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We study the problem of answering a workload of linear queries $\mathcal{Q}$, on a database of size at most $n = o(|\mathcal{Q}|)$ drawn from a universe $\mathcal{U}$ under the constraint of (approximate) differential privacy. Nikolov,…

Data Structures and Algorithms · Computer Science 2015-05-04 Aleksandar Nikolov

We introduce a new method for releasing answers to statistical queries with differential privacy, based on the Johnson-Lindenstrauss lemma. The key idea is to randomly project the query answers to a lower dimensional space so that the…

Data Structures and Algorithms · Computer Science 2022-08-17 Aleksandar Nikolov

Linear regression is a fundamental tool for statistical analysis. This has motivated the development of linear regression methods that also satisfy differential privacy and thus guarantee that the learned model reveals little about any one…

Machine Learning · Computer Science 2023-03-20 Kareem Amin , Matthew Joseph , Mónica Ribero , Sergei Vassilvitskii

Differential privacy (DP) provides rigorous privacy guarantees on individual's data while also allowing for accurate statistics to be conducted on the overall, sensitive dataset. To design a private system, first private algorithms must be…

Cryptography and Security · Computer Science 2020-11-19 Mark Cesar , Ryan Rogers

This paper studies the H2 (Kalman) filtering problem in the situation where a signal estimate must be constructed based on inputs from individual participants, whose data must remain private. This problem arises in emerging applications…

Optimization and Control · Mathematics 2012-07-20 Jerome Le Ny , George J. Pappas

The randomized power method has gained significant interest due to its simplicity and efficient handling of large-scale spectral analysis and recommendation tasks. However, its application to large datasets containing personal information…

Machine Learning · Computer Science 2025-06-13 Julien Nicolas , César Sabater , Mohamed Maouche , Sonia Ben Mokhtar , Mark Coates

Federated Learning enables a population of clients, working with a trusted server, to collaboratively learn a shared machine learning model while keeping each client's data within its own local systems. This reduces the risk of exposing…

Cryptography and Security · Computer Science 2020-10-13 David Byrd , Antigoni Polychroniadou

The growing development of artificial intelligence based solutions, together with privacy legislation, has driven the rise of the so-called privacy preserving machine learning architectures, such as federated learning. While federated…

Cryptography and Security · Computer Science 2026-05-05 Judith Sáinz-Pardo Díaz , Álvaro López García

Privacy issues of recommender systems have become a hot topic for the society as such systems are appearing in every corner of our life. In contrast to the fact that many secure multi-party computation protocols have been proposed to…

Cryptography and Security · Computer Science 2017-03-13 Jun Wang , Qiang Tang

This paper attempts to answer the question whether neural network pruning can be used as a tool to achieve differential privacy without losing much data utility. As a first step towards understanding the relationship between neural network…

Machine Learning · Computer Science 2020-03-05 Yangsibo Huang , Yushan Su , Sachin Ravi , Zhao Song , Sanjeev Arora , Kai Li

Markov chains model a wide range of user behaviors. However, generating accurate Markov chain models requires substantial user data, and sharing these models without privacy protections may reveal sensitive information about the underlying…

Cryptography and Security · Computer Science 2026-02-27 Alexander Benvenuti , Brandon Fallin , Calvin Hawkins , Brendan Bialy , Miriam Dennis , Warren Dixon , Matthew Hale

Preserving privacy of continuous and/or high-dimensional data such as images, videos and audios, can be challenging with syntactic anonymization methods which are designed for discrete attributes. Differential privacy, which provides a more…

Machine Learning · Computer Science 2017-12-04 Jihun Hamm

A recently proposed scheme utilizing local noise addition and matrix masking enables data collection while protecting individual privacy from all parties, including the central data manager. Statistical analysis of such privacy-preserved…

Methodology · Statistics 2026-02-24 Linh H Nghiem , Aidong A. Ding , Samuel Wu

Differential privacy is a notion of privacy that has become very popular in the database community. Roughly, the idea is that a randomized query mechanism provides sufficient privacy protection if the ratio between the probabilities that…

Cryptography and Security · Computer Science 2014-06-18 Mário S. Alvim , Miguel E. Andrés , Konstantinos Chatzikokolakis , Pierpaolo Degano , Catuscia Palamidessi

We introduce Private Collection Matching (PCM) problems, in which a client aims to determine whether a collection of sets owned by a server matches their interests. Existing privacy-preserving cryptographic primitives cannot solve PCM…

Cryptography and Security · Computer Science 2022-12-15 Kasra EdalatNejad , Mathilde Raynal , Wouter Lueks , Carmela Troncoso

We introduce a differentially private (DP) algorithm called reveal-or-obscure (ROO) to generate a single representative sample from a dataset of $n$ observations drawn i.i.d. from an unknown discrete distribution $P$. Unlike methods that…

Information Theory · Computer Science 2026-02-18 Naima Tasnim , Atefeh Gilani , Lalitha Sankar , Oliver Kosut

In many industrial applications of big data, the Jaccard Similarity Computation has been widely used to measure the distance between two profiles or sets respectively owned by two users. Yet, one semi-honest user with unpredictable…

Data Structures and Algorithms · Computer Science 2017-05-23 Ziqi Yan , Jiqiang Liu , Gang Li , Zhen Han , Shuo Qiu

As Large Language Models (LLMs) proliferate, developing privacy safeguards for these models is crucial. One popular safeguard involves training LLMs in a differentially private manner. However, such solutions are shown to be computationally…

Machine Learning · Computer Science 2024-10-04 James Flemings , Meisam Razaviyayn , Murali Annavaram

Markov decision processes often seek to maximize a reward function, but onlookers may infer reward functions by observing the states and actions of such systems, revealing sensitive information. Therefore, in this paper we introduce and…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Alexander Benvenuti , Calvin Hawkins , Brandon Fallin , Bo Chen , Brendan Bialy , Miriam Dennis , Matthew Hale

We study the problem of interactive function computation by multiple parties possessing a single bit each in a differential privacy setting (i.e., there remains an uncertainty in any specific party's bit even when given the transcript of…

Cryptography and Security · Computer Science 2014-10-08 Peter Kairouz , Sewoong Oh , Pramod Viswanath