An algorithm for k-anonymous microaggregation and clustering inspired by the design of distortion-optimized quantizers

Data and Knowledge Engineering

Volumn 70, Issue 10, 2011, Pages 892-921

  Rebollo Monedero, David ^a   Forné, Jordi ^a   Soriano, Miguel ^a,b  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b CENTRE TECNOLÒGIC DE TELECOMUNICACIONS DE CATALUNYA CTTC   (Spain)

Author keywords

Anonymous microaggregation; Distortion optimized quantizer design; k Anonymity; k Means method; Lloyd algorithm; Location based services; MDAV; Privacy

Indexed keywords

K-ANONYMITY; K-MEANS METHOD; LLOYD ALGORITHM; LOCATION-BASED SERVICES; MDAV; MICROAGGREGATION; QUANTIZER DESIGN;

DATA PRIVACY; DATABASE SYSTEMS; DESIGN; OPTIMIZATION;

CLUSTERING ALGORITHMS;

EID: 80051799598     PISSN: 0169023X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.datak.2011.06.005     Document Type: Article

References (87)

1. D. Rebollo-Monedero, J. Forné, and M. Soriano Private location-based information retrieval via k-anonymous clustering Proc. CNIT Int. Workshop Digit. Commun., ser. Lecture Notes Comput. Sci. (LNCS) Sep. 2009 Springer-Verlag Sardinia, Italy invited paper.
2. S.P. Lloyd Least squares quantization in PCM IEEE Trans. Inform. Theory IT-28 Mar. 1982 129 137
3. J. Max Quantizing for minimum distortion IEEE Trans. Inform. Theory 6 1 Mar. 1960 7 12
4. D. Marquardt An algorithm for least-squares estimation of nonlinear parameters SIAM J. Appl. Math. (SIAP) 11 1963 431 441
5. P. Samarati, and L. Sweeney Protecting privacy when disclosing information: k-anonymity and its enforcement through generalization and suppression SRI Int., Tech. Rep. 1998
6. P. Samarati Protecting respondents' identities in microdata release IEEE Trans. Knowl. Data Eng. 13 6 2001 1010 1027 (Pubitemid 34035590)
7. L. Sweeney k-Anonymity: a model for protecting privacy Int. J. Uncertain., Fuzz., Knowl.-Based Syst. 10 5 2002 557 570 (Pubitemid 35384857)
8. D. Defays, and P. Nanopoulos Panels of enterprises and confidentiality: the small aggregates method Proc. Symp. Design, Anal. Longitudinal Surveys, Stat. Canada, Ottawa, Canada 1993 195 204
9. J. Domingo-Ferrer, and J.M. Mateo-Sanz Practical data-oriented microaggregation for statistical disclosure control IEEE Trans. Knowl. Data Eng. 14 1 2002 189 201 (Pubitemid 34198203)
10. J. Domingo-Ferrer, and V. Torra Ordinal, continuous and heterogenerous k-anonymity through microaggregation Data Min., Knowl. Disc. 11 2 2005 195 212 (Pubitemid 41476765)
11. J. Domingo-Ferrer, F. Sebé, and A. Solanas A polynomial-time approximation to optimal multivariate microaggregation Elsevier Comput., Math. with Appl. 55 4 Feb. 2008 714 732
12. A. Oganian, and J. Domingo-Ferrer On the complexity of optimal microaggregation for statistical disclosure control UNECE Stat. J. 18 4 Apr. 2001 345 354
13. J. Domingo-Ferrer, A. Martínez-Ballesté, J.M. Mateo-Sanz, and F. Sebé Efficient multivariate data-oriented microaggregation VLDB J. 15 4 2006 355 369
14. A. Hundepool, R. Ramaswamy, P.-P. DeWolf, L. Franconi, R. Brand, and J. Domingo-Ferrer μ-ARGUS version 4.1 software and user's manual 2007 Voorburg Netherlands http://neon.vb.cbs.nl/casc [Online]. Available
15. M. Templ Statistical disclosure control for microdata using the R-package sdcMicro Trans. Data Privacy 1 2 2008 67 85 http://cran.r-project.org/web/ packages/sdcMicro [Online]. Available
16. M. Laszlo, and S. Mukherjee Minimum spanning tree partitioning algorithm for microaggregation IEEE Trans. Knowl. Data Eng. 17 7 Jul. 2005 902 911 (Pubitemid 41049864)
17. A. Solanas, A. Martínez-Ballesté, and J. Domingo-Ferrer VMDAV: a multivariate microaggregation with variable group size Proc. Comput. Stat. (COMPSTAT) 2006 Springer-Verlag Rome, Italy
18. C. Chin-chen, L. Yu-chiang, and H. Wen-huang TFRP: an efficient microaggregation algorithm for statistical disclosure control Elsevier J. Syst., Softw. 80 11 Nov. 2007 1866 1878
19. J. Nin, J. Herranz, and V. Torra On the disclosure risk of multivariate microaggregation Elsevier Data, Knowl. Eng. 67 3 2008 399 412
20. T.M. Truta, and B. Vinay Privacy protection: p-sensitive k-anonymity property Proc. Int. Workshop Privacy Data Manage. (PDM) 2006 Atlanta, GA 94
21. X. Sun, H. Wang, J. Li, and T.M. Truta Enhanced p-sensitive k-anonymity models for privacy preserving data publishing Trans. Data Privacy 1 2 2008 53 66
22. A. Machanavajjhala, J. Gehrke, D. Kiefer, and M. Venkitasubramanian l-Diversity: privacy beyond k-anonymity Proc. IEEE Int. Conf. Data Eng. (ICDE) 2006 Atlanta, GA, Apr 24
23. H. Jian-min, C. Ting-ting, and Y. Hui-qun An improved V-MDAV algorithm for l-diversity Proc. IEEE Int. Symp. Inform. Processing (ISIP), Moscow, Russia May 2008 733 739
24. N. Li, T. Li, and S. Venkatasubramanian t-Closeness: privacy beyond k-anonymity and l-diversity Proc. IEEE Int. Conf. Data Eng. (ICDE), Istanbul, Turkey Apr. 2007 106 115 (Pubitemid 47422014)
25. J. Domingo-Ferrer, and V. Torra A critique of k-anonymity and some of its enhancements Proc. Workshop Privacy, Security, Artif. Intell. (PSAI), Barcelona, Spain 2008 990 993
26. D. Rebollo-Monedero, J. Forné, and J. Domingo-Ferrer From t-closeness-like privacy to postrandomization via information theory IEEE Trans. Knowl. Data Eng. 22 11 Nov. 2010 1623 1636 http://doi.ieeecomputersociety.org/ 10.1109/TKDE.2009.190 [Online]. Available
27. D. Rebollo-Monedero, J. Forné, and J. Domingo-Ferrer From t-closeness to PRAM and noise addition via information theory Privacy Stat. Databases (PSD), ser. Lecture Notes Comput. Sci. (LNCS) Sep. 2008 Springer-Verlag Istambul, Turkey 100 112
28. C.E. Shannon Communication theory of secrecy systems Bell Syst., Tech. J. 1949
29. C.E. Shannon Coding theorems for a discrete source with a fidelity criterion IRE Nat. Conv. Rec 7 1959 142 163 Part 4
30. A. Evfimievski, J. Gehrke, and R. Srikant Limiting privacy breaches in privacy preserving data mining Proc. ACM Symp. Prin. Database Syst. (PODS), San Diego, CA 2003 211 222
31. D. Rebollo-Monedero, and J. Forné How do we measure privacy? Upgrade J. XI 1 Feb. 2010 53 58
32. D. Rebollo-Monedero, and J. Forné Optimal query forgery for private information retrieval IEEE Trans. Inform. Theory 56 9 2010 4631 4642
33. J. Brickell, and V. Shmatikov The cost of privacy: destruction of data-mining utility in anonymized data publishing Proc. ACM SIGKDD Int. Conf. Knowl. Disc., Data Min. (KDD), Las Vegas, NV Aug. 2008
34. D. Chaum Security without identification: transaction systems to make big brother obsolete Commun. ACM 28 10 Oct. 1985 1030 1044 (Pubitemid 15587967)
35. V. Benjumea, J. López, and J.M.T. Linero Specification of a framework for the anonymous use of privileges Elsevier Telemat., Informat. 23 3 Aug. 2006 179 195
36. G. Bianchi, M. Bonola, V. Falletta, F.S. Proto, and S. Teofili The SPARTA pseudonym and authorization system Elsevier Sci. Comput. Program. 74 1-2 2008 23 33
37. M. Gruteser, and D. Grunwald Anonymous usage of location-based services through spatial and temporal cloaking Proc. ACM Int. Conf. Mob. Syst., Appl., Serv. (MobiSys) May 2003 ACM San Francisco, CA 31 42
38. M. Duckham, K. Mason, J. Stell, and M. Worboys A formal approach to imperfection in geographic information Elsevier Comput., Environ., Urban Syst. 25 1 2001 89 103 (Pubitemid 32337731)
39. M. Duckham, and L. Kulit A formal model of obfuscation and negotiation for location privacy Proc. Int. Conf. Pervas. Comput., ser. Lecture Notes Comput. Sci. (LNCS) vol. 3468 May 2005 Springer-Verlag Munich, Germany 152 170 (Pubitemid 41313330)
40. C.A. Ardagna, M. Cremonini, E. Damiani, S. De Capitani di Vimercati, and P. Samarati Location privacy protection through obfuscation-based techniques Proc. Annual IFIP Working Conf. Data Appl. Security, ser. Lecture Notes Comput. Sci. (LNCS) vol. 4602 Jul. 2007 Springer-Verlag Redondo Beach, CA 47 60
41. M.L. Yiu, C.S. Jensen, X. Huang, and H. Lu SpaceTwist: managing the trade-offs among location privacy, query performance, and query accuracy in mobile services Proc. IEEE Int. Conf. Data Eng. (ICDE), Cancun, Mexico Apr. 2008 366 375
42. S. Mascetti, D. Freni, C. Bettini, X.S. Wang, and S. Jajodia On the impact of user movement simulations in the evaluation of LBS privacy-preserving techniques Proc. Int. Workshop Privacy Locat.-Based Appl. (PiLBA), Málaga, Spain Oct. 2008 61 81
43. C. Chow, M.F. Mokbel, and X. Liu A peer-to-peer spatial cloaking algorithm for anonymous location-based services Proc. ACM Int. Symp. Adv. Geogr. Inform. Syst. (GIS), Arlington, VA Nov. 2006 171 178 (Pubitemid 47168545)
44. J. Domingo-Ferrer Microaggregation for database and location privacy Proc. Int. Workshop Next-Gen. Inform. Technol., Syst. (NGITS), ser. Lecture Notes Comput. Sci. (LNCS) vol. 4032 Jul. 2006 Springer-Verlag Kibbutz Shefayim, Israel 106 116 (Pubitemid 44204358)
45. A. Solanas, and A. Martínez-Ballesté A TTP-free protocol for location privacy in location-based services Elsevier Comput. Commun. 31 6 Apr. 2008 1181 1191
46. G. Ghinita, P. Kalnis, A. Khoshgozaran, C. Shahabi, and K.-L. Tan Private queries in location based services: anonymizers are not necessary Proc. ACM SIGMOD Int. Conf. Manage. Data, Vancouver, Canada Jun. 2008 121 132
47. R. Ostrovsky, and W.E. Skeith III A survey of single-database PIR: techniques and applications Proc. Int. Conf. Practice, Theory Public-Key Cryptogr. (PKC), ser. Lecture Notes Comput. Sci. (LNCS) vol. 4450 Sep. 2007 Springer-Verlag Beijing, China 393 411
48. T. Kuflik, B. Shapira, Y. Elovici, and A. Maschiach Privacy preservation improvement by learning optimal profile generation rate User Modeling, ser. Lecture Notes Comput. Sci. (LNCS) vol. 2702 2003 Springer-Verlag 168 177 (Pubitemid 36768562)
49. Y. Elovici, C. Glezer, and B. Shapira Enhancing customer privacy while searching for products and services on the World Wide Web Internet Res. 15 4 2005 378 399 (Pubitemid 41314574)
50. B. Shapira, Y. Elovici, A. Meshiach, and T. Kuflik PRAW - the model for PRivAte Web J. Amer. Soc. Inform. Sci., Technol. 56 2 2005 159 172
51. H. Kido, Y. Yanagisawa, and T. Satoh Protection of location privacy using dummies for location-based services Proc. IEEE Int. Conf. Data Eng. (ICDE), Washington, DC Oct. 2005 1248
52. D.C. Howe, and H. Nissenbaum Lessons from the identity trail: privacy, anonymity and identity in a networked society ch. TrackMeNot: Resisting surveillance in web search 2006 Oxford Univ. Press NY http://mrl.nyu.edu/dhowe/ trackmenot [Online]. Available
53. V. Toubiana SquiggleSR http://www.squigglesr.com 2007 [Online]. Available
54. C. Soghoian The problem of anonymous vanity searches I/S: J. Law, Policy Inform. Soc. (ISJLP) Jan. 2007
55. M.F. Mokbel Towards privacy-aware location-based database servers Proc. IEEE Int. Conf. Data Eng. Workshops (PDM), Atlanta, GA 2006 93
56. O. Abul, F. Bonchi, and M. Nanni Never walk alone: uncertainty for anonymity in moving objects databases Proc. IEEE Int. Conf. Data Eng. (ICDE), Cancun, Mexico Apr. 2008 366 375
57. B. Gedik, and L. Liu A customizable k-anonymity model for protecting location privacy Proc. IEEE Int. Conf. Distrib. Comput. Syst. (ICDS), Columbus, OH Jun. 2005 620 629
58. R. Cheng, Y. Zhang, E. Bertino, and S. Prabhakar Preserving user location privacy in mobile data management infrastructures Proc. Workshop Privacy Enhanc. Technol. (PET) ser. Lecture Notes Comput. Sci. (LNCS) vol. 4258 2006 Springer-Verlag Cambridge, United Kingdom 393 412
59. B. Gedik, and L. Liu Protecting location privacy with personalized k-anonymity: architecture and algorithms IEEE Trans. Mob. Comput. 7 1 Jan. 2008 1 18 (Pubitemid 350183929)
60. B. Bamba, L. Liu, P. Pesti, and T. Wang Supporting anonymous location queries in mobile environments with PrivacyGrid Proc. Int. WWW Conf., Beijing, China Apr. 2008 237 246
61. B. Hoh, M. Gruteser, H. Xiong, and A. Alrabady Enhancing security and privacy in traffc-monitoring systems IEEE Pervas. Comput. Mag., Special Issue Intell. Transport. Syst. 5 4 2006
62. G. Zhong, and U. Hengartner A distributed k-anonymity protocol for location privacy Proc. IEEE Int. Conf. Pervas. Comput., Commun. (PerCom), Galveston, TX Mar. 2009 253 262
63. D. Rebollo-Monedero, J. Forné, A. Solanas, and T. Martínez-Ballesté Private location-based information retrieval through user collaboration Elsevier Comput. Commun. 33 6 2010 762 774 http://dx.doi.org/10.1016/j.comcom.2009.11.024 [Online]. Available
64. D. Rebollo-Monedero, J. Forné, L. Subirats, A. Solanas, and A. Martínez-Ballesté A collaborative protocol for private retrieval of location-based information Proc. IADIS Int. Conf. e-Society, Barcelona, Spain Feb. 2009
65. A. Gersho, and R.M. Gray Vector Quantization and Signal Compression 1992 Kluwer Academic Publishers Boston, MA
66. R.M. Gray, and D.L. Neuhoff Quantization IEEE Trans. Inform. Theory 44 Oct. 1998 2325 2383
67. J. B. MacQueen, "Some methods for classification and analysis of multivariate observations," in Proc. Berkeley Symp. Math. Stat., Prob., vol. I (Statistics), Berkeley, CA, 1965-1966 (symposium), 1967 (proceedings), pp. 281-297.
68. H. Steinhaus Sur la division des corps matériels en parties Bull. Pol. Acad. Sci. IV 12 Mar. 1956 801 804
69. V.K. Goyal Theoretical foundations of transform coding IEEE Signal Processing Mag. 18 5 Sep. 2001 9 21 (Pubitemid 32932331)
70. J.-R. Ohm Three-dimensional subband coding with motion compensation IEEE Trans. Image Processing 3 5 Sep. 1994 559 571
71. R. Krishnamoorthy, and J. Kalpana Minimum distortion clustering technique for orthogonal polynomials transform vector quantizer Proc. ACM Int. Conf. Commun., Comput., Security (ICCCS), Rourkela, India Feb. 2011 443 448
72. D. Rebollo-Monedero, "Quantization and transforms for distributed source coding," Ph.D. dissertation, Stanford Univ., 2007.
73. M. Dickerson, D. Eppstein, and K.A. Wortman Planar Voronoi diagrams for sums of convex functions, smoothed distance and dilation Proc. Int. Symp. Voronoi Diag. Sci., Eng. (ISVD), Quebec, Canada Jun. 2010 13 22
74. C. Luo, Y. Li, and S.M. Chung Text document clustering based on neighbors Elsevier Data, Knowl. Eng. 68 11 Nov. 2009 1271 1288
75. A. Kalogeratos, and A. Likas Document clustering using synthetic cluster prototypes Elsevier Data, Knowl. Eng. 70 3 Mar. 2011 284 306
76. A. Björck Numerical Methods for Least Squares Problems 1996 SIAM Philadelphia, PA
77. D.G. Luenberger, and Y. Ye Linear and Nonlinear Programming 3rd ed 2008 Springer New York
78. M. Sabin, and R.M. Gray Global convergence and empirical consistency of the generalized Lloyd algorithm IEEE Trans. Inform. Theory IT-32, no. 2 Mar. 1986 148 155 (Pubitemid 16613622)
79. G. Lugosi, and A.B. Nobel Consistency of data-driven histogram methods for density estimation and classification Beckman Inst., Univ. of Illinoi, Tech. Rep. 1993 uIUC-BI-93-01.
80. E.B. Kosmatopoulos, and M.A. Christodoulou Convergence properties of a class of learning vector quantization algorithms IEEE Trans. Image Processing 5 2 Feb. 1996 361 368 (Pubitemid 126777648)
81. J.J. Moré The Levenberg-Marquardt algorithm: Implementation and theory G.A. Watson, Numerical Analysis, ser. Lecture Notes Math vol. 630 1977 Springer-Verlag 105 116
82. K. Ueda, and N. Yamashita On a global complexity bound of the Levenberg-Marquardt method J. Optim. Theory, Appl. 147 2010 443 453
83. J. Cao, B. Carminati, E. Ferrari, and K. Tan CASTLE: continuously anonymizing data streams IEEE Trans. Depend., Secure Comput. 99 2009
84. D.E. Burmaster, and D.M. Murray A trivariate distribution for the height, weight, and fat of adult men Risk Anal. 18 4 1998 385 389
85. J.H. Conway, and N.J.A. Sloane Sphere Packings, Lattices and Groups 1993 Springer Berlin, Germany
86. CASC, "Computational Aspects of Statistical Confidentiality project," European project IST-2000-25069 CASC, Tech. Rep., 2001-2004. [Online]. Available: http://neon.vb.cbs.nl/casc
87. A. Hundepool The CASC project Privacy Stat. Databases (PSD), ser. Lecture Notes Comput. Sci. (LNCS) vol. 3050 Jun. 2004 Springer-Verlag Barcelona, Spain 199 212