Plenary Lecture
New approaches for Hierarchical Tensor-based Decompositions of Multidimensional Images: Statistical and Deterministic Algorithms
Professor Roumen Kountchev
Co-author Roumiana Kountcheva
Faculty of Telecommunications
Department of Radio Communications and Video Technologies
Technical University of Sofia
Bulgaria
E-mail: rkountch@tu-sofia.bg
Abstract: The use of tensor-based methods for decomposition of multidimensional images is one of the important present day problems which is proved by the vast research works and publications in the area. Highly topical are the methods based on hierarchical tensor decomposition, distinguished for their low computational complexity. In this work are presented two new approaches for hierarchical tensor decomposition based on statistical and deterministic methods. The deterministic hierarchical decomposition is illustrated by an example of the 3-level Inverse Pyramid Decomposition based on the 3D Walsh-Hadamard transform. Also, two new approaches for statistical hierarchical decompositions are presented - through PCA and SVD - based on the multiple calculation of the orthogonal transform of matrices of size 2х2. The computational complexity of the corresponding decomposition algorithms are compared and are given some of their applications - for search-by-content in image databases and for the reduction of the features' space of the searched objects. The advantages and demerits of the offered algorithms are analyzed and are provided recommendations for their applications.
Brief Biography of the Speaker: Roumen Kountchev, Ph.D., D. Sc. is a professor at the Faculty of Telecommunications, Department of Radio Communications and Video Technologies at the Technical University of Sofia, Bulgaria. Areas of interest: digital signal and image processing, image compression, multimedia watermarking, video communications, pattern recognition and neural networks. Prof. Kountchev has 350 papers published in magazines and proceedings of conferences; 15 books; 46 book chapters; 20 patents (3 international). He had been principle investigator of 38 research projects; https://www.researchgate.net/profile/Roumen_Kountchev Memberships: - Euro Mediterranean Academy of Arts and Sciences (EMAAS) and President of Bulgarian Association for Pattern Recognition (member of Intern. Association for Pattern Recognition). -International Research Institute for Economics and Management (IRIEM), http://www.iriem.org/memberships/Members.aspx -Institute of Data Science and Artificial Intelligence (IDSAI), http://www.idsai.org/memberships/Members.aspx Editorial board member of: Intern. Journal of Reasoning-based Intelligent Systems; Intern. Journal Broad Research in Artificial Intelligence and Neuroscience; KES Focus Group on Intelligent Decision Technologies; Egyptian Computer Science Journal; Intern. Journal of Bio-Medical Informatics and e-Health, and Intern. Journal Intelligent Decision Technologies. He has been a plenary speaker at: WSEAS Intern. Conf. on Signal Processing 2009, Istanbul; WSEAS Intern. Conf. on Signal Processing, Robotics and Automation, University of Cambridge 2010, UK; WSEAS Intern. Conf. on Signal Processing, Computational Geometry and Artificial Vision 2012, Istanbul, Turkey; Intern. Workshop on Bioinformatics, Medical Informatics and e-Health 2013, Ain Shams University, Cairo, Egypt; Workshop SCCIBOV 2015, Djillali Liabes University, Sidi Bel Abbes, Algeria; Intern. Conf. on Information Technology 2015 and 2017, Al Zayatoonah University, Amman, Jordan; WSEAS European Conf. of Computer Science 2016, Rome, Italy; The 9th Intern. Conference on Circuits, Systems and Signals (CSS'17), London, UK, October 2017; IEEE Intern. Conference on High Technology for Sustainable Development (HiTech’18), Sofia, Bulgaria, June 2018. The 8th Intern. Congress of Information and Communication Technology (ICICT’18), Xiamen, China, January 2018 and Naning, China, January 2019.