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The explosion in volume and variety of data offers enormous potential for research and commercial use. Increased availability of personal data is of particular interest in enabling highly customised services tuned to individual needs.…

Cryptography and Security · Computer Science 2017-10-05 Naoise Holohan , Spiros Antonatos , Stefano Braghin , Pól Mac Aonghusa

This paper deals with the problem of finding, for a given graph and a given natural number k, a subgraph of k nodes with a maximum number of edges. This problem is known as the k-cluster problem and it is NP-hard on general graphs as well…

Data Structures and Algorithms · Computer Science 2011-11-09 George B. Mertzios

We study the problem of differentially private optimization with linear constraints when the right-hand-side of the constraints depends on private data. This type of problem appears in many applications, especially resource allocation.…

Machine Learning · Computer Science 2020-11-05 Andrés Muñoz Medina , Umar Syed , Sergei Vassilvitskii , Ellen Vitercik

In the differentially private top-$k$ selection problem, we are given a dataset $X \in \{\pm 1\}^{n \times d}$, in which each row belongs to an individual and each column corresponds to some binary attribute, and our goal is to find a set…

Data Structures and Algorithms · Computer Science 2017-02-13 Mitali Bafna , Jonathan Ullman

Data anonymization is an approach to privacy-preserving data release aimed at preventing participants reidentification, and it is an important alternative to differential privacy in applications that cannot tolerate noisy data. Existing…

Data Structures and Algorithms · Computer Science 2022-01-31 Gecia Bravo-Hermsdorff , Robert Busa-Fekete , Lee M. Gunderson , Andrés Munõz Medina , Umar Syed

In this paper, we consider the $k$-approximate pattern matching problem under differential privacy, where the goal is to report or count all substrings of a given string $S$ which have a Hamming distance at most $k$ to a pattern $P$, or…

Data Structures and Algorithms · Computer Science 2023-11-14 Teresa Anna Steiner

The problem of the release of anonymized microdata is an important topic in the fields of statistical disclosure control (SDC) and privacy preserving data publishing (PPDP), and yet it remains sufficiently unsolved. In these research…

Cryptography and Security · Computer Science 2015-04-22 Dai Ikarashi , Ryo Kikuchi , Koji Chida , Katsumi Takahashi

A face image not only provides details about the identity of a subject but also reveals several attributes such as gender, race, sexual orientation, and age. Advancements in machine learning algorithms and popularity of sharing images on…

Computer Vision and Pattern Recognition · Computer Science 2018-10-01 Saheb Chhabra , Richa Singh , Mayank Vatsa , Gaurav Gupta

Consider the following problem: given a metric space, some of whose points are "clients", open a set of at most $k$ facilities to minimize the average distance from the clients to these facilities. This is just the well-studied $k$-median…

Data Structures and Algorithms · Computer Science 2009-11-11 Anupam Gupta , Katrina Ligett , Frank McSherry , Aaron Roth , Kunal Talwar

Preserving the privacy of individuals by protecting their sensitive attributes is an important consideration during microdata release. However, it is equally important to preserve the quality or utility of the data for at least some…

Machine Learning · Statistics 2017-11-07 Dennis Wei , Karthikeyan Natesan Ramamurthy , Kush R. Varshney

Big data is a term used for a very large data sets that have many difficulties in storing and processing the data. Analysis this much amount of data will lead to information loss. The main goal of this paper is to share data in a way that…

Cryptography and Security · Computer Science 2018-08-14 Jalpesh Vasa , Panthini Modi

Ensuring fairness in machine learning algorithms is a challenging and essential task. We consider the problem of clustering a set of points while satisfying fairness constraints. While there have been several attempts to capture group…

Machine Learning · Computer Science 2023-02-07 Debajyoti Kar , Mert Kosan , Debmalya Mandal , Sourav Medya , Arlei Silva , Palash Dey , Swagato Sanyal

This paper studies the problem of clustering in metric spaces while preserving the privacy of individual data. Specifically, we examine differentially private variants of the k-medians and Euclidean k-means problems. We present polynomial…

Data Structures and Algorithms · Computer Science 2020-08-31 Matthew Jones , Huy Lê Nguyen , Thy Nguyen

Block Sorting is a well studied problem, motivated by its applications in Optical Character Recognition (OCR), and Computational Biology. Block Sorting has been shown to be NP-Hard, and two separate polynomial time 2-approximation…

Computational Complexity · Computer Science 2011-10-06 N. S. Narayanaswamy , Swapnoneel Roy

It was recently observed in [1], that in index coding, learning the coding matrix used by the server can pose privacy concerns: curious clients can extract information about the requests and side information of other clients. One approach…

Information Theory · Computer Science 2018-10-16 Mohammed Karmoose , Linqi Song , Martina Cardone , Christina Fragouli

Group based anonymization is the most widely studied approach for privacy preserving data publishing. This includes k-anonymity, l-diversity, and t-closeness, to name a few. The goal of this paper is to raise a fundamental issue on the…

Databases · Computer Science 2009-05-13 Raymond Chi-Wing Wong , Ada Wai-Chee Fu , Ke Wang , Yabo Xu , Philip S. Yu

We design a new algorithm for the Euclidean $k$-means problem that operates in the local model of differential privacy. Unlike in the non-private literature, differentially private algorithms for the $k$-means objective incur both additive…

Machine Learning · Computer Science 2021-06-29 Uri Stemmer

In data summarization we want to choose $k$ prototypes in order to summarize a data set. We study a setting where the data set comprises several demographic groups and we are restricted to choose $k_i$ prototypes belonging to group $i$. A…

Machine Learning · Statistics 2019-05-14 Matthäus Kleindessner , Pranjal Awasthi , Jamie Morgenstern

Web query log data contain information useful to research; however, release of such data can re-identify the search engine users issuing the queries. These privacy concerns go far beyond removing explicitly identifying information such as…

Databases · Computer Science 2010-12-06 Amin Milani Fard , Ke Wang

The curse of dimensionality has remained a challenge for a wide variety of algorithms in data mining, clustering, classification and privacy. Recently, it was shown that an increasing dimensionality makes the data resistant to effective…

Databases · Computer Science 2014-01-07 Hessam Zakerzadeh , Charu C. Aggrawal , Ken Barker