Multilayer Perceptron Neural Network in a Data Assimilation Scenario

AbstractMultilayer Perceptron Neural Network (MLP-NN) have been successfully applied to solve nonlinear problems in meteorology and oceanography. In this work, MLP-NN is applied to completely emulate an Extended Kalman Filter (EKF) in a data assimilation scenario. Data assimilation is a process for producing a good combination of data from observations and data from a mathematical model. This is a fundamental issue in an operational prediction system. The one-dimensional shallow water equation DYNAMO-1D is employed here for testing the assimilation schemes. The DYNAMO model is derived from depth-integrating the Navier-Stokes equations, in the case where the horizontal length scale is much greater than the vertical length scale, where the Coriolis force is also considered in atmospheric flows. Techniques, such as Extend Kalman Filter, are available to track non-linear dynamical models under certain conditions. Under strong non-linearity, the fourth-order moment EKF works well when applied to high-dimension...

[1]  A. Jazwinski Stochastic Processes and Filtering Theory , 1970 .

[2]  J. Holton An introduction to dynamic meteorology , 2004 .

[3]  C. L. Wu,et al.  A flood forecasting neural network model with genetic algorithm , 2006 .

[4]  Jeffrey L. Anderson An Ensemble Adjustment Kalman Filter for Data Assimilation , 2001 .

[5]  William W. Hsieh,et al.  Applying Neural Network Models to Prediction and Data Analysis in Meteorology and Oceanography. , 1998 .

[6]  J. Yorke,et al.  Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics , 1987, Science.

[7]  Peter Lynch Dynamo : a one-dimensional primitive equation model , 1984 .

[8]  Tatsuoki Takeda,et al.  Applying a Neural Network Collocation Method to an Incompletely Known Dynamical System via Weak Constraint Data Assimilation , 2003 .

[9]  K. Chau,et al.  Neural network and genetic programming for modelling coastal algal blooms , 2006 .

[10]  Kwok-wing Chau,et al.  A hybrid adaptive time-delay neural network model for multi-step-ahead prediction of sunspot activity , 2006 .

[11]  M. W Gardner,et al.  Artificial neural networks (the multilayer perceptron)—a review of applications in the atmospheric sciences , 1998 .

[12]  Michael Ghil,et al.  Advanced data assimilation in strongly nonlinear dynamical systems , 1994 .

[13]  Eugenia Kalnay,et al.  Atmospheric Modeling, Data Assimilation and Predictability , 2002 .

[14]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[15]  Chuntian Cheng,et al.  Using support vector machines for long-term discharge prediction , 2006 .

[16]  Jing Guo,et al.  The Computational Complexity and Parallel Scalability of Atmospheric Data Assimilation Algorithms , 2004 .