Systems Analysis Design

10th International Symposium on Process Systems Engineering: by Rita Maria de Brito Alves, Claudio Augusto Oller do

By Rita Maria de Brito Alves, Claudio Augusto Oller do Nascimento, Evaristo Chalbaud Biscaia Jr.

This e-book includes the lawsuits of the10th version of a chain of foreign symposia on method platforms Engineering (PSE)initiated in 1982. The distinctive concentration of PSE09 is how PSE tools can aid sustainable source structures and rising applied sciences within the components of eco-friendly engineering.

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Notice that the dummy variable requires online measurements for the ethane concentration; such a variable, (AI-1503A1), is available in the DCS from a continuous-flow chromatograph. The set of variables, augmented by the dummy indicator, was used to learn a 2D SOM, from the winter observations only. The map consists of a hexagonal array of prototypes initialized in the space spanned by the eigenvectors corresponding to the two largest eigenvalues of the covariance matrix of the data. As usual, the ratio between the two largest eigenvalues was used to calculate the ratio between the two dimensions of the map.

1) In the learning rule in Eq. 1, t denotes the discrete coordinate of the mapping steps and (t) (0,1) is the decreasing learning rate. The map is computed recursively for each observation. The scalar multiplier hk,c(vi) indicates the neighborhood kernel that, if chosen in its Gaussian form, as in Eq. 2, acts as a smoothing function c(t) = (t) exp 2 rl rc / 2 2 (t) , (2) centered at the Best Matching Unit, BMU (the model mc(t) that best matches with the observation vi). The vectors r l and r c (both in R 2, for the 2D map) represent the geometric location of the nodes on the array.

W. C. Cooper, 1995, An examination of procedures for determining the number of clusters in a dataset, Psychometrika 50, 159–179. M. Oja, S. Kaski, T. Kohonen, 2003, Bibliography of Self-Organizing Map (SOM) papers: 19982001 addendum, Neural Computing Surveys 3, 1–156. J. D. dissertation, Helsinki University of Technology, Finland. 10th International Symposium on Process Systems Engineering - PSE2009 Rita Maria de Brito Alves, Claudio Augusto Oller do Nascimento and Evaristo Chalbaud Biscaia Jr.

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