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相关论文: Profile Reconstruction from Private Sketches

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Local differential privacy (LDP) has recently become a popular privacy-preserving data collection technique protecting users' privacy. The main problem of data stream collection under LDP is the poor utility due to multi-item collection…

密码学与安全 · 计算机科学 2023-06-22 Ying Li , Xiaodong Lee , Botao Peng , Themis Palpanas , Jingan Xue

A powerful feature of linear sketches is that from sketches of two data vectors, one can compute the sketch of the difference between the vectors. This allows us to answer fine-grained questions about the difference between two data sets.…

数据结构与算法 · 计算机科学 2020-09-30 Rasmus Pagh , Nina Mesing Stausholm

Linear regression is frequently applied in a variety of domains, some of which might contain sensitive information. This necessitates that the application of these methods does not reveal private information. Differentially private (DP)…

机器学习 · 计算机科学 2025-12-01 Shrutimoy Das , Debanuj Nayak , Anirban Dasgupta

Sketches are widely used for frequency estimation of data with a large domain. However, sketches-based frequency estimation faces more challenges when considering privacy. Local differential privacy (LDP) is a solution to frequency…

密码学与安全 · 计算机科学 2022-11-22 Meifan Zhang , Sixin Lin , Lihua Yin

We revisit the classical problem of Fourier-sparse signal reconstruction -- a variant of the \emph{Set Query} problem -- which asks to efficiently reconstruct (a subset of) a $d$-dimensional Fourier-sparse signal ($\|\hat{x}(t)\|_0 \leq…

数据结构与算法 · 计算机科学 2023-11-21 Yeqi Gao , Zhao Song , Baocheng Sun , Omri Weinstein , Ruizhe Zhang

The sliding window model of computation captures scenarios in which data are continually arriving in the form of a stream, and only the most recent $w$ items are used for analysis. In this setting, an algorithm needs to accurately track…

密码学与安全 · 计算机科学 2024-06-13 Yiping Wang , Yanhao Wang , Cen Chen

This paper considers the private release of statistics of disjoint subsets of a dataset, in the setting of data heterogeneity, where users could contribute more than one sample, with different users contributing potentially different…

密码学与安全 · 计算机科学 2025-03-26 V. Arvind Rameshwar , Anshoo Tandon

Frequency estimation, a.k.a. histograms, is a workhorse of data analysis, and as such has been thoroughly studied under differentially privacy. In particular, computing histograms in the \emph{local} model of privacy has been the focus of a…

数据结构与算法 · 计算机科学 2024-09-05 Clément L. Canonne , Abigail Gentle

We develop the first pure node-differentially-private algorithms for learning stochastic block models and for graphon estimation with polynomial running time for any constant number of blocks. The statistical utility guarantees match those…

数据结构与算法 · 计算机科学 2024-04-19 Hongjie Chen , Jingqiu Ding , Tommaso d'Orsi , Yiding Hua , Chih-Hung Liu , David Steurer

We study distributed estimation and learning problems in a networked environment where agents exchange information to estimate unknown statistical properties of random variables from their privately observed samples. The agents can…

机器学习 · 计算机科学 2024-04-02 Marios Papachristou , M. Amin Rahimian

Federated learning (FL) faces two primary challenges: the risk of privacy leakage due to parameter sharing and communication inefficiencies. To address these challenges, we propose DPSFL, a federated learning method that utilizes…

机器学习 · 计算机科学 2024-10-11 Meifan Zhang , Zhanhong Xie , Lihua Yin

Several recent works have considered the \emph{trace reconstruction problem}, in which an unknown source string $x\in\{0,1\}^n$ is transmitted through a probabilistic channel which may randomly delete coordinates or insert random bits,…

数据结构与算法 · 计算机科学 2019-07-16 Frank Ban , Xi Chen , Rocco A. Servedio , Sandip Sinha

Numerical vector aggregation plays a crucial role in privacy-sensitive applications, such as distributed gradient estimation in federated learning and statistical analysis of key-value data. In the context of local differential privacy,…

密码学与安全 · 计算机科学 2023-04-11 Shaowei Wang , Jin Li , Yuntong Li , Jin Li , Wei Yang , Hongyang Yan

The problem of estimating a parameter in the drift coefficient is addressed for $N$ discretely observed independent and identically distributed stochastic differential equations (SDEs). This is done considering additional constraints,…

统计理论 · 数学 2024-10-17 Chiara Amorino , Arnaud Gloter , Hélène Halconruy

Sketching is an important tool for dealing with high-dimensional vectors that are sparse (or well-approximated by a sparse vector), especially useful in distributed, parallel, and streaming settings. It is known that sketches can be made…

数据结构与算法 · 计算机科学 2022-10-13 Rasmus Pagh , Mikkel Thorup

We develop an algorithm for estimating the values of a vector x in R^n over a support S of size k from a randomized sparse binary linear sketch Ax of size O(k). Given Ax and S, we can recover x' with ||x' - x_S||_2 <= eps ||x - x_S||_2 with…

数据结构与算法 · 计算机科学 2010-11-22 Eric Price

We study person-level differentially private (DP) mean estimation in the case where each person holds multiple samples. DP here requires the usual notion of distributional stability when $\textit{all}$ of a person's datapoints can be…

数据结构与算法 · 计算机科学 2024-07-22 Sushant Agarwal , Gautam Kamath , Mahbod Majid , Argyris Mouzakis , Rose Silver , Jonathan Ullman

We study the classical problem of community recovery in stochastic block models with a fixed number of communities, with a twist: We seek algorithms that are stable with respect to node-wise changes in the graph structure, formally defined…

统计理论 · 数学 2026-05-18 Laurentiu Marchis , Ethan D'souza , Tomáš Flídr , Po-Ling Loh

Theoretical inverse problems are often studied in an ideal infinite-dimensional setting. The well-posedness theory provides a unique reconstruction of the parameter function, when an infinite amount of data is given. Through the lens of…

数值分析 · 数学 2025-10-13 Ruhui Jin , Qin Li , Anjali Nair , Samuel Stechmann

In the standard trace reconstruction problem, the goal is to \emph{exactly} reconstruct an unknown source string $\mathsf{x} \in \{0,1\}^n$ from independent "traces", which are copies of $\mathsf{x}$ that have been corrupted by a…

数据结构与算法 · 计算机科学 2021-08-26 Xi Chen , Anindya De , Chin Ho Lee , Rocco A. Servedio , Sandip Sinha
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