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In collaborative ranking, the Bradley-Terry (BT) model is widely used for modeling pairwise user preferences. However, when this model is combined with matrix factorization on sparsely observed ratings, a challenging identifiability issue arises since the optimization will involve non-convex constraints. Besides, in some situations, fitting the Bradley-Terry model yields a numerical challenge as it...
PID controllers have been widely used in many industries. They can provide robust and reliable performance for most systems. However, it is very important to tune the PID parameters properly. There is a large variety of methods for tuning the PID parameters. But none of them can cope with the wide system uncertainties. The main motivation in this paper is to present a design scheme of controllers...
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