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October 30, 2026
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Triclusters of Close Values for the Analysis of 3D Data

Automation and Remote Control. 2022. Vol. 83. No. 6. P. 894–902.
Egurnov D., Ignatov D. I.

Abstract: The paper deals with the problem of triclustering in multivalued triadic contexts in termsof one multidimensional extension of formal concept analysis; triclustering can be viewed as asearch for dense subtensors in three-dimensional tensors over the field of real numbers. Twomethods are proposed for solving this problem, namely, NOAC—a version of the OACtriclustering method for numerical data based on delta operators—and a triadic version ofthek-means method with an improved metric based on Manhattan distance andproximity predicates in each of the three dimensions. Numerical experiments are carried out bothon real and synthetic data and confirm the superiority of the NOAC method in terms of theperformance criteria for the resulting triclusters. © 2022, Pleiades Publishing, Ltd.

Research target: Computer Science Mathematics
Language: English
DOI
Keywords: Formal Concept Analysistriclustering3D tensormultivalued context
Publication based on the results of:
Development of mathematical models and methods for natural language processing, knowledge discovery in data and recommender systems (2022)
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