Karjalainen, Pasi A. Regularization and Bayesian methods for ...

18 1. Introduction
Chapters 5, 6 and 7 contain the main novel parts of this thesis. In Chapter
5 two simulation methods for evoked potentials are introduced. Both methods
are presented as systematic methods for different needs of simulations. The applicability
of the methods is then discussed. In Chapter 6 the existing methods
for evoked potential analysis are reviewed. The methods are analyzed in detail
in light of estimation and regularization theory. In Chapter 6 we also introduce
some novel estimation methods that form the basis for the two practical estimation
procedures that are proposed in Chapter 7. The estimation methods are proposed
in a general form that can easily be modified to correspond to more complicated
assumptions about the physical reality. In Chapter 7 the proposed methods are
also evaluated using both simulated data and real measurements. The applicability
of the so-called generalized cross-validation criterion for determination of the
regularization parameters is also evaluated and discussed.
Chapter 8 contains overall discussion and conclusions of this thesis.