Category: 7. Maths

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  • Network attack knowledge inference with graph convolutional networks and convolutional 2D KG embeddings

    Network attack knowledge inference with graph convolutional networks and convolutional 2D KG embeddings

    To validate the effectiveness of the KGConvE model in APT attack scenarios, this section introduces the experimental environment configuration, evaluation metrics, and experimental datasets. Parameter experiments are conducted to find the optimal…

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  • Explainability and importance estimate of time series classifier via embedded neural network

    Explainability and importance estimate of time series classifier via embedded neural network

    Verifying Importance via Ground Truth

    When it comes to verification of feature importance, the availability of ground truth makes the verification process trivial. However the ground truth is not always readily available, especially in real world…

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  • GENEOnet: a breakthrough in protein binding pocket detection using group equivariant non-expansive operators

    GENEOnet: a breakthrough in protein binding pocket detection using group equivariant non-expansive operators

    This section introduces the mathematical model that we use to identify pockets. We also explain how the model was trained together with the datasets used for training, model selection and testing.

    Data sources

    During the training, validation, and…

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  • Hierarchical attention enhanced deep learning achieves high precision motor imagery classification in brain computer interfaces

    Hierarchical attention enhanced deep learning achieves high precision motor imagery classification in brain computer interfaces

    Data acquisition and experimental paradigm

    Participants and ethical considerations

    The experimental protocol was designed in accordance with the Declaration of Helsinki and approved by the institutional review board43,44. A total of \(N = 15\)

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  • Interpretable machine learning-guided plasma catalysis for hydrogen production

    Interpretable machine learning-guided plasma catalysis for hydrogen production

  • Global CO2 Emissions from Transport by Sub-sector in the Net Zero Scenario, 2000–2030 (International Energy Agency, 2022); https://www.iea.org/data-and-statistics

  • Anika, O. C. et al. Prospects of low and zero-carbon renewable fuels in 1.5-degree…

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  • Exploring entropy measures in polymer graphs using logarithmic regression model

    Exploring entropy measures in polymer graphs using logarithmic regression model

  • Irfan, M., Rehman, H., Almusawa, H., Rasheed, S. & Baloch, I. A. M-Polynomials and topological indices for line graphs of chain silicate network and H-naphtalenic nanotubes. J. Math. 2021, 5551825 (2021).

    Article 
    MathSciNet 

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  • Diagnostics of diabetic retinopathy based on fundus photos using machine learning methods with advanced feature engineering algorithms

    Diagnostics of diabetic retinopathy based on fundus photos using machine learning methods with advanced feature engineering algorithms

  • Ong, K. L. et al. Global, regional, and national burden of diabetes from 1990 to 2021, with projections of prevalence to 2050: A systematic analysis for the Global Burden of Disease Study 2021. Lancet402, 203–234 (2023).

    Article 

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  • Existence and controllability analysis of multi-term fractional coupled systems with generalized $$[\psi ,w]$$ -Caputo-Fabrizio operators

    Existence and controllability analysis of multi-term fractional coupled systems with generalized $$[\psi ,w]$$ -Caputo-Fabrizio operators

    In this section, we use the fixed-point theorems of Banach, Krasnoselskii, and Schauder to establish theorems on the existence, uniqueness, Ulam-Hyers stability, and controllability of the proposed system (2). Initially, as explained in the…

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