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.

Fri Apr 11 10:26:43 DST 1997