Following the classical exponential penalty function method of mathematical programming, the exponential penalty function method of multiobjective programming problems (MOPP) is constructed and its convergence is proved. In addition, the approach is applied to solving a finite min-max MOPP.
Feature selection (FS) is an important preprocessing step in machine learning and data mining. In this paper, a new feature subset evaluation method is proposed by constructing a sample graph (SG) in different k-features and applying community modularity to select highly informative features as a group. However, these features may not be relevant as an individual. Furthermore, relevant in-dependency rather than irrelevant redundancy among the selected features is effectively measured with the community modularity Q value of the sample graph in the k-features. An efficient FS method called k-features sample graph feature selection is presented. A key property of this approach is that the discriminative cues of a feature subset with the maximum relevant in-dependency among features can be accurately determined. This community modularity-based method is then verified with the theory of k-means cluster. Compared with other state-of-the-art methods, the proposed approach is more effective, as verified by the results of several experiments.
Abstract. Description of probability distribution characteristics of wind power ramp events is always a challenge in grid-connected wind power operation analysis. In this paper, a moving ratio based approach of wind power ramp events is introduced and an probability model is described for the wind ramp events. The proposed model is useful to estimate the relationship between power ramp events and the variability of the wind power. The proposed model is able to satisfactorily approximate the actual distribution of wind power ramp events . It is shown that the linear difference based ramp distribution can be calculated using the proposed moving ratio based approach. The proposed model can be an effective tool in planning for wind power ramp control.
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