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In this paper, we consider the $k$-approximate pattern matching problem under differential privacy, where the goal is to report or count all substrings of a given string $S$ which have a Hamming distance at most $k$ to a pattern $P$, or…

Data Structures and Algorithms · Computer Science 2023-11-14 Teresa Anna Steiner

We study differentially private (DP) algorithms for stochastic convex optimization: the problem of minimizing the population loss given i.i.d. samples from a distribution over convex loss functions. A recent work of Bassily et al. (2019)…

Machine Learning · Computer Science 2020-05-12 Vitaly Feldman , Tomer Koren , Kunal Talwar

Differential Privacy (DP) is a family of definitions that bound the worst-case privacy leakage of a mechanism. One important feature of the worst-case DP guarantee is it naturally implies protections against adversaries with less prior…

Cryptography and Security · Computer Science 2025-07-14 Marika Swanberg , Meenatchi Sundaram Muthu Selva Annamalai , Jamie Hayes , Borja Balle , Adam Smith

Compressing the output of \epsilon-locally differentially private (LDP) randomizers naively leads to suboptimal utility. In this work, we demonstrate the benefits of using schemes that jointly compress and privatize the data using shared…

Cryptography and Security · Computer Science 2022-03-01 Abhin Shah , Wei-Ning Chen , Johannes Balle , Peter Kairouz , Lucas Theis

In this paper, we study the problem of consensus-based distributed optimization where a network of agents, abstracted as a directed graph, aims to minimize the sum of all agents' cost functions collaboratively. In existing distributed…

Systems and Control · Electrical Eng. & Systems 2022-08-30 Xiaomeng Chen , Lingying Huang , Lidong He , Subhrakanti Dey , Ling Shi

This paper studies the exact recovery threshold subject to preserving the privacy of connections in $h$-uniform hypergraphs. Privacy is characterized by the $(\epsilon, \delta)$-hyperedge differential privacy (DP), an extension of the…

Information Theory · Computer Science 2026-01-08 Javad Zahedi Moghaddam , Aria Nosratinia

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

Designing privacy-preserving machine learning algorithms has received great attention in recent years, especially in the setting when the data contains sensitive information. Differential privacy (DP) is a widely used mechanism for data…

Machine Learning · Computer Science 2025-09-11 Chunyang Liao , Deanna Needell , Hayden Schaeffer , Alexander Xue

Finding efficient, easily implementable differentially private (DP) algorithms that offer strong excess risk bounds is an important problem in modern machine learning. To date, most work has focused on private empirical risk minimization…

Machine Learning · Computer Science 2024-09-23 Andrew Lowy , Meisam Razaviyayn

In this paper, we initiate a systematic investigation of differentially private algorithms for convex empirical risk minimization. Various instantiations of this problem have been studied before. We provide new algorithms and matching lower…

Machine Learning · Computer Science 2014-10-21 Raef Bassily , Adam Smith , Abhradeep Thakurta

Differential privacy has been used to privately calculate numerous network properties, but existing approaches often require the development of a new privacy mechanism for each property of interest. Therefore, we present a framework for…

Optimization and Control · Mathematics 2025-10-03 Huaiyuan Rao , Calvin Hawkins , Alexander Benvenuti , Matthew Hale

Training differentially private machine learning models requires constraining an individual's contribution to the optimization process. This is achieved by clipping the $2$-norm of their gradient at a predetermined threshold prior to…

Machine Learning · Computer Science 2024-01-09 Filippo Galli , Catuscia Palamidessi , Tommaso Cucinotta

Differentially private selection mechanisms offer strong privacy guarantees for queries aiming to identify the top-scoring element r from a finite set R, based on a dataset-dependent utility function. While selection queries are fundamental…

Machine Learning · Computer Science 2025-04-16 Iago Chaves , Victor Farias , Amanda Perez , Diego Mesquita , Javam Machado

We study the sublinear space continual release model for edge-differentially private (DP) graph algorithms, with a focus on the densest subgraph problem (DSG) in the insertion-only setting. Our main result is the first continual release DSG…

Data Structures and Algorithms · Computer Science 2025-10-14 Felix Zhou

This study examines a resource-sharing problem involving multiple parties that agree to use a set of capacities together. We start with modeling the whole problem as a mathematical program, where all parties are required to exchange…

Optimization and Control · Mathematics 2024-01-08 Utku Karaca , Nursen Aydin , Sinan Yildirim , S. Ilker Birbil

Previous work on user-level differential privacy (DP) [Ghazi et al. NeurIPS 2021, Bun et al. STOC 2023] obtained generic algorithms that work for various learning tasks. However, their focus was on the example-rich regime, where the users…

Data Structures and Algorithms · Computer Science 2023-09-25 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Raghu Meka , Chiyuan Zhang

We present an asymptotically optimal $(\epsilon,\delta)$ differentially private mechanism for answering multiple, adaptively asked, $\Delta$-sensitive queries, settling the conjecture of Steinke and Ullman [2020]. Our algorithm has a…

Data Structures and Algorithms · Computer Science 2021-11-09 Yuval Dagan , Gil Kur

Differential privacy has become a widely accepted notion of privacy, leading to the introduction and deployment of numerous privatization mechanisms. However, ensuring the privacy guarantee is an error-prone process, both in designing…

Information Theory · Computer Science 2019-05-27 Xiyang Liu , Sewoong Oh

The all-pairs shortest distances (APSD) with differential privacy (DP) problem takes as input an undirected, weighted graph $G = (V,E, \mathbf{w})$ and outputs a private estimate of the shortest distances in $G$ between all pairs of…

Data Structures and Algorithms · Computer Science 2024-07-16 Jesse Campbell , Chunjiang Zhu

We study how to release summary statistics on a data stream subject to the constraint of differential privacy. In particular, we focus on releasing the family of symmetric norms, which are invariant under sign-flips and coordinate-wise…

Data Structures and Algorithms · Computer Science 2023-07-11 Vladimir Braverman , Joel Manning , Zhiwei Steven Wu , Samson Zhou