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  1. 14121

    Some Novel Concepts of Bipolar Picture Fuzzy Influence Graphs Models With Application Toward MADM by Waheed Ahmad Khan, Mahnoor Bushra, Trung Tuan Nguyen, Minh Hoan Pham, Hai van Pham

    Published 2025-01-01
    “…Due to its inherent prosperities, bipolar picture fuzzy influence graphs is a powerful mathematical tool for addressing uncertain problems where fuzzy influence graphs, bipolar fuzzy influence graph and picture fuzzy influence graph may fail to yield precise results. …”
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    Noise-resilient designs and analysis for optical neural networks by Gianluca Kosmella, Ripalta Stabile, Jaron Sanders

    Published 2024-01-01
    “…To establish the latter, we analyze the designs mathematically. Specifically, we investigate a probabilistic framework for the tree-like design that establishes the correctness of the design, i.e. for any feed-forward NN with Lipschitz continuous activation functions, an ONN can be constructed that produces output arbitrarily close to the original. …”
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    Stratifications and foliations in phase portraits of gene network models by V. P. Golubyatnikov, A. A. Akinshin, N. B. Ayupova, L. S. Minushkina

    Published 2023-01-01
    “…In the preparation of numerical experiments with such mathematical models, it is useful to start with studies of qualitative behavior of ensembles of trajectories of the corresponding dynamical systems, in particular, to estimate the highest likelihood domain of the initial data, to solve inverse problems of parameter identification, to list the equilibrium points and their characteristics, to localize cycles in the phase portraits, to construct stratification of the phase portraits to subdomains with different qualities of trajectory behavior, etc. …”
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