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Electron Configuration of Multielectron Atoms03:26

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The alkali metal sodium (atomic number 11) has one more electron than the neon atom. This electron must go into the lowest-energy subshell available, the 3s orbital, giving a 1s22s22p63s1 configuration. The electrons occupying the outermost shell orbital(s) (highest value of n) are called valence electrons, and those occupying the inner shell orbitals are called core electrons. Since the core electron shells correspond to noble gas electron configurations, we can abbreviate electron...
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Controller configurations are crucial in a car's cruise control system because they manage speed over time to maintain a consistent pace regardless of road conditions, thereby meeting design goals. In traditional control systems, fixed-configuration design involves predetermined controller placement. System performance modifications are known as compensation.
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2-D Stochastic Configuration Networks for Image Data Analytics.

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    Stochastic configuration networks (SCNs) are enhanced with a 2-D version (2DSCNs) to effectively process image data. This new model preserves spatial information, outperforming traditional SCNs in various image analytics tasks.

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    Area of Science:

    • Machine Learning
    • Computer Vision
    • Data Analytics

    Background:

    • Stochastic Configuration Networks (SCNs) are effective randomized models for data analytics, known for universal approximation and fast modeling.
    • Traditional 1-D SCNs may lose crucial spatial information when applied to image data, potentially limiting performance.
    • Randomized neural networks often rely on data-independent randomization, which may not be optimal for complex data structures.

    Purpose of the Study:

    • To extend Stochastic Configuration Networks (SCNs) to a 2-D version (2DSCNs) for improved image data modeling.
    • To address the limitations of 1-D SCNs in preserving spatial information for matrix inputs.
    • To provide theoretical and empirical validation for the efficacy of 2DSCNs in image analytics.

    Main Methods:

    • Development of a 2-D Stochastic Configuration Network (2DSCN) architecture.
    • Theoretical analysis comparing 2DSCNs and SCNs regarding parameter space complexity and generalization.
    • Empirical evaluation on diverse image datasets including regression, digit classification, face recognition, and natural image databases.

    Main Results:

    • 2DSCNs effectively model matrix inputs, preserving spatial information crucial for image data.
    • Theoretical analysis indicates potential advantages of 2DSCNs in generalization and parameter space complexity.
    • Empirical results demonstrate favorable performance of 2DSCNs across multiple image-based tasks compared to traditional SCNs.

    Conclusions:

    • The proposed 2DSCNs offer a robust and efficient approach for image data analytics.
    • 2DSCNs show significant potential for applications requiring fast and accurate modeling of matrix-structured data.
    • Extending SCNs to 2-D is a promising direction for enhancing randomized learning models in computer vision and related fields.