University of Birmingham > Talks@bham > Astrophysics Seminars > Artificial Neural Networks and Data Analysis

Artificial Neural Networks and Data Analysis

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If you have a question about this talk, please contact Dr Matteo Bianconi.

I will speak about pattern recognition using Artificial Neural Networks (ANN) and SOM (SOM) ( self .organizing maps). First I define the input and output patterns and the search of the dimension of the patterns. This requires to look for the correlation length of the time series.. I will define the training, validation and learning error. The dimension of inputs patterns is defined by the correlation length. The architecture is defined also by the number of input neurons, layers and synaptic weights. The best architecture is found minimizing the learning and generalization error studying the variation of the dependence of these quantities on the possible choices a heuristic research. I will show examples of networks with exact estimates of the learning error. The minimization of the error can be performed ,both theoretically and experimentally only if the number of patterns is large. The case in which is possible to show rigourosly the theoretical result holds only for an infinite number of patterns and infinite number of neurons.

This talk is part of the Astrophysics Seminars series.

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