CGHo["alpha"] sets the proportion of length of each profile that
will be used for . If ni is the length of profile i then
$$\code{uniKmax[[i]]} = \alpha n_i$$
The speed of execution of the method decreases with Kmax.
Each Kmax must fulfill some conditions wrt CGHo:
$$\code{uniKmax[[i]]} > \code{nblevels}$$
$$\code{uniKmax[[i]]}< n_i$$
References
Joint segmentation, calling and normalization of multiple CGH profiles, Biostatistics (2011)