Stability and chaos analysis for an ICA algorithm

DOI10.1016/j.camwa.2010.07.013zbMath1202.60062OpenAlexW2054765601MaRDI QIDQ614365

Jian Cheng Lv, Min Wan, Jiliu Zhou, Zhang Yi

Publication date: 27 December 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.07.013

zbMATH Keywords

chaoskurtosissnapback repellerindependent component analysis (ICA)

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Signal detection and filtering (aspects of stochastic processes) (60G35) Applications of dynamical systems (37N99)

Uses Software

• FastICA

Cites Work

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• Dynamic behavior of a discrete modified Ricker \& Beverton-Holt model
• On the analysis of stability, bifurcation, chaos and chaos control of Kopel map
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Independent component analysis, a new concept?
• An improved version of the Marotto theorem
• On-line algorithm for blind signal extraction of arbitrarily distributed, but temporally correlated sources using second order statistics
• On redefining a snap-back repeller
• Discrete chaos in Banach spaces
• Numerical computation of orbits and rigorous verification of existence of snapback repellers
• Period Three Implies Chaos
• Convergence Analysis of a Class of HyvÄrinen–Oja's ICA Learning Algorithms With Constant Learning Rates
• Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span
• ON THE MATHEMATICAL CLARIFICATION OF THE SNAP-BACK-REPELLER IN HIGH-DIMENSIONAL SYSTEMS AND CHAOS IN A DISCRETE NEURAL NETWORK MODEL

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