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An Algebraic Algorithm for Joint Independent Subspace Analysis

  • Jia-Xing YangEmail author
  • Xiao-Feng Gong
  • Gui-Chen Yu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11554)

Abstract

In this work, we propose an algebraic algorithm called coupled exact joint block decomposition (CE-JBD) for joint independent subspace analysis (JISA), an extension to joint blind source separation. In JISA, tensors admitting coupled rank-\((L_m,L_n,\cdot )\) Block Term Decomposition (BTD) can be constructed using second order statistics of non-stationary signals. And the loading matrices to be estimated will be computed from these tensors via coupled rank-\((L_m,L_n,\cdot )\) BTD based algorithms. However, most of the existing algorithms resort to iterative techniques. They heavily rely on a good starting point. Capable of providing such a point, our proposed CE-JBD, based on coupled rank-\((L_m,L_n,\cdot )\) BTD, achieves JISA only by employing generalized eigenvalue decomposition followed by a clustering step and singular value decomposition. To validate its efficacy, as well as its ability to serve its iterative counterparts, we present some experiment results in the end.

Keywords

Coupled rank-\({{(}}L_m, L_n , \cdot {{)}}\) block term decomposition Second order statistics Joint independent subspace analysis Coupled exact joint block decomposition 

Notes

Acknowledgments

This research is funded by national natural science foundation of China (Grant nos. 61331019 and 61379012).

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.School of Information and Communication EngineeringDalian University of TechnologyDalianChina

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