The identity management problem — A short survey

The identity management problem is the problem of probabilistically keeping track of the association between target tracks and target identities, based on observations made by sensors. Updates of the belief state can happen because of new sensor observations reflecting on target identity, or because targets come near each other so that their identities become confused or mixed. Since the space of all possible associations grows factorially with the number of targets, it becomes important to find compact representations for distributions over associations and efficient implementations of the associated filter operations. In this note we introduce and describe the identity management problem and then place in context and briefly survey some the earlier work on this problem by us and others.

[1]  Leonidas J. Guibas,et al.  Efficient Inference for Distributions on Permutations , 2007, NIPS.

[2]  Leonidas J. Guibas,et al.  A Distributed Algorithm for Managing Multi-target Identities in Wireless Ad-hoc Sensor Networks , 2003, IPSN.

[3]  Aubrey B. Poore,et al.  Multidimensional Assignments and Multitarget Tracking , 1993, Partitioning Data Sets.

[4]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[5]  Alan S. Willsky,et al.  On the Algebraic Structure of Certain Partially Observable Finite-State Markov Processes , 1978, Inf. Control..

[6]  Sebastian Thrun,et al.  Particle Filters in Robotics , 2002, UAI.

[7]  Y. Bar-Shalom Tracking and data association , 1988 .

[8]  Kunle Olukotun,et al.  The Information-Form Data Association Filter , 2005, NIPS.

[9]  A. Terras Fourier Analysis on Finite Groups and Applications: Index , 1999 .

[10]  K. G. Murty An Algorithm for Ranking All the Assignment in Order of Increasing Cost , 1968 .

[11]  D. Rockmore,et al.  Nonlinear approximation theory on finite groups , 1999 .

[12]  Feng Zhao,et al.  RoamHBA: maintaining group connectivity in sensor networks , 2004, Third International Symposium on Information Processing in Sensor Networks, 2004. IPSN 2004.

[13]  Mohinder S. Grewal,et al.  Kalman Filtering: Theory and Practice Using MATLAB , 2001 .

[14]  T. Inui,et al.  The Symmetric Group , 1990 .

[15]  Leonidas J. Guibas,et al.  Lazy inference on object identities in wireless sensor networks , 2005, IPSN 2005. Fourth International Symposium on Information Processing in Sensor Networks, 2005..

[16]  Ingemar J. Cox,et al.  An Efficient Implementation of Reid's Multiple Hypothesis Tracking Algorithm and Its Evaluation for the Purpose of Visual Tracking , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[17]  Neil J. Gordon,et al.  Editors: Sequential Monte Carlo Methods in Practice , 2001 .

[18]  Timothy J. Robinson,et al.  Sequential Monte Carlo Methods in Practice , 2003 .

[19]  P. Diaconis Group representations in probability and statistics , 1988 .

[20]  Jun S. Liu,et al.  Sequential Monte Carlo methods for dynamic systems , 1997 .

[21]  J. B. Collins,et al.  Efficient gating in data association with multivariate Gaussian distributed states , 1992 .

[22]  U. Rothblum,et al.  Scalings of matrices which have prespecified row sums and column sums via optimization , 1989 .

[23]  Tony Jebara,et al.  Multi-object tracking with representations of the symmetric group , 2007, AISTATS.

[24]  Songhwai Oh,et al.  Markov chain Monte Carlo data association for general multiple-target tracking problems , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[25]  Kunle Olukotun,et al.  The Identity Management Kalman Filter (IMKF) , 2006, Robotics: Science and Systems.

[26]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[27]  Nando de Freitas,et al.  Rao-Blackwellised Particle Filtering for Dynamic Bayesian Networks , 2000, UAI.

[28]  H. Balakrishnan,et al.  Polynomial approximation algorithms for belief matrix maintenance in identity management , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[29]  S. Sastry,et al.  A polynomial-time approximation algorithm for joint probabilistic data association , 2005, Proceedings of the 2005, American Control Conference, 2005..