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Related papers: Space-Efficient Private Estimation of Quantiles

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Many methods in differentially private model training rely on computing the similarity between a query point (such as public or synthetic data) and private data. We abstract out this common subroutine and study the following fundamental…

Cryptography and Security · Computer Science 2024-03-15 Arturs Backurs , Zinan Lin , Sepideh Mahabadi , Sandeep Silwal , Jakub Tarnawski

Clustering problems (such as $k$-means and $k$-median) are fundamental unsupervised machine learning primitives, and streaming clustering algorithms have been extensively studied in the past. However, since data privacy becomes a central…

Data Structures and Algorithms · Computer Science 2025-10-03 Alessandro Epasto , Tamalika Mukherjee , Peilin Zhong

Data streams produced by mobile devices, such as smartphones, offer highly valuable sources of information to build ubiquitous services. Such data streams are generally uploaded and centralized to be processed by third parties, potentially…

Data Structures and Algorithms · Computer Science 2025-06-30 Rémy Raes , Olivier Ruas , Adrien Luxey-Bitri , Romain Rouvoy

We present on-line algorithms for computing approximations of rank-based statistics that give high accuracy, particularly near the tails of a distribution, with very small sketches. Notably, the method allows a quantile $q$ to be computed…

Computation · Statistics 2019-02-12 Ted Dunning , Otmar Ertl

Monitoring the performance of large shared computing systems such as the cloud computing infrastructure raises many challenging algorithmic problems. One common problem is to track users with the largest deviation from the norm (outliers),…

Databases · Computer Science 2009-07-20 Chiranjeeb Buragohain , Luca Foschini , Subhash Suri

Based on binary inquiries, we developed an algorithm to estimate population quantiles under Local Differential Privacy (LDP). By self-normalizing, our algorithm provides asymptotically normal estimation with valid inference, resulting in…

Methodology · Statistics 2023-08-08 Yi Liu , Qirui Hu , Lei Ding , Bei Jiang , Linglong Kong

Approximating quantiles and distributions over streaming data has been studied for roughly two decades now. Recently, Karnin, Lang, and Liberty proposed the first asymptotically optimal algorithm for doing so. This manuscript complements…

Data Structures and Algorithms · Computer Science 2019-07-02 Nikita Ivkin , Edo Liberty , Kevin Lang , Zohar Karnin , Vladimir Braverman

IoT-enabled devices continue to generate a massive amount of data. Transforming this continuously arriving raw data into timely insights is critical for many modern online services. For such settings, the traditional form of data analytics…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-16 Zhenyu Wen , Do Le Quoc , Pramod Bhatotia , Ruichuan Chen , Myungjin Lee

In this work we study the problem of differentially private (DP) quantiles, in which given dataset $X$ and quantiles $q_1, ..., q_m \in [0,1]$, we want to output $m$ quantile estimations which are as close as possible to the true quantiles…

Machine Learning · Computer Science 2021-10-12 Haim Kaplan , Shachar Schnapp , Uri Stemmer

We consider the problem of collaborative personalized mean estimation under a privacy constraint in an environment of several agents continuously receiving data according to arbitrary unknown agent-specific distributions. In particular, we…

Machine Learning · Computer Science 2024-12-02 Yauhen Yakimenka , Chung-Wei Weng , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

Data imputation is an important data preparation task where the data analyst replaces missing or erroneous values to increase the expected accuracy of downstream analyses. The accuracy improvement of data imputation extends to private data…

Cryptography and Security · Computer Science 2025-11-27 Abdelkarim Kati , Florian Kerschbaum , Marina Blanton

In this work, we investigate the problem of private statistical analysis in the distributed and semi-honest setting. In particular, we study properties of Private Stream Aggregation schemes, first introduced by Shi et al. \cite{2}. These…

Cryptography and Security · Computer Science 2015-07-30 Filipp Valovich , Francesco Aldà

A streaming algorithm is adversarially robust if it is guaranteed to perform correctly even in the presence of an adaptive adversary. Recently, several sophisticated frameworks for robustification of classical streaming algorithms have been…

Data Structures and Algorithms · Computer Science 2021-09-09 Omri Ben-Eliezer , Talya Eden , Krzysztof Onak

Many differentially private algorithms for answering database queries involve a step that reconstructs a discrete data distribution from noisy measurements. This provides consistent query answers and reduces error, but often requires space…

Machine Learning · Computer Science 2021-10-27 Ryan McKenna , Siddhant Pradhan , Daniel Sheldon , Gerome Miklau

We identify a new class of vulnerabilities in implementations of differential privacy. Specifically, they arise when computing basic statistics such as sums, thanks to discrepancies between the implemented arithmetic using finite data types…

Cryptography and Security · Computer Science 2022-11-11 Sílvia Casacuberta , Michael Shoemate , Salil Vadhan , Connor Wagaman

In modern settings of data analysis, we may be running our algorithms on datasets that are sensitive in nature. However, classical machine learning and statistical algorithms were not designed with these risks in mind, and it has been…

Data Structures and Algorithms · Computer Science 2021-08-21 Huanyu Zhang

In Internet of Things (IoT) driven smart-world systems, real-time crowd-sourced databases from multiple distributed servers can be aggregated to extract dynamic statistics from a larger population, thus providing more reliable knowledge for…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-04 Xuebin Ren , Chia-Mu Yu , Wei Yu , Xinyu Yang , Jun Zhao , Shusen Yang

Modern statistical estimation is often performed in a distributed setting where each sample belongs to a single user who shares their data with a central server. Users are typically concerned with preserving the privacy of their samples,…

Machine Learning · Computer Science 2023-05-16 Gecia Bravo-Hermsdorff , Róbert Busa-Fekete , Mohammad Ghavamzadeh , Andres Muñoz Medina , Umar Syed

In the approximate quantiles problem, the goal is to output $m$ quantile estimates, the ranks of which are as close as possible to $m$ given quantiles $0 \leq q_1 \leq\dots \leq q_m \leq 1$. We present a mechanism for approximate quantiles…

Data Structures and Algorithms · Computer Science 2025-12-15 Jacob Imola , Fabrizio Boninsegna , Hannah Keller , Anders Aamand , Amrita Roy Chowdhury , Rasmus Pagh

Streaming data collection is indispensable for stream data analysis, such as event monitoring. However, publishing these data directly leads to privacy leaks. $w$-event privacy is a valuable tool to protect individual privacy within a given…

Databases · Computer Science 2025-09-11 Leilei Du , Peng Cheng , Lei Chen , Heng Tao Shen , Xuemin Lin , Wei Xi