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This paper delves into the intricate landscape of privacy notions, specifically honed in on the local setting. Central to our discussion is the juxtaposition of point-wise protection and average-case protection, offering a comparative…

Cryptography and Security · Computer Science 2023-08-29 Nan Wang , Likun Qin , Tianshuo Qiu

This paper introduces semiopen and semiclosed soft sets in soft topological spaces. The notions of interior and closure are generalized using these sets. A detail study is carried out on properties of semiopen, semiclosed soft sets, semi…

General Topology · Mathematics 2012-03-20 J. Mahanta , P. K. Das

Theories of rough sets and soft sets are powerful mathematical tools for modelling various types of vagueness. Hybrid model combining a rough set with a soft set which is called soft rough set proposed by Feng et al. [3] in 2010. In this…

General Mathematics · Mathematics 2015-03-30 Naime Tozlu , Saziye Yuksel , Tugba Han Simsekler

In this paper, a new kind of soft sets related with some common decision making problems in real life called central soft sets is introduced. Properties of some basic operations on central soft sets are shown. It is investigated that some…

Logic in Computer Science · Computer Science 2015-06-10 Xuechong Guan

Feature selection is the process of sieving features, in which informative features are separated from the redundant and irrelevant ones. This process plays an important role in machine learning, data mining and bioinformatics. However,…

Cryptography and Security · Computer Science 2020-08-19 Javad Rahimipour Anaraki , Saeed Samet

As large-scale theft of data from corporate servers is becoming increasingly common, it becomes interesting to examine alternatives to the paradigm of centralizing sensitive data into large databases. Instead, one could use cryptography and…

Artificial Intelligence · Computer Science 2014-07-15 Thomas Leaute , Boi Faltings

The concept of typed topological space is introduced, for which open sets in a topology on a finite set will be assigned types (from lattice). The neighborhood system of a point, the closure and the connectedness can be defined according to…

General Topology · Mathematics 2018-04-13 Wanjun Hu

Ensuring privacy of sensitive data is essential in many contexts, such as healthcare data, banks, e-commerce, wireless sensor networks, and social networks. It is common that different entities coordinate or want to rely on a third party to…

Cryptography and Security · Computer Science 2014-06-16 Pradeep Chathuranga Weeraddana , George Athanasiou , Martin Jakobsson , Carlo Fischione , John S. Baras

Defining privacy and related notions such as Personal Identifiable Information (PII) is a central notion in computer science and other fields. The theoretical, technological, and application aspects of PII require a framework that provides…

Computers and Society · Computer Science 2018-03-28 Sabah S. Al-Fedaghi

Existing work on privacy by design mostly focus on technologies rather than methodologies and on components rather than architectures. In this paper, we advocate the idea that privacy by design should also be addressed at the architectural…

Cryptography and Security · Computer Science 2014-10-02 Thibaud Antignac , Daniel Le Métayer

Molodstov[10] introduced soft set theory as a new mathematical approach for solving problems having uncertainties. Many researchers worked on the findings of structures of soft set theory and applied to many problems having uncertainties.…

General Mathematics · Mathematics 2014-09-12 Sabir Hussain

In this paper, we initiate the systematic study of solving linear programs under differential privacy. The first step is simply to define the problem: to this end, we introduce several natural classes of private linear programs that capture…

Data Structures and Algorithms · Computer Science 2018-03-16 Justin Hsu , Aaron Roth , Tim Roughgarden , Jonathan Ullman

In real-world settings involving consequential decision-making, the deployment of machine learning systems generally requires both reliable uncertainty quantification and protection of individuals' privacy. We present a framework that…

Machine Learning · Computer Science 2024-03-05 Anastasios N. Angelopoulos , Stephen Bates , Tijana Zrnic , Michael I. Jordan

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…

Optimization and Control · Mathematics 2017-10-04 Matthew T. Hale

Privacy-preserving distributed processing has recently attracted considerable attention. It aims to design solutions for conducting signal processing tasks over networks in a decentralized fashion without violating privacy. Many algorithms…

Cryptography and Security · Computer Science 2020-09-03 Qiongxiu Li , Jaron Skovsted Gundersen , Richard Heusdens , Mads Græsbøll Christensen

In this paper, we introduce semiopen and semiclosed fuzzy soft sets in fuzzy soft topological spaces. Various properties of these sets are studied alongwith some characterizations. Further, we generalize the structures like interior and…

General Mathematics · Mathematics 2014-03-17 Juthika Mahanta

Formal methods are, in principle, suited for supporting the recent paradigm of privacy by design, but no overview is available that summarizes which particular approaches have been investigated, for which application domains they are…

Cryptography and Security · Computer Science 2019-03-28 Sibylle Schupp

It was observed in \citet{gupta2009differentially} that the Set Cover problem has strong impossibility results under differential privacy. In our work, we observe that these hardness results dissolve when we turn to the Partial Set Cover…

Data Structures and Algorithms · Computer Science 2023-08-22 George Z. Li , Dung Nguyen , Anil Vullikanti

Embeddings, which compress information in raw text into semantics-preserving low-dimensional vectors, have been widely adopted for their efficacy. However, recent research has shown that embeddings can potentially leak private information…

Computation and Language · Computer Science 2022-10-07 Garam Lee , Minsoo Kim , Jai Hyun Park , Seung-won Hwang , Jung Hee Cheon

We develop theory for using heuristics to solve computationally hard problems in differential privacy. Heuristic approaches have enjoyed tremendous success in machine learning, for which performance can be empirically evaluated. However,…

Machine Learning · Computer Science 2018-11-20 Seth Neel , Aaron Roth , Zhiwei Steven Wu
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