Decentralised data fusion with particles

We aim to solve the problem of consistent Decentralised Data Fusion (DDF) with particle filters by a transformation of the sample statistics to a dierent representation that maintains an accurate summary of the particles. Two methodologies are proposed. The first method is a transformation of the particle representation to a Gaussian Mixture Model (GMM). The second algorithm approximates the particles by a Parzen representation. The two algorithms proposed dier in the accuracy of representing the particles as well as the accuracy of fusion methods and the bandwidth requirements. Our simulations results show that a transformation to GMMs requires less components and provides a more accurate summary compared to Parzen representations. However, the decentralised fusion solution for Parzen representations is more accurate than the solution for GMMs.

[1]  L. Goddard Information Theory , 1962, Nature.

[2]  E. Parzen On Estimation of a Probability Density Function and Mode , 1962 .

[3]  Robert B. Ash,et al.  Information Theory , 2020, The SAGE International Encyclopedia of Mass Media and Society.

[4]  H. Sorenson,et al.  Recursive bayesian estimation using gaussian sums , 1971 .

[5]  H. Sorenson,et al.  Nonlinear Bayesian estimation using Gaussian sum approximations , 1972 .

[6]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[7]  J. Bather,et al.  Mixture Reduction Algorithms for Uncertain Tracking , 1988 .

[8]  Thomas M. Cover,et al.  Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing) , 2006 .

[9]  N. Gordon,et al.  Novel approach to nonlinear/non-Gaussian Bayesian state estimation , 1993 .

[10]  Lawrence D. Stone,et al.  Bayesian Multiple Target Tracking , 1999 .

[11]  Andrew W. Moore,et al.  X-means: Extending K-means with Efficient Estimation of the Number of Clusters , 2000, ICML.

[12]  Nando de Freitas,et al.  An Introduction to Sequential Monte Carlo Methods , 2001, Sequential Monte Carlo Methods in Practice.

[13]  Nando de Freitas,et al.  Sequential Monte Carlo Methods in Practice , 2001, Statistics for Engineering and Information Science.

[14]  Christian Musso,et al.  Improving Regularised Particle Filters , 2001, Sequential Monte Carlo Methods in Practice.

[15]  M. Rosencrantz,et al.  Locating Moving Entities in Dynamic Indoor Environments with Teams of Mobile Robots , 2002 .

[16]  Neil J. Gordon,et al.  A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking , 2002, IEEE Trans. Signal Process..

[17]  William T. Freeman,et al.  Efficient Multiscale Sampling from Products of Gaussian Mixtures , 2003, NIPS.

[18]  Sebastian Thrun,et al.  Locating moving entities in indoor environments with teams of mobile robots , 2003, AAMAS '03.

[19]  Dorin Comaniciu,et al.  Kernel-Based Object Tracking , 2003, IEEE Trans. Pattern Anal. Mach. Intell..

[20]  Mark Coates,et al.  Distributed particle filters for sensor networks , 2004, Third International Symposium on Information Processing in Sensor Networks, 2004. IPSN 2004.

[21]  S. Sukkarieh,et al.  Decentralised data fusion with Parzen density estimates , 2004, Proceedings of the 2004 Intelligent Sensors, Sensor Networks and Information Processing Conference, 2004..

[22]  H. Durrant-Whyte,et al.  Rich probabilistic representations for bearing only decentralised data fusion , 2005, 2005 7th International Conference on Information Fusion.

[23]  Yuhong Yang,et al.  Information Theory, Inference, and Learning Algorithms , 2005 .

[24]  Parameswaran Ramanathan,et al.  Distributed particle filter with GMM approximation for multiple targets localization and tracking in wireless sensor network , 2005, IPSN 2005. Fourth International Symposium on Information Processing in Sensor Networks, 2005..

[25]  P. Fearnhead,et al.  Building Robust Simulation-based Filters for Evolving Data Sets , 2007 .