A Normalized Mutual Information Estimator Compensating Variance Fluctuations for Motion Detection

In motion event detection, an information measure based score function is sensitive to variance fluctuations between sample intervals. In this work, a score function based on a normalization of mutual information measure is proposed to tackle the problem of variance fluctuations. The mutual information is normalized by the maximum entropy which is related to the sample variances in comparison. An estimator using the normalized mutual information measure is implemented by neural networks with random setting of hidden neuron parameters. This estimator is tested by change point detection and motion event detection in experiments. Experimental results show that the normalization scheme in the estimator improves the sensitivity of event detection.

[1]  Kai Zhang,et al.  Extreme learning machine and adaptive sparse representation for image classification , 2016, Neural Networks.

[2]  E. Jaynes Information Theory and Statistical Mechanics , 1957 .

[3]  Joydeep Ghosh,et al.  Cluster Ensembles --- A Knowledge Reuse Framework for Combining Multiple Partitions , 2002, J. Mach. Learn. Res..

[4]  Martial Hebert,et al.  Event Detection in Crowded Videos , 2007, 2007 IEEE 11th International Conference on Computer Vision.

[5]  Badong Chen,et al.  Sequential extreme learning machine incorporating survival error potential , 2015, Neurocomputing.

[6]  Nigel Collier,et al.  Change-Point Detection in Time-Series Data by Relative Density-Ratio Estimation , 2012, Neural Networks.

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

[8]  James Bailey,et al.  Information Theoretic Measures for Clusterings Comparison: Variants, Properties, Normalization and Correction for Chance , 2010, J. Mach. Learn. Res..

[9]  Badong Chen,et al.  A parameter-free Cauchy-Schwartz information measure for independent component analysis , 2016, 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[10]  Jinchun Hu,et al.  System Identification Under Information Divergence Criteria , 2013 .

[11]  Motoaki Kawanabe,et al.  Direct Importance Estimation with Model Selection and Its Application to Covariate Shift Adaptation , 2007, NIPS.

[12]  A. Kraskov,et al.  Estimating mutual information. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Tarald O. Kvålseth,et al.  Entropy and Correlation: Some Comments , 1987, IEEE Transactions on Systems, Man, and Cybernetics.

[14]  Badong Chen,et al.  System Parameter Identification: Information Criteria and Algorithms , 2013 .

[15]  Chee Kheong Siew,et al.  Extreme learning machine: Theory and applications , 2006, Neurocomputing.

[16]  Hui Xiong,et al.  Adapting the right measures for K-means clustering , 2009, KDD.

[17]  Yoshinobu Kawahara,et al.  Skill grouping method: Mining and clustering skill differences from body movement BigData , 2015, 2015 IEEE International Conference on Big Data (Big Data).

[18]  Dai Jing-min New technology of infrared image contrast enhancement based on human visual properties , 2008 .

[19]  Jaideep Srivastava,et al.  Event detection from time series data , 1999, KDD '99.

[20]  Takafumi Kanamori,et al.  Direct Divergence Approximation between Probability Distributions and Its Applications in Machine Learning , 2013, J. Comput. Sci. Eng..

[21]  Hui Xiong,et al.  Information-Theoretic Distance Measures for Clustering Validation: Generalization and Normalization , 2009, IEEE Transactions on Knowledge and Data Engineering.

[22]  Alexander Kraskov,et al.  Published under the scientific responsability of the EUROPEAN PHYSICAL SOCIETY Incorporating , 2002 .

[23]  Nan Liu,et al.  Extreme learning machine based mutual information estimation with application to time-series change-points detection , 2017, Neurocomputing.

[24]  Kaveh Pahlavan,et al.  Measurement of motion detection of Wireless Capsule Endoscope inside large intestine , 2014, 2014 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.