Performance Evaluation of Joint Tracking and Classification

Joint tracking and classification (JTC) is gaining momentum in recent years. Many algorithms have been proposed. However, not enough attention has been paid to JTC evaluation, although it is important in practice. In this paper, we deal with evaluating the goodness and credibility of JTC. For the JTC goodness, tracking and classification so far have been largely evaluated separately without considering the interdependence of tracking and classification. We propose a joint measure—joint probability divergence (JPD)—to quantify tracking error, misclassification and their interdependence. The basic idea of JPD is to measure the closeness between the cumulative distribution functions of the perfect JTC and the JTC to be evaluated. The proposed method has a number of attractive properties. Some results from algorithms can be regarded as self-assessments. The credibility problem is concerned with whether these assessments are credible or how credible they are. We define the credibility problem for decision and propose an associated noncredibility index (NCI). We also propose a joint NCI (JNCI) to quantify the noncredibility of estimation and decision jointly. Four examples are presented to demonstrate how well the JPD and JNCI reflect the joint performance of tracking and classification.

[1]  X. R. Li,et al.  ESTIMATOR'S CREDIBILITY AND ITS MEASURES , 2002 .

[2]  Shawn M. Herman Joint passive radar tracking and target classification using radar cross section , 2004, SPIE Optics + Photonics.

[3]  Xuelong Li,et al.  Geometric Mean for Subspace Selection , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[4]  Changjun Jiang,et al.  Satellite Objects Extraction and Classification Based on Similarity Measure , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[5]  Thia Kirubarajan,et al.  Estimation with Applications to Tracking and Navigation: Theory, Algorithms and Software , 2001 .

[6]  Lin Feng,et al.  Learning a Distance Metric by Balancing KL-Divergence for Imbalanced Datasets , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[7]  Jörg Hurka,et al.  Narrowband Passive Sonar Tracking , 2010, GI Jahrestagung.

[8]  Chun Yang,et al.  Mutual-aided target tracking and identification , 2003, SPIE Defense + Commercial Sensing.

[9]  Lyudmila Mihaylova,et al.  Monte Carlo Algorithm for Maneuvering Target Tracking and Classification , 2004, International Conference on Computational Science.

[10]  Ondrej Straka,et al.  Multitarget tracking performance analysis using the non-credibility index in the Nonlinear Estimation Framework (NEF) toolbox , 2010, Proceedings of the IEEE 2010 National Aerospace & Electronics Conference.

[11]  A. Farina,et al.  Joint tracking and identification algorithms for multisensor data , 2002 .

[12]  A. W. Marshall Markov's inequality for random variables taking values in a linear topological space , 1984 .

[13]  H. Hersbach Decomposition of the Continuous Ranked Probability Score for Ensemble Prediction Systems , 2000 .

[14]  Yaakov Bar-Shalom,et al.  Consistency and robustness of PDAF for target tracking in cluttered environments , 1983, Autom..

[15]  Yaakov Bar-Shalom,et al.  Estimation and Tracking: Principles, Techniques, and Software , 1993 .

[16]  Xiaofan He,et al.  Joint class identification and target classification using multiple HMMs , 2014, IEEE Transactions on Aerospace and Electronic Systems.

[17]  James H. Lambert,et al.  Stochastic minimax decision rules for risk of extreme events , 1999, IEEE Trans. Syst. Man Cybern. Part A.

[18]  Hyondong Oh,et al.  New Multiple-Target Tracking Strategy Using Domain Knowledge and Optimization , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[19]  Zhi Tian,et al.  Performance evaluation of track fusion with information matrix filter , 2002 .

[20]  X. Rong Li,et al.  Pairwise Comparison Based Ranking Vector Approach to Estimation Performance Ranking , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[21]  Zheng Bao,et al.  Joint Threshold Adjustment and Power Allocation for Cognitive Target Tracking in Asynchronous Radar Network , 2017, IEEE Transactions on Signal Processing.

[22]  G. Brier VERIFICATION OF FORECASTS EXPRESSED IN TERMS OF PROBABILITY , 1950 .

[23]  Hans Driessen,et al.  Integrated tracking and classification: an application of hybrid state estimation , 2001, SPIE Optics + Photonics.

[24]  H. Levy Stochastic Dominance: Investment Decision Making under Uncertainty , 2010 .

[25]  X. Rong Li,et al.  Measuring Estimator's Credibility: Noncredibility Index , 2006, 2006 9th International Conference on Information Fusion.

[26]  Kuo-Chu Chang,et al.  Performance evaluation of multi-sensor classification systems , 2007, IEEE Transactions on Aerospace and Electronic Systems.

[27]  Subhash Challa,et al.  Joint target tracking and classification using radar and ESM sensors , 2001 .

[28]  Chenglin Wen,et al.  Performance Analysis of the Kalman Filter With Mismatched Noise Covariances , 2016, IEEE Transactions on Automatic Control.

[29]  Lyudmila Mihaylova,et al.  Joint target tracking and classification with particle filtering and mixture Kalman filtering using kinematic radar information , 2006, Digit. Signal Process..

[30]  X. Rong Li,et al.  Conditional Joint Decision and Estimation With Application to Joint Tracking and Classification , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[31]  Ming Yang,et al.  Joint tracking and classification based on bayes joint decision and estimation , 2007, 2007 10th International Conference on Information Fusion.

[32]  Zhansheng Duan,et al.  Evaluation of Probability Transformations of Belief Functions for Decision Making , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[33]  Chun Yang,et al.  Relative Track Metrics to Determine Model Mismatch , 2008, 2008 IEEE National Aerospace and Electronics Conference.

[34]  Ronald P. S. Mahler,et al.  Multitarget miss distance via optimal assignment , 2004, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[35]  Le Zhang,et al.  A method for evaluating performance of joint tracking and classification , 2015, 2015 18th International Conference on Information Fusion (Fusion).

[36]  Thia Kirubarajan,et al.  A Joint Multitarget Estimator for the Joint Target Detection and Tracking Filter , 2015, IEEE Transactions on Signal Processing.

[37]  A. Raftery,et al.  Strictly Proper Scoring Rules, Prediction, and Estimation , 2007 .

[38]  Ondrej Straka,et al.  Self-assessment of local filters by non-Gaussianity measures , 2014, 2014 American Control Conference.

[39]  Qi Xuan,et al.  Passive Indoor Localization Based on CSI and Naive Bayes Classification , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[40]  X. Rong Li,et al.  Optimal bayes joint decision and estimation , 2007, 2007 10th International Conference on Information Fusion.

[41]  LI X.RONG,et al.  Evaluation of estimation algorithms part I: incomprehensive measures of performance , 2006, IEEE Transactions on Aerospace and Electronic Systems.