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NASA Technical Reports Server (NTRS) 20040171455: Using an Extended Kalman Filter Learning Algorithm for Feed-Forward Neural Networks to Describe Tracer Correlations PDF

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Preview NASA Technical Reports Server (NTRS) 20040171455: Using an Extended Kalman Filter Learning Algorithm for Feed-Forward Neural Networks to Describe Tracer Correlations

Title: Using an Extended Kalman Filter Learning Algorithm for Feed-Foward Neural Networks to Describe Tracer Correlations Author(s): D. Law and Y. Mussa David John Lary Accepted by: Atmospheric Chemistry and Physics (ACP): Reference: acpd-2004-0077 Neural networks are algorithms that attempt to mimic the brain by learning the behavior of data. They can be thought of as a multivariate non-linear fit of inputs to outputs. In this study a new extended Kalman filter (EKF) learning algorithm for feed- forward neural networks (FFN) is used. With the EKF approach, the training of the FFN can be seen as state estimation for a non-linear stationary process. The EKF method gives excellent convergence performances provided that there is enough computer core memory and that the machine precision is high. Neural networks are ideally suited to describe the spatial and temporal dependence of tracer-tracer correlations. The neural network performs well even in regions where the correlations are less compact and normally a family of correlation curves would be required. For example, the CH4-N20 correlation can be well described using a neural network trained with the latitude, pressure, time of year, and CH4 volume mixing ratio (v.m.r.). The neural network was able to reproduce the CH4-N20 correlation with a correlation coefficient between simulated and training values of 0.9997. n e 0 a * 0 0 cu 0 m.. U 0 0 (v m cn J B Lo Lo (D c> r0 vr) N0 Lcoy a, ca. PL cv) a av) U E a -cr u) S 8 a, -Q z Z LL 2 LL Y w w- 0 c K E -h 0 E w I I 0N INn i 0 cu. a>, h4-adr F a I- O Ui E .- v) a, U i 0 U- c0 ra, a>, i % .%- c0 a0 2 0a>, Y s c c .- 3 cn30 aEE, ci00a>, 0cccnn t 3cn 8 $ 4- cEd 3Q 2 YC .K- Q 5a, 5a, sa, 5a, .v-) .0- .v-) .v-) xi +ii 2 tiii I I I I d- 0 0 N 3 c3 w 0 LL Y w w .c- rA 3 2 3 -a a, 0 2 Q w .- .c- a I= 4 cu .- 0 0N 4 m a, c v) 0 c Y 0 a n 0 u) a, .- vz) a, r, 0 9 .+- v L 0 .c c- !i v) a, - 3 .- a v) > .a- E L .a-, 0 4- U L K 0 E .u- ) t a, n 00 Q 60 .aac,. c0va,) U s I Q a- 3 2= ci cd r; .- z !n v) 0N T- ci

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