2017
DOI: 10.1016/j.patcog.2016.06.009
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Joint hypergraph learning and sparse regression for feature selection

Abstract: In this paper, we propose a uniÞed framework for improved structure estimation and feature selection. Most existing graph-based feature selection methods utilise a static representation of the structure of the available data based on the Laplacian matrix of a simple graph. Here on the other hand, we perform data structure learning and feature selection simultaneously. To improve the estimation of the manifold representing the structure of the selected features, we use a higher order description of the neighbou… Show more

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Cited by 63 publications
(27 citation statements)
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“…The twelve features are features of Modbus_traffic data set selected by FAFS method. (4,6,9,11,12,18,25,16,22,23,14) 0.5737 (4,6,9,11,12,18,25,22,23,14,16) 0.5737 (4,6,9,11,12,18,25,16,23,14,22) 0.5737 (1,4,6,9,11,12,16,22,23,14,25) 0.5737 … … … … (1,4,6,9,11,12,22,23,14,25,…”
Section: Experimental Results and Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…The twelve features are features of Modbus_traffic data set selected by FAFS method. (4,6,9,11,12,18,25,16,22,23,14) 0.5737 (4,6,9,11,12,18,25,22,23,14,16) 0.5737 (4,6,9,11,12,18,25,16,23,14,22) 0.5737 (1,4,6,9,11,12,16,22,23,14,25) 0.5737 … … … … (1,4,6,9,11,12,22,23,14,25,…”
Section: Experimental Results and Analysismentioning
confidence: 99%
“…Over-fitting can be effectively avoided, and the complexity of time and space can be reduced by feature selection method adopted in initial data sets. The accuracy of detection can be improved as well [6].…”
Section: Introductionmentioning
confidence: 99%
“…(9) Update the luciferin l i and the radial range local-decision domain r i d . (10) if rand < r 1 do (11) N glowworms are divided into three subpopulations according to their MFD. (12) Perform the coevolution mechanism to create offspring glowworms and update their parent glowworms.…”
Section: Mathematical Problems In Engineeringmentioning
confidence: 99%
“…Different evaluation methods have great relationship with the optimal subset. For example, information theory [11][12][13], distance analysis [4], rough sets [14][15][16][17], and fractal dimension [18][19][20]. Fractal dimension is treated as an evaluation criterion, which attracts many scholars' attentions.…”
Section: Introductionmentioning
confidence: 99%
“…To reveal multiple properties of the data, hypergraph was introduced into the field of machine learning [35], [36], [37]. In hypergraph, each hyperedge contains more than two vertices while the traditional graph just has two vertices on each edge [38], [39]. Subsequently, a series of hypergraph learning methods have been developed for DR of the data.…”
Section: Introductionmentioning
confidence: 99%