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In this work, we propose a new algorithm ProjectiveGeometryResponse (PGR) for locally differentially private (LDP) frequency estimation. For a universe size of $k$ and with $n$ users, our $\varepsilon$-LDP algorithm has communication cost…

Cryptography and Security · Computer Science 2022-03-02 Vitaly Feldman , Jelani Nelson , Huy Lê Nguyen , Kunal Talwar

We introduce an $(\epsilon, \delta)$-jointly differentially private algorithm for packing problems. Our algorithm not only achieves the optimal trade-off between the privacy parameter $\epsilon$ and the minimum supply requirement (up to…

Data Structures and Algorithms · Computer Science 2019-05-03 Zhiyi Huang , Xue Zhu

This paper investigates the problem of collecting multidimensional data throughout time (i.e., longitudinal studies) for the fundamental task of frequency estimation under Local Differential Privacy (LDP) guarantees. Contrary to frequency…

Cryptography and Security · Computer Science 2022-07-19 Héber H. Arcolezi , Jean-François Couchot , Bechara Al Bouna , Xiaokui Xiao

We provide an improved analysis of standard differentially private gradient descent for linear regression under the squared error loss. Under modest assumptions on the input, we characterize the distribution of the iterate at each time…

Machine Learning · Computer Science 2024-02-22 Gavin Brown , Krishnamurthy Dvijotham , Georgina Evans , Daogao Liu , Adam Smith , Abhradeep Thakurta

Top-$k$ frequent items detection is a fundamental task in data stream mining. Many promising solutions are proposed to improve memory efficiency while still maintaining high accuracy for detecting the Top-$k$ items. Despite the memory…

Cryptography and Security · Computer Science 2023-11-28 Xiaochen Li , Weiran Liu , Jian Lou , Yuan Hong , Lei Zhang , Zhan Qin , Kui Ren

We develop lower bounds for estimation under local privacy constraints---including differential privacy and its relaxations to approximate or R\'{e}nyi differential privacy---by showing an equivalence between private estimation and…

Statistics Theory · Mathematics 2019-05-07 John Duchi , Ryan Rogers

In this paper, we present a protocol for computing the principal eigenvector of a collection of data matrices belonging to multiple semi-honest parties with privacy constraints. Our proposed protocol is based on secure multi-party…

Cryptography and Security · Computer Science 2010-07-30 Manas A. Pathak , Bhiksha Raj

We propose a locally differentially private graph clustering algorithm. Previous works have explored this problem, including approaches that apply spectral clustering to graphs generated via the randomized response algorithm. However, these…

Data Structures and Algorithms · Computer Science 2025-05-19 Vorapong Suppakitpaisarn , Sayan Mukherjee

We study the problem of estimating finite sample confidence intervals of the mean of a normal population under the constraint of differential privacy. We consider both the known and unknown variance cases and construct differentially…

Cryptography and Security · Computer Science 2017-11-13 Vishesh Karwa , Salil Vadhan

Identifying heavy hitters in data streams is a fundamental problem with widespread applications in modern analytics systems. These streams are often derived from sensitive user activity, making update-level privacy guarantees necessary.…

Cryptography and Security · Computer Science 2026-01-16 Rayne Holland

Decision trees are a powerful prediction model with many applications in statistics, data mining, and machine learning. In some settings, the model and the data to be classified may contain sensitive information belonging to different…

Cryptography and Security · Computer Science 2019-09-19 Anselme Tueno , Yordan Boev , Florian Kerschbaum

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

Ratio statistics--such as relative risk and odds ratios--play a central role in hypothesis testing, model evaluation, and decision-making across many areas of machine learning, including causal inference and fairness analysis. However,…

Machine Learning · Statistics 2025-05-28 Tomer Shoham , Katrina Ligettt

Local differential privacy is a differential privacy paradigm in which individuals first apply a privacy mechanism to their data (often by adding noise) before transmitting the result to a curator. The noise for privacy results in…

Methodology · Statistics 2023-10-17 Yuki Ohnishi , Jordan Awan

We propose a strategy for computing the isotonic least-squares estimate of a monotone function in a general regression setting where the data are distributed across different servers and the observations across servers, though independent,…

Statistics Theory · Mathematics 2018-06-25 Moulinath Banerjee , Cecile Durot

The simplest and most widely applied method for guaranteeing differential privacy is to add instance-independent noise to a statistic of interest that is scaled to its global sensitivity. However, global sensitivity is a worst-case notion…

Statistics Theory · Mathematics 2019-06-10 Mark Bun , Thomas Steinke

Differential privacy with gradual expiration models the setting where data items arrive in a stream and at a given time $t$ the privacy loss guaranteed for a data item seen at time $(t-d)$ is $\epsilon g(d)$, where $g$ is a monotonically…

Cryptography and Security · Computer Science 2024-06-07 Joel Daniel Andersson , Monika Henzinger , Rasmus Pagh , Teresa Anna Steiner , Jalaj Upadhyay

Differentially private stochastic gradient descent (DP-SGD) is the workhorse algorithm for recent advances in private deep learning. It provides a single privacy guarantee to all datapoints in the dataset. We propose output-specific…

Machine Learning · Computer Science 2024-07-26 Da Yu , Gautam Kamath , Janardhan Kulkarni , Tie-Yan Liu , Jian Yin , Huishuai Zhang

We introduce the notion of restricted sensitivity as an alternative to global and smooth sensitivity to improve accuracy in differentially private data analysis. The definition of restricted sensitivity is similar to that of global…

Cryptography and Security · Computer Science 2013-02-04 Jeremiah Blocki , Avrim Blum , Anupam Datta , Or Sheffet

One of the most basic problems for studying the "price of privacy over time" is the so called private counter problem, introduced by Dwork et al. (2010) and Chan et al. (2010). In this problem, we aim to track the number of events that…

Cryptography and Security · Computer Science 2024-04-19 Edith Cohen , Xin Lyu , Jelani Nelson , Tamás Sarlós , Uri Stemmer