(D) Multiscale Analysis with the PEEMD, RQA, and Kernel PCA:

  1. Cui, J.# and B.-W. Shen*, 2018: Revealing the Co-existence of High-dimensional Chaotic and Non-Chaotic Orbits using Kernel PCA Method: A Case Study with a Generalized Lorenz Model. Available from RG https://doi.org/10.13140/RG.2.2.21764.17288. (submitted, Jan 20, 2019).

  2. Reyes, T.# and B.-W. Shen*, 2019:  A Recurrence Analysis of Chaotic and Non-Chaotic Solutions within a Generalized Nine-Dimensional Lorenz Model. http://dx.doi.org/10.13140/RG.2.2.14636.31363 (Submitted,  Jan. 20, 2019)

  3. Shen, B.-W., Y.-L. Wu, and S. Cheung, 2018:  Exploring the Role of Large-Scale Environmental Flow in Tropical Cyclone Genesis: 10-year Data Analysis using the PEEMD. AOGS 15th Annual Meeting. Honolulu, Hawaii, June 03-08, 2018. https://doi.org/10.13140/RG.2.2.12243.68640

  4. Shen, B.-W., S. Cheung, Y. Wu, F. Li, and D. Kao, 2017: Parallel Implementation of the Ensemble Empirical Mode Decomposition (PEEMD) and Its Application for Earth Science Data Analysis. Computing in Science & Engineering, vol. 19, no. 5, pp. 49-57, September/October 2017, doi:10.1109/MCSE.2017.3421555 (gallery)

  5. Wu, Y.-L.,and B.-W. Shen, 2016: An Evaluation of the Parallel Ensemble Empirical Mode Decomposition Method in Revealing the Role of Downscaling Processes Associated with African Easterly Waves in Tropical Cyclone Genesis. J. Atmos. Oceanic Technol. 33, 1611-1628, DOI: 10.1175/JTECH-D-15-0257.1

  6. Shen, B.-W., S. Cheung, J.-L. F. Li, and Y.-L. Wu, S. S. Shen, 2016:  Multiscale Processes of Hurricane Sandy (2012) as Revealed by the Parallel Ensemble Empirical Mode Decomposition and Advanced Visualization Technology. Advances in Data Science and Adaptive Analysis. 08, 1650005 (2016) [22 pages] DOI:http://dx.doi.org/10.1142/S2424922X16500054 (pdf)

  7. Shen, B.-W., S. Cheung, J.-L. F. Li, and Y.-L. Wu, 2013e:  Analyzing Tropical Waves using the Parallel Ensemble Empirical Model Decomposition (PEEMD) Method: Preliminary Results with Hurricane Sandy (2012),  NASA ESTO Showcase by Earthzine magazine. posted December 2, 2013. (URL)

  8. Cheung, S., B.-W. Shen, P. Mehrotra , J.-L. F. Li, 2013: Parallelization of the Ensemble Empirical Model Decomposition (PEEMD) Method on Multi- and Many-core Processors. AGU 2013 Fall Meeting, San Francisco, December 9-13. (pdf)

  9. Shen, B.-W., Z. Wu, and S. Cheung, 2012: Analysis of Tropical Cyclones and Tropical Waves using the Parallel Ensemble Empirical Model Decomposition (EEMD) Method. AGU 2012 Fall Meeting, San Francisco, December 03-07, 2012.