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A calculation of the quantity of structural information obtained from each constraint and ranking constraints by their contributions into solving a particular problem is, in principle, feasible.
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To make problem (25) tractable, we first ignore the rank constraints and focus on problem (25) without rank constraints named as relaxed problem.
Moreover, explicit rank constraints on state space system matrices are not required.
By applying Lemma 3, problem (19) can be reformulated as an SDP with rank constraints.
Using the S-Procedure[23, 24] this problem with infinitely many constraints can be reformulated as an SDP with rank constraints.
Hence, without the rank constraints the Problem (29) is convex (even when γ is considered as a variable).
Hence, without the rank constraints, Problem (37) is convex (even when we consider γ as a variable).
Since the nuclear norm imposes rank constraints to the learnt mappings, the proposed method is referred to as low-rank semantic mappings (LRS Ms.
Since the nuclear norm imposes rank constraints to the learnt mappings, the proposed classification method is referred to as low-rank semantic mappings (LRS Ms.
This condition is given in terms of a system of linear matrix inequalities with rank constraints, and can be solved using some existing algorithms.
The Kendall's concordance analysis was used to test for the agreement between the ranked constraints of willingness to participate on the MSP.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com