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Quadratic interior-point methods in statistical disclosure control

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  • Jordi Castro

Abstract

The safe dissemination of statistical tabular data is one of the main concerns of National Statistical Institutes (NSIs). Although each cell of the tables is made up of the aggregated information of several individuals, the statistical confidentiality can be violated. NSIs must guarantee that no individual information can be derived from the released tables. One widely used type of methods to reduce the disclosure risk is based on the perturbation of the cell values. We consider a new controlled perturbation method which, given a set of tables to be protected, finds the closest safe ones - thus reducing the information loss while preserving confidentiality. This approach means solving a quadratic optimization problem with a much larger number of variables than constraints. Real instances can provide problems with millions of variables. We show that interior-point methods are an effective choice for that model, and, also, that specialized algorithms which exploit the problem structure can be faster than state-of-the art general solvers. Computational results are presented for instances of up to 1000000 variables. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Jordi Castro, 2005. "Quadratic interior-point methods in statistical disclosure control," Computational Management Science, Springer, vol. 2(2), pages 107-121, March.
    • Handle: RePEc:spr:comgts:v:2:y:2005:i:2:p:107-121
    DOI: 10.1007/s10287-004-0029-2
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    Cited by:

    1. Castro, Jordi, 2012. "Recent advances in optimization techniques for statistical tabular data protection," European Journal of Operational Research, Elsevier, vol. 216(2), pages 257-269.
    2. Jordi Castro & Jordi Cuesta, 2013. "Solving L 1 -CTA in 3D tables by an interior-point method for primal block-angular problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(1), pages 25-47, April.
    3. Bocanegra, Silvana & Castro, Jordi & Oliveira, Aurelio R.L., 2013. "Improving an interior-point approach for large block-angular problems by hybrid preconditioners," European Journal of Operational Research, Elsevier, vol. 231(2), pages 263-273.

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