Essays on Some Recent Penalization Methods with Applications in Finance and Marketing Defended on Thursday, 11 September 2008
The subject of this PhD research is within the areas of
Econometrics and Artificial Intelligence. More concretely, it
deals with the tasks of statistical regression and classification
analysis. New classification methods have been proposed, as well
as new applications of established ones in the areas of Finance
and Marketing.
The bulk of this PhD research centers on extending standard
methods that fall under the general term of loss-versus-penalty
classification techniques. These techniques build on the premises
that a model that uses a finite amount of available data to be trained on
should neither be too complex nor too simple in order to possess a
good forecasting ability. New proposed classification techniques
in this area are Support Hyperplanes, Nearest Convex Hull
classification and Soft Nearest Neighbor.
Next to the new techniques, new applications of some standard
loss-versus-penalty methods have been put forward. Specifically,
these are the application of the so-called Support Vector Machines
(SVMs) for classification and regression analysis to financial
time series forecasting, solving the Market Share Attraction model
and solving and interpreting binary classification tasks in
Marketing.
In addition, this research focuses on new efficient solutions to
SVMs using the so-called majorization algorithm. This algorithm
provides for the possibility to incorporate various so-called loss
functions while solving general SVM-like methods.
Keywords
regularization, instance-based learning, kernel methods, econometrics and machine learning, financial time-series forecasting, binary problems in marketing