... circle moving right and up;
square moving right and down;
triangle moving right and up;
circle moving right and down;
square moving right and up;
triangle moving right and down.
Training ... 1,1–47 (1991).
[2] J.S. Lund, Q. Wu and J.B. Levitt, ‘‘ Visual cortex cell types and connections’’,
in M.A. Arbib, Ed., Handbook of Brain Theory and Neural Networks,
Cambri...
... 133–
140.
[3] G.V. Puskorius and L. A. Feldkamp, ‘‘ Decoupled extended Kalman filter
training of feedforward layered networks, ’’ in Proceedings of International
Joint Conference of Neural Networks, Seattle, ... KALMAN FILTER TRAINING
phenomenon, is particularly troublesome for training of recurrent neural
networks and= or neural network controllers, where the temporal order o...
... increment, the deviation in
83
Kalman Filtering and Neural Networks, Edited by Simon Haykin
ISBN 0-471-36998-5 # 2001 John Wiley & Sons, Inc.
Kalman Filtering and Neural Networks, Edited by Simon ... D.A. Rand and L.S. Young, Eds. Dynamical Systems and
Turbulence, Warwick 1980, Lecture Notes in Mathematics Vol. 898. 1981,
p. 230. Berlin: Springer-Verlag.
[6] A.M. Fra...
... of Kalman filters
to pave the way for their application in subsequent chapters of the book.
We have chosen to follow the original paper by Kalman [1] for the
1
Kalman Filtering and Neural Networks, ... system.
2
1 KALMAN FILTERS
[2] F.H. Lewis, Optical Estimation with an Introduction to Stochastic Control
Theory. New York: Wiley, 1986.
[3] M.S. Grewal and A.P. Andrews, Kalman...
... Atlas, ‘‘Recurrent neural networks and
robust time series prediction,’’ IEEE Transactions on Neural Networks, 5(2),
240–254 (1994).
[15] S.C. Stubberud and M. Owen, ‘‘Artificial neural network feedback ... ð5:63Þ
where
^
xx
kjN
and p
kjN
are defined as the conditional mean and variance of x
k
given
^
ww and all the data, fy
k
g
N
1
. The terms
^
xx
À
kjN
and p
À
kjN
are the...
... 1983.
[8] G.C. Goodwin and K.S. Sin, Adaptive Filtering, Prediction and Control.
Englewood Cliffs, NJ: Prentice-Hall, 1984.
[9] J. Moody and C. Darken, ‘‘Fast learning in networks of locally-tuned
processing ... units,’’ Neural Computation, 1,281–294 (1989).
[10] D.S. Broomhead and D. Lowe, ‘‘ Multivariable functional interpolation and
adaptive networks, ’’ Complex Systems, 2,...
... time-series
estimation with neural networks.
Double Inverted Pendulum A double inverted pendulum (see Fig.
7.4) has states corresponding to cart position and velocity, and top and
bottom pendulum angle and angular ... learning the parameters. The use of the EKF
for training neural networks has been developed by Singhal and Wu [8]
and Puskorious and Feldkamp [9], and is...