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“…When the Lagrange multipliers are set to zero, that is, ε * = 0 and/or ε * = 0, the control τ * can be calculated (including the solution at the boundaries) by solving (45). Otherwise, when the Lagrange multipliers are non-zero, that is, ε * = 0 and/or ε * = 0, the control τ * has to be equal to the boundary values, τ max or τ min , based on the KKT conditions.…”

confidence: 99%

“…When the Lagrange multipliers are set to zero, that is, ε * = 0 and/or ε * = 0, the control τ * can be calculated (including the solution at the boundaries) by solving (45). Otherwise, when the Lagrange multipliers are non-zero, that is, ε * = 0 and/or ε * = 0, the control τ * has to be equal to the boundary values, τ max or τ min , based on the KKT conditions.…”

confidence: 99%

“…The KKT conditions [44] are the necessary conditions for the local minima and global optimal solution, and the algorithm is independent of the initial conditions. The KKT necessary and sufficient optimality conditions [45] are obtained by setting the gradients of the Lagrangian L equal to zero. Then, the optimal solution, τ * , is obtained by solving (see equation at the bottom of the page)…”

confidence: 99%

“…Naseem et al gave a face recognition method as Linear Regression based Classification (LRC) [10]. Zhou et al [11] developed a semi-supervised Proximal Support Vector Machine (PSVM) classifier.…”

confidence: 99%