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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

Gaussian differential privacy (GDP) is a single-parameter family of privacy notions that provides coherent guarantees to avoid the exposure of sensitive individual information. Despite the extra interpretability and tighter bounds under…

密码学与安全 · 计算机科学 2022-10-18 Yi Liu , Ke Sun , Linglong Kong , Bei Jiang

Motivated by a geometric problem, we introduce a new non-convex graph partitioning objective where the optimality criterion is given by the sum of the Dirichlet eigenvalues of the partition components. A relaxed formulation is identified…

最优化与控制 · 数学 2016-03-29 Braxton Osting , Chris D. White , Edouard Oudet

Algorithms for node clustering typically focus on finding homophilous structure in graphs. That is, they find sets of similar nodes with many edges within, rather than across, the clusters. However, graphs often also exhibit heterophilous…

机器学习 · 计算机科学 2023-08-15 Sudhanshu Chanpuriya , Cameron Musco

As multi-agent systems become more numerous and more data-driven, novel forms of privacy are needed in order to protect data types that are not accounted for by existing privacy frameworks. In this paper, we present a new form of privacy…

最优化与控制 · 数学 2017-10-04 Matthew T. Hale

In computer vision, we have the problem of creating graphs out of unstructured point-sets, i.e. the data graph. A common approach for this problem consists of building a triangulation which might not always lead to the best solution. Small…

计算机视觉与模式识别 · 计算机科学 2015-05-26 Samuel de Sousa , Walter G. Kropatsch

A mechanism for releasing information about a statistical database with sensitive data must resolve a trade-off between utility and privacy. Privacy can be rigorously quantified using the framework of {\em differential privacy}, which…

数据库 · 计算机科学 2009-03-20 Arpita Ghosh , Tim Roughgarden , Mukund Sundararajan

Large data collections required for the training of neural networks often contain sensitive information such as the medical histories of patients, and the privacy of the training data must be preserved. In this paper, we introduce a dropout…

机器学习 · 统计学 2017-12-06 Beyza Ermis , Ali Taylan Cemgil

We study the private $k$-median and $k$-means clustering problem in $d$ dimensional Euclidean space. By leveraging tree embeddings, we give an efficient and easy to implement algorithm, that is empirically competitive with state of the art…

Sampling schemes are fundamental tools in statistics, survey design, and algorithm design. A fundamental result in differential privacy is that a differentially private mechanism run on a simple random sample of a population provides…

统计方法学 · 统计学 2023-06-23 Mark Bun , Jörg Drechsler , Marco Gaboardi , Audra McMillan , Jayshree Sarathy

With the increasing prevalence of location-aware devices, trajectory data has been generated and collected in various application domains. Trajectory data carries rich information that is useful for many data analysis tasks. Yet, improper…

数据库 · 计算机科学 2011-12-12 Rui Chen , Benjamin C. M. Fung , Bipin C. Desai

We consider a problem where mutually untrusting curators possess portions of a vertically partitioned database containing information about a set of individuals. The goal is to enable an authorized party to obtain aggregate (statistical)…

密码学与安全 · 计算机科学 2013-04-18 Bing-Rong Lin , Ye Wang , Shantanu Rane

Differential privacy (DP) provides a mathematical guarantee limiting what an adversary can learn about any individual from released data. However, achieving this protection typically requires adding noise, and noise can accumulate when many…

机器学习 · 计算机科学 2026-02-12 Amir Asiaee , Chao Yan , Zachary B. Abrams , Bradley A. Malin

A recently proposed clustering method, called the Nearest Descent (ND), can organize the whole dataset into a sparsely connected graph, called the In-tree. This ND-based Intree structure proves able to reveal the clustering structure…

机器学习 · 计算机科学 2018-01-30 Teng Qiu , Yongjie Li

We develop new methods based on graph motifs for graph clustering, allowing more efficient detection of communities within networks. We focus on triangles within graphs, but our techniques extend to other clique motifs as well. Our…

数据结构与算法 · 计算机科学 2017-02-07 Charalampos Tsourakakis , Jakub Pachocki , Michael Mitzenmacher

Deep neural networks with their large number of parameters are highly flexible learning systems. The high flexibility in such networks brings with some serious problems such as overfitting, and regularization is used to address this…

机器学习 · 统计学 2017-12-20 Beyza Ermis , Ali Taylan Cemgil

Directly releasing those data raises privacy and liability (e.g., due to unauthorized distribution of such datasets) concerns since location data contain users' sensitive information, e.g., regular moving patterns and favorite spots. To…

密码学与安全 · 计算机科学 2023-04-25 Yuzhou Jiang , Emre Yilmaz , Erman Ayday

There is an increasing demand to make data "open" to third parties, as data sharing has great benefits in data-driven decision making. However, with a wide variety of sensitive data collected, protecting privacy of individuals, communities…

密码学与安全 · 计算机科学 2017-07-19 David B. Smith , Kanchana Thilakarathna , Mohamed Ali Kaafar

The shuffle model of Differential Privacy (DP) is an enhanced privacy protocol which introduces an intermediate trusted server between local users and a central data curator. It significantly amplifies the central DP guarantee by…

密码学与安全 · 计算机科学 2024-07-26 Yixuan Liu , Yuhan Liu , Li Xiong , Yujie Gu , Hong Chen

In this paper, we tackle the problem of constructing a differentially private synopsis for the classification analyses. Several the state-of-the-art methods follow the structure of existing classification algorithms and are all iterative,…

密码学与安全 · 计算机科学 2015-04-24 Dong Su , Jianneng Cao , Ninghui Li