrinsic indicators of accuracy, independent of the…

Numerical Analysis · Mathematics 2018-08-28 Jérôme Droniou , Bishnu P. Lamichhane , Devika Shylaja