Geodesic
Stability properties of feature selection measures
Teoriâ veroâtnostej i ee primeneniâ, Tome 69 (2024) no. 1, pp. 33-45

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In this paper, we prove that the monotonicity property of the stability measure for the feature (factor) selection introduced by Nogueira, Sechidis, and Brown [J. Mach. Learn. Res., 18 (2018), pp. 1–54] may not hold. Another monotonicity property takes place. We also show the cases in which it is possible to compare by certain parameters the matrices describing the operation of algorithms for identifying relevant features.
Keywords: selection of relevant features, stability measures of the feature selection algorithm, properties of stability measures. 
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     author = {A. V. Bulinski},
     title = {Stability properties of feature selection measures},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {33--45},
     publisher = {mathdoc},
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     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2024_69_1_a1/}
}
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A. V. Bulinski. Stability properties of feature selection measures. Teoriâ veroâtnostej i ee primeneniâ, Tome 69 (2024) no. 1, pp. 33-45. http://geodesic.mathdoc.fr/item/TVP_2024_69_1_a1/