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Confidence intervals for the population mean of normally distributed data are some of the most standard statistical outputs one might want from a database. In this work we give practical differentially private algorithms for this task. We…

Methodology · Statistics 2020-01-09 Wenxin Du , Canyon Foot , Monica Moniot , Andrew Bray , Adam Groce

A hierarchical scheme for clustering data is presented which applies to spaces with a high number of dimension ($N_{_{D}}>3$). The data set is first reduced to a smaller set of partitions (multi-dimensional bins). Multiple clustering…

Data Analysis, Statistics and Probability · Physics 2017-10-16 Kevin McIlhany , Stephen Wiggins

We study the design of differentially private algorithms for adaptive analysis of dynamically growing databases, where a database accumulates new data entries while the analysis is ongoing. We provide a collection of tools for machine…

Data Structures and Algorithms · Computer Science 2018-03-20 Rachel Cummings , Sara Krehbiel , Kevin A. Lai , Uthaipon Tantipongpipat

We aim to collect buried lemmas that are useful for proofs. In particular, we try to provide self-contained proofs for those lemmas and categorise them according to their usage.

Data Structures and Algorithms · Computer Science 2022-11-22 Yiyang Huang , Clément L. Canonne

Clustering algorithms are one of the main analytical methods to detect patterns in unlabeled data. Existing clustering methods typically treat samples in a dataset as points in a metric space and compute distances to group together similar…

Machine Learning · Computer Science 2021-10-12 Tarek Naous , Srinjay Sarkar , Abubakar Abid , James Zou

We present the first differentially private algorithms for reinforcement learning, which apply to the task of evaluating a fixed policy. We establish two approaches for achieving differential privacy, provide a theoretical analysis of the…

Machine Learning · Computer Science 2016-03-08 Borja Balle , Maziar Gomrokchi , Doina Precup

Differential privacy is a rigorous privacy condition achieved by randomizing query answers. This paper develops efficient algorithms for answering multiple queries under differential privacy with low error. We pursue this goal by advancing…

Databases · Computer Science 2011-03-08 Chao Li , Gerome Miklau

Discovering frequent graph patterns in a graph database offers valuable information in a variety of applications. However, if the graph dataset contains sensitive data of individuals such as mobile phone-call graphs and web-click graphs,…

Databases · Computer Science 2013-03-05 Entong Shen , Ting Yu

Analyzing data owned by several parties while achieving a good trade-off between utility and privacy is a key challenge in federated learning and analytics. In this work, we introduce a novel relaxation of local differential privacy (LDP)…

Machine Learning · Computer Science 2022-03-08 Edwige Cyffers , Aurélien Bellet

A clustering algorithm partitions a set of data points into smaller sets (clusters) such that each subset is more tightly packed than the whole. Many approaches to clustering translate the vector data into a graph with edges reflecting a…

Geometric Topology · Mathematics 2012-06-06 Jesse Johnson

Differential privacy comes equipped with multiple analytical tools for the design of private data analyses. One important tool is the so-called "privacy amplification by subsampling" principle, which ensures that a differentially private…

Machine Learning · Computer Science 2018-11-26 Borja Balle , Gilles Barthe , Marco Gaboardi

We study the classic $k$-means/median clustering, which are fundamental problems in unsupervised learning, in the setting where data are partitioned across multiple sites, and where we are allowed to discard a small portion of the data by…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-12 Jiecao Chen , Erfan Sadeqi Azer , Qin Zhang

Recent increase in online privacy concerns prompts the following question: can a recommender system be accurate if users do not entrust it with their private data? To answer this, we study the problem of learning item-clusters under local…

Machine Learning · Computer Science 2014-10-29 Siddhartha Banerjee , Nidhi Hegde , Laurent Massoulié

We consider the binary classification problem in a setup that preserves the privacy of the original sample. We provide a privacy mechanism that is locally differentially private and then construct a classifier based on the private sample…

Statistics Theory · Mathematics 2019-12-11 Thomas Berrett , Cristina Butucea

In pervasive computing environments, Location- Based Services (LBSs) are becoming increasingly important due to continuous advances in mobile networks and positioning technologies. Nevertheless, the wide deployment of LBSs can jeopardize…

Cryptography and Security · Computer Science 2016-11-17 Lin Yao , Chi Lin , Xiangwei Kong , Feng Xia , Guowei Wu

Sharing sensitive data is vital in enabling many modern data analysis and machine learning tasks. However, current methods for data release are insufficiently accurate or granular to provide meaningful utility, and they carry a high risk of…

Databases · Computer Science 2021-08-25 Teddy Cunningham , Graham Cormode , Hakan Ferhatosmanoglu

We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

Databases · Computer Science 2016-10-03 Till Schäfer , Petra Mutzel

In this paper, we propose a simple algorithm to cluster nonnegative data lying in disjoint subspaces. We analyze its performance in relation to a certain measure of correlation between said subspaces. We use our clustering algorithm to…

Machine Learning · Statistics 2020-09-04 C. Strohmeier , D. Needell

Distributed optimization and learning has recently garnered great attention due to its wide applications in sensor networks, smart grids, machine learning, and so forth. Despite rapid development, existing distributed optimization and…

Machine Learning · Computer Science 2024-03-04 Ziqin Chen , Yongqiang Wang

We formulate a novel technique for the detection of functional clusters in discrete event data. The advantage of this algorithm is that no prior knowledge of the number of functional groups is needed, as our procedure progressively combines…

Neurons and Cognition · Quantitative Biology 2015-05-13 S. Feldt , J. Waddell , V. L. Hetrick , J. D. Berke , M. Zochowski