On Stability of Oja Algorithm
Radosław Sikora , Władysław Skarbek
AbstractBy elementary tools of matrix analysis, we show that the discrete dynamical system defined by Oja algorithm is stable in the ball K(0,81/64) if only gains β n are bounded by (2B)−1, where B = b 2 and b is the bound for the learning sequence. We also define a general class of Oja’s systems (with gains satisfying stochastic convergence conditions) which tend to the infinity with exponential rate if only their initial states are chosen too far from the zero point.
|Book||Polkowski Lech, Skowron Andrzej (eds.): Rough Sets and Current Trends in Computing, Lecture Notes In Computer Science, vol. LNAI 1424, 1998, Springer, ISBN 3-540-64655-8, 625 p., DOI:10.1007/3-540-69115-4|
|Keywords in English||Artificial Intelligence (incl. Robotics), Computation by Abstract Devices, Image Processing and Computer Vision, Mathematical Logic and Formal Languages|
|Citation count*||6 (2018-02-13)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.