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Reverse Mapping to Preserve the Marginal Distributions of Attributes in Masked Microdata

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Privacy in Statistical Databases (PSD 2014)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 8744))

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Abstract

In this paper we describe a new procedure that is capable of ensuring that the marginal distributions of attributes in microdata masked with a masking mechanism end up being the same as the marginal distributions of attributes in the original data. We illustrate the application of the new procedure using several commonly used masking mechanisms.

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References

  1. Cario, M.C., Nelson, B.L.: Modeling and Generating Random Vectors with arbitrary Marginal Distributions and Correlation Matrix. Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, IL (1997)

    Google Scholar 

  2. Chen, H.: Initialization for NORTA: Generation of Random Vectors with Specified Marginals and Correlations. INFORMS Journal on Computing 13, 312–331 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  3. Domingo-Ferrer, J.: Non-Perturbative Masking Methods. In: Liu, L., Ozsu, M.T. (eds.) Encyclopedia of Database Systems, pp. 1912–1913. Springer, US (2009)

    Google Scholar 

  4. Domingo-Ferrer, J., González-Nicolás, U.: Hybrid Microdata Using Microaggregation. Information Science 180, 2834–2844 (2010)

    Article  Google Scholar 

  5. Domingo-Ferrer, J., Torra, V.: A Quantitative Comparison of Disclosure Control Methods for Microdata. In: Doyle, P., Lane, J.I., Theeuwes, J.J.M., Zayatz, L.V. (eds.) Confidentiality, Disclosure, and Data Access: Theory and Practical Applications for Statistical Agencies, pp. 111–133. Elsevier, Amsterdam (2001)

    Google Scholar 

  6. Domingo-Ferrer, J., Sanchez, D., Rufian-Torrell, G.: Anonymization of Nominal Data Based on Semantic Marginality. Information Science 242, 35–48 (2013)

    Article  Google Scholar 

  7. Drechsler, J., Bender, S., Rassler, S.: Comparing Fully and Partially Synthetic Datasets for Statistical Disclosure Control in the German IAB Establishment Panel. Transactions on Data Privacy 1, 105–130 (2008)

    MathSciNet  Google Scholar 

  8. Hundepool, A., Domingo-Ferrer, J., Franconi, L., Giessing, S., Nordholt, E.S., Spicer, K., de Wolf, P.-P.: Statistical Disclosure Control. John Wiley & Sons, West Sussex (2012)

    Book  Google Scholar 

  9. Moore, R.A.: Controlled Data Swapping for Masking Public Use Microdata Sets. Washington DC: Research report series (RR96/04), Statistical Research Division, US Census Bureau (1996)

    Google Scholar 

  10. Muralidhar, K., Sarathy, R.: Data Shuffling: A New Masking Approach for Numerical Data. Management Scienc 52, 658–670 (2006)

    Article  Google Scholar 

  11. Nin, J., Herranz, J., Torra, V.: Rethinking Rank Swapping to Decrease Disclosure Risk. Data & Knowledge Engineering 64, 346–364 (2008)

    Article  Google Scholar 

  12. Raghunathan, T.E., Reiter, J.P., Rubin, D.B.: Multiple Imputation for Statistical Disclosure Limitation. Journal of Official Statistics 19, 1–16 (2003)

    Google Scholar 

  13. Sebé, F., Domingo-Ferrer, J., Mateo-Sanz, J.M., Torra, V.: Post-Masking Optimization of the Tradeoff between Information Loss and Disclosure Risk in Masked Microdata. In: Domingo-Ferrer, J. (ed.) Inference Control in Statistical Databases, pp. 163–171. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  14. Simpson, G.R.: The 2000 Count: Bureau Blurs Data to Keep Names Confidential. Wall Street Journal 14, B1–B2 (2001)

    Google Scholar 

  15. Sklar, A.: Fonctions de répartition à n dimensions et leurs marges. Publications de l’Institut de Statistique de L’Université de Paris 8, 229–231 (1959)

    MathSciNet  Google Scholar 

  16. Soria-Comas, J., Domingo-Ferrer, J.: Probabilistic k-anonymity through microaggregation and data swapping. In: IEEE International Conference on Fuzzy Systems, pp. 1–8. IEEE, Brisbane (2012)

    Google Scholar 

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Muralidhar, K., Sarathy, R., Domingo-Ferrer, J. (2014). Reverse Mapping to Preserve the Marginal Distributions of Attributes in Masked Microdata. In: Domingo-Ferrer, J. (eds) Privacy in Statistical Databases. PSD 2014. Lecture Notes in Computer Science, vol 8744. Springer, Cham. https://doi.org/10.1007/978-3-319-11257-2_9

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  • DOI: https://doi.org/10.1007/978-3-319-11257-2_9

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11256-5

  • Online ISBN: 978-3-319-11257-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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