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Active learning of constraints for weighted feature selection. (English) Zbl 07363877

Summary: Pairwise constraints, a cheaper kind of supervision information that does not need to reveal the class labels of data points, were initially suggested to enhance the performance of clustering algorithms. Recently, researchers were interested in using them for feature selection. However, in most current methods, pairwise constraints are provided passively and generated randomly over multiple algorithmic runs by which the results are averaged. This leads to the need of a large number of constraints that might be redundant, unnecessary, and under some circumstances even inimical to the algorithm’s performance. It also masks the individual effect of each constraint set and introduces a human labor-cost burden. Therefore, in this paper, we suggest a framework for actively selecting and then propagating constraints for feature selection. For that, we benefit from the graph Laplacian that is defined on the similarity matrix. We assume that when a small perturbation of the similarity value between a data couple leads to a more well-separated cluster indicator based on the second eigenvector of the graph Laplacian, this couple is definitely expected to be a pairwise query of higher and more significant impact. Constraints propagation on the other side ensures increasing supervision information while decreasing the cost of human-labor. Finally, experimental results validated our proposal in comparison to other known feature selection methods and proved to be prominent.

MSC:

15A18 Eigenvalues, singular values, and eigenvectors
65F15 Numerical computation of eigenvalues and eigenvectors of matrices
62H30 Classification and discrimination; cluster analysis (statistical aspects)
68T10 Pattern recognition, speech recognition
47N10 Applications of operator theory in optimization, convex analysis, mathematical programming, economics

Software:

UCI-ml; Outex
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