61.182 Informaatiotekn. ek II, spring 1997
Exercise problems
(Ch. 4, Ripley)
7. Ripley uses the term "Projection Pursuit Regression" for discriminant functions of the form of eq. (4.6), p. 126. Discuss the similarity of this with the conventional Multi-Layer Perceptron classifiers.
(Ch. 6, Ripley)
8. Assume a set of points consisting of n points (vectors) 
. The kernel estimator for the density is
with K(.) the kernel function. A natural condition for any estimate for the density function would be that
Show that this holds asymptotically, when
where 
is the Dirac delta dunction.