Exercises 3236.25 ( ) www Using the Newton-Raphson formula (4.92), derive the iterative update
formula (6.83) for finding the modeaNof the posterior distribution in the Gaussian
process classification model.
6.26 ( ) Using the result (2.115), derive the expressions (6.87) and (6.88) for the mean
and variance of the posterior distributionp(aN+1|tN)in the Gaussian process clas-
sification model.
6.27 ( ) Derive the result (6.90) for the log likelihood function in the Laplace approx-
imation framework for Gaussian process classification. Similarly, derive the results
(6.91), (6.92), and (6.94) for the terms in the gradient of the log likelihood.