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Ensuring privacy with constrained additive noise by minimizing Fisher information
CSIROs Data61, Canberra, ACT, Australia.; Univ Melbourne, Dept Elect & Elect Engn, Melbourne, Vic, Australia..
KTH, School of Electrical Engineering and Computer Science (EECS), Automatic Control.ORCID iD: 0000-0003-1835-2963
2019 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 99, p. 275-288Article in journal (Refereed) Published
Abstract [en]

The problem of preserving the privacy of individual entries of a database when responding to linear or nonlinear queries with constrained additive noise is considered. For privacy protection, the response to the query is systematically corrupted with an additive random noise whose support is a subset or equal to a pre-defined constraint set. A measure of privacy using the inverse of the trace of the Fisher information matrix is developed. The Cramer-Rao bound relates the variance of any estimator of the database entries to the introduced privacy measure. The probability density that minimizes the trace of the Fisher information (as a proxy for maximizing the measure of privacy) is computed. An extension to dynamic problems is also presented. Finally, the results are compared to the differential privacy methodology. Crown Copyright

Place, publisher, year, edition, pages
PERGAMON-ELSEVIER SCIENCE LTD , 2019. Vol. 99, p. 275-288
Keywords [en]
Privacy, Additive constrained noise, Fisher information
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-242254DOI: 10.1016/j.automatica.2018.10.012ISI: 000454965300031Scopus ID: 2-s2.0-85056467557OAI: oai:DiVA.org:kth-242254DiVA, id: diva2:1284489
Conference
56th IEEE Annual Conference on Decision and Control (CDC), DEC 12-15, 2017, Melbourne, AUSTRALIA, ARKE BS, 1990, IEEE TRANSACTIONS ON INFORMATION THEORY, V36, P453
Note

QC 20190225

Available from: 2019-01-31 Created: 2019-01-31 Last updated: 2019-02-25Bibliographically approved

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Sandberg, Henrik

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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  • vancouver
  • Other style
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  • de-DE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
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  • asciidoc
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