Title
Estimate of a probability density function through neural networks
Abstract
A correct estimate of the probability density function of an unknown stochatic process is a preliminary step of utmost importance for any subsequent elaboration stages, such as modelling and classification. Traditional approaches are based on the preliminary choice of a mathematical model of the function and subsequent fitting on its parameters. Therefore some a-priori knowledge and/or assumptions on the phenomenon under consideration are required. Here an alternative approach is presented, which does not require any assumption on the available data, but extracts the probability density function from the output of a neural network, that is trained with a suitable database including the original data and some ad hoc created data with known distribution. This approach has been tested on a synthetic and on an industrial dataset and the obtained results are presented and discussed.
Year
DOI
Venue
2011
10.1007/978-3-642-21501-8_8
IWANN (1)
Keywords
Field
DocType
traditional approach,original data,available data,neural network,subsequent fitting,preliminary choice,a-priori knowledge,subsequent elaboration stage,alternative approach,preliminary step,probability density function
Density estimation,Data mining,Computer science,Artificial intelligence,Artificial neural network,Moment-generating function,Probability density function,Machine learning
Conference
Volume
ISSN
Citations 
6691
0302-9743
3
PageRank 
References 
Authors
0.44
2
3
Name
Order
Citations
PageRank
Leonardo Reyneri173.32
Valentina Colla215929.50
Marco Vannucci39415.60