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For pairwise approaches in learning to rank, it is easy to obtain an ordinal prior knowledge from training instancepairs. Moreover, the ordinal prior knowledge shows the difference of instance pairs in a ranking. However, the standard ranking support vector machine (RSVM) does not use the prior knowledge. This paper presents a variant of RSVM, which takes into account the ordinal prior knowledge....
In this paper, we investigate a priori error estimates of mixed finite element methods for general optimal control problem governed by parabolic equations. The state and co-state are approximated by the Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. We derive a priori error estimates for the state and the control approximation of parabolic...
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