Lagrange Multiplier Conditions Characterizing the Optimal Solution Sets of Cone-Constrained Convex Programs

2004 ◽  
Vol 123 (1) ◽  
pp. 83-103 ◽  
Author(s):  
V. Jeyakumar ◽  
G. M. Lee ◽  
N. Dinh
Keyword(s):  
Lagrange Multiplier ◽  
Optimal Solution ◽  
Convex Programs ◽  
Solution Sets

Research on Interception Order Modeling of Air Targets

2011 ◽  
Vol 121-126 ◽  
pp. 1739-1743
Author(s):  
Zhe Shuai Zhou ◽  
Hong Bing Fang
Keyword(s):  
Lagrange Multiplier ◽  
Scenario Analysis ◽  
Influence Factors ◽  
Optimal Solution ◽  
Weapon System ◽  
Improved Method ◽  
Order Model ◽  
Operational Capabilities ◽  
Threat Level ◽  
Typical Scenario

In order to evaluate the threat level of air targets objectively, based on comprehensive consideration the influence factors of threat level of air targets and operational capabilities of weapon system, an improved method of TOPSIS is presented, which is used in comparing and ordering of air targets, and the targets interception order model is also proposed, the optimal solution and the index weights are got by Lagrange multiplier method. Combined with the typical scenario, analysis of example simulation is done and the results show that the method and the model are feasible.

scholarly journals Exclusivity Regularized Machine: A New Ensemble SVM Classifier

2017 ◽  
Author(s):  
Xiaojie Guo ◽  
Xiaobo Wang ◽  
Haibin Ling
Keyword(s):  
Theoretical Analysis ◽  
Lagrange Multiplier ◽  
Linear Complexity ◽  
Optimal Solution ◽  
Svm Classifier ◽  
Global Optimality ◽  
The Arts ◽  
Augmented Lagrange Multiplier ◽  
Training Error

The diversity of base learners is of utmost importance to a good ensemble. This paper defines a novel measurement of diversity, termed as exclusivity. With the designed exclusivity, we further propose an ensemble SVM classifier, namely Exclusivity Regularized Machine (ExRM), to jointly suppress the training error of ensemble and enhance the diversity between bases. Moreover, an Augmented Lagrange Multiplier based algorithm is customized to effectively and efficiently seek the optimal solution of ExRM. Theoretical analysis on convergence, global optimality and linear complexity of the proposed algorithm, as well as experiments are provided to reveal the efficacy of our method and show its superiority over state-of-the-arts in terms of accuracy and efficiency.

Solution Sets of Convex Programs Related to Chemical Equilibrium Problems

1973 ◽  
Vol 21 (1) ◽  
pp. 240-246 ◽  
Author(s):  
K. O. Kortanek ◽  
W. O. Rom ◽  
A. L. Soyster
Keyword(s):  
Chemical Equilibrium ◽  
Equilibrium Problems ◽  
Convex Programs ◽  
Solution Sets
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