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Obtaining accurate high-resolution representations of model outputs is essential to describe the system dynamics. In general, however, only spatially- and temporally-coarse observations of the system states are available. These observations…

Dynamical Systems · Mathematics 2022-11-08 Mohamad Abed El Rahman Hammoud , Olivier LeMaitre , Edriss S. Titi , Ibrahim Hoteit , Omar Knio

In the past decade analysis of big data has proven to be extremely valuable in many contexts. Local Differential Privacy (LDP) is a state-of-the-art approach which allows statistical computations while protecting each individual user's…

Cryptography and Security · Computer Science 2019-07-30 Björn Bebensee

The use of formal privacy to protect the confidentiality of responses in the 2020 Decennial Census of Population and Housing has triggered renewed interest and debate over how to measure the disclosure risks and societal benefits of the…

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

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

Microaggregation is a technique for disclosure limitation aimed at protecting the privacy of data subjects in microdata releases. It has been used as an alternative to generalization and suppression to generate $k$-anonymous data sets,…

Cryptography and Security · Computer Science 2016-08-06 Jordi Soria-Comas , Josep Domingo-Ferrer , David Sánchez , Sergio Martínez

Local Differential Privacy (LDP) is the predominant privacy model for safeguarding individual data privacy. Existing perturbation mechanisms typically require perturbing the original values to ensure acceptable privacy, which inevitably…

Databases · Computer Science 2025-04-25 Qingqing Ye , Liantong Yu , Kai Huang , Xiaokui Xiao , Weiran Liu , Haibo Hu

Topological Data Analysis (TDA) is a recent approach to analyze data sets from the perspective of their topological structure. Its use for time series data has been limited. In this work, a system developed for a leading provider of cloud…

Machine Learning · Computer Science 2020-09-09 Rodrigo Rivera-Castro , Aleksandr Pletnev , Polina Pilyugina , Grecia Diaz , Ivan Nazarov , Wanyi Zhu , Evgeny Burnaev

Traditional approaches to differential privacy assume a fixed privacy requirement $\epsilon$ for a computation, and attempt to maximize the accuracy of the computation subject to the privacy constraint. As differential privacy is…

Machine Learning · Computer Science 2017-06-01 Katrina Ligett , Seth Neel , Aaron Roth , Bo Waggoner , Z. Steven Wu

Distributed optimization is manifesting great potential in multiple fields, e.g., machine learning, control, and resource allocation. Existing decentralized optimization algorithms require sharing explicit state information among the…

Systems and Control · Electrical Eng. & Systems 2024-05-28 Huqiang Cheng , Xiaofeng Liao , Huaqing Li , You Zhao

Local differential privacy (LDP) is a strong privacy standard that has been adopted by popular software systems. The main idea is that each individual perturbs their own data locally, and only submits the resulting noisy version to a data…

Cryptography and Security · Computer Science 2024-04-04 Fei Wei , Ergute Bao , Xiaokui Xiao , Yin Yang , Bolin Ding

We characterize the minimum noise amplitude and power for noise-adding mechanisms in $(\epsilon, \delta)$-differential privacy for single real-valued query function. We derive new lower bounds using the duality of linear programming, and…

Cryptography and Security · Computer Science 2019-02-06 Quan Geng , Wei Ding , Ruiqi Guo , Sanjiv Kumar

We study the problem of differentially private second moment estimation and present a new algorithm that achieve strong privacy-utility trade-offs even for worst-case inputs under subsamplability assumptions on the data. We call an input…

Machine Learning · Computer Science 2025-05-21 Bar Mahpud , Or Sheffet

We develop a framework for analyzing multivariate time series using topological data analysis (TDA) methods. The proposed methodology involves converting the multivariate time series to point cloud data, calculating Wasserstein distances…

Algebraic Topology · Mathematics 2020-12-29 Chengyuan Wu , Carol Anne Hargreaves

In differential privacy (DP) mechanisms, it can be beneficial to release "redundant" outputs, where some quantities can be estimated in multiple ways by combining different privatized values. Indeed, the DP 2020 Decennial Census products…

Computation · Statistics 2025-07-16 Jordan Awan , Adam Edwards , Paul Bartholomew , Andrew Sillers

The remarkable success of Deep Learning approaches is often based and demonstrated on large public datasets. However, when applying such approaches to internal, private datasets, one frequently faces challenges arising from structural…

Machine Learning · Computer Science 2025-04-30 Dayananda Herurkar , Jörn Hees , Vesselin Tzvetkov , Andreas Dengel

Current practices for reporting the level of differential privacy (DP) protection for machine learning (ML) algorithms such as DP-SGD provide an incomplete and potentially misleading picture of the privacy guarantees. For instance, if only…

Machine Learning · Computer Science 2025-10-03 Juan Felipe Gomez , Bogdan Kulynych , Georgios Kaissis , Flavio P. Calmon , Jamie Hayes , Borja Balle , Antti Honkela

Analyzing data owned by several parties while achieving a good trade-off between utility and privacy is a key challenge in federated learning and analytics. In this work, we introduce a novel relaxation of local differential privacy (LDP)…

Machine Learning · Computer Science 2022-03-08 Edwige Cyffers , Aurélien Bellet

The increasing demand for privacy-preserving data analytics in various domains necessitates solutions for synthetic data generation that rigorously uphold privacy standards. We introduce the DP-FedTabDiff framework, a novel integration of…

Machine Learning · Computer Science 2025-09-01 Timur Sattarov , Marco Schreyer , Damian Borth

In this work, we explore differentially private synthetic data generation in a decentralized-data setting by building on the recently proposed Differentially Private Class-Centric Data Aggregation (DP-CDA). DP-CDA synthesizes data in a…

Machine Learning · Statistics 2025-09-15 Utsab Saha , Tanvir Muntakim Tonoy , Hafiz Imtiaz