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Titlebook: Learning and Intelligent Optimization; 16th International C Dimitris E. Simos,Varvara A. Rasskazova,Panos M. P Conference proceedings 2022

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Separating Two Polyhedra Utilizing Alternative Theorems and Penalty Functionics and functional analysis. In this paper, we introduce a new algorithm for constructing a family of parallel hyperplanes that separates two disjoint polyhedra given by a system of linear inequalities. To do this, we consider the alternative system and introduce its dual problem using the alternati
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A Stochastic Alternating Balance ,-Means Algorithm for Fair Clusteringering outcome might discriminate against people across different demographic groups, leading to unfairness. A natural conflict occurs between the cost of clustering (in terms of distance to cluster centers) and the balance representation of all demographic groups across the clusters, leading to a bi
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ML-Based Approach for Accelerating Global Search Algorithm for Solving Multicriteria Problems Peano curves and efficient global search algorithm. The novelty of the approach consists in application of machine learning methods combined with utilizing a posteriori information for acceleration of the search. Effectiveness of the proposed approach has been demonstrated by means of solving a set
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