Pattern recognition, image analysis, imprecise probabilities, theory of nonadditive measure.
Main publications:
Lepskii A. E., “Simmetrichnyi lineinyi indeks netochnosti v klasse nizhnikh veroyatnostei”, Izvestiya RAN. TiSU, 2 (2008), 35–42
Karkischenko A. N., Lepskii A. E., “Indeks netochnosti i ego primenenie k otsenivaniyu apriornoi informativnosti sistem”, Izvestiya RAN. TiSU, 1 (2008), 94–100
Lepskii A. E., “Ob ustoichivosti tsentra mass vektornogo predstavleniya v odnoi veroyatnostnoi modeli zashumleniya kontura izobrazheniya”, Avtomatika i telemekhanika, 2007, № 1, 82–92
Bronevich A. G., Lepskii A. E., “Aksiomaticheskii podkhod k zadache nakhozhdeniya optimalnogo poligonalnogo predstavleniya kontura”, Intellektualnye sistemy, 9:1–4 (2005), 121–134
Karkischenko A. N., Lepskii A. E., “Ob ustoichivosti tsentra mass, vektorov i deskriptora Fure vektornogo predstavleniya kontura izobrazheniya”, Avtomatika i telemekhanika, 2001, № 3, 141–151
A. E. Lepskiy, “Analysis of information inconsistency in belief function theory. Part II: internal conflict”, Probl. Upr., 2021, no. 6, 3–14; Control Sciences, 2021, no. 6, 2–12
2.
A. E. Lepskiy, “Analysis of information inconsistency in belief function theory. Part I: external conflict”, Probl. Upr., 2021, no. 5, 3–19; Control Sciences, 2021, no. 5, 2–16
A. E. Lepskiy, “Decompositional approach for evaluation of internal conflict in the framework of the evidence theory”, Nechetkie Sistemy i Myagkie Vychisleniya, 15:1 (2020), 43–63
A. E. Lepskiy, “Stochastic and fuzzy ordering with the method of minimal transformations”, Avtomat. i Telemekh., 2017, no. 1, 59–79; Autom. Remote Control, 78:1 (2017), 50–66
A. E. Lepskiy, “On stability of the center of masses of the vector representation in one probabilistic model of noiseness of an image contour”, Avtomat. i Telemekh., 2007, no. 1, 82–92; Autom. Remote Control, 68:1 (2007), 75–84
A. N. Karkishchenko, A. E. Lepskiy, “On Stability of the Center of Masses, Vectors, and a Fourier Descriptor of the Vector Representation of an Image Contour”, Avtomat. i Telemekh., 2001, no. 3, 141–151; Autom. Remote Control, 62:3 (2001), 474–484
A. E. Lepskiy, “A superholomorphy criterion and embedding theorems in infinite-dimensional holomorphy”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 11, 72–75; Russian Math. (Iz. VUZ), 36:11 (1992), 70–73
1989
8.
V. A. Kakichev, A. E. Lepskiĭ, “Some properties of holomorphic functions of a countable number of arguments”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 4, 35–46; Soviet Math. (Iz. VUZ), 33:4 (1989), 42–55
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