Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-08-22
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 pages, 1 figure, Talk delivered by S. Liuti at "XIV Deep Inelastic Scattering Workshop", Tsukuba, Japan, April 20-24, 2006
Scientific paper
We present an alternative algorithm to global fitting procedures to construct Parton Distribution Functions (PDFs) parametrizations. The proposed algorithm uses Self-Organizing Maps (SOMs) which at variance with the standard Neural Networks, are based on competitive-learning. SOMs generate a non-uniform projection from a high dimensional data s pace onto a low dimensional one (usually 1 or 2 dimensions) by clustering similar PDF representations together. The SOMs are trained on progressively narrower selections of data samples. The selection criterion is that of convergence towards a neighborhood of the experimental data. All available data sets on deep inelastic scattering in the kinematical region of 0.001 < x < 0.75, and 1 10 GeV^2 were implemented. The proposed fitting procedure, at variance with standard neural network approaches, allows for an increased control of the systematic bias by enabling the user to directly control the data selection procedure at various stages of the process.
Brogan D.
Honkanen Heli
Liuti Simonetta
Loitiere Y. C.
Reynolds Patrick
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