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Aggregates Classification01:29

Aggregates Classification

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Aggregate classification is generally based on its size, petrographic characteristics, weight, and source. Size classification ranges from coarse to fine aggregates, defined by the size of the particles. Coarse aggregates are particles that do not pass through ASTM sieve No. 4, and aggregates that pass through the sieve are fine aggregates.
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Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,
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    This study introduces class-constrained t-SNE, a novel dimensionality reduction technique. It integrates data features and class probabilities for enhanced model evaluation and interactive labeling.

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    Area of Science:

    • Machine Learning
    • Data Visualization
    • Computer Science

    Background:

    • Evaluating machine learning models often involves analyzing data features and class probabilities separately.
    • Existing dimensionality reduction (DR) methods typically focus on only one of these perspectives.
    • Integrating both data features and class probabilities in DR is challenging but crucial for comprehensive analysis.

    Purpose of the Study:

    • To develop a novel dimensionality reduction approach that combines data features and class probabilities into a unified visualization.
    • To enable more effective model evaluation and interactive labeling by leveraging both data and probability information.
    • To provide users with control over the balance between data features and class probabilities in the DR output.

    Main Methods:

    • Proposes class-constrained t-SNE, a new dimensionality reduction technique.
    • Combines data features and class probabilities by optimizing a cost function with two components: data point positions and class landmarks.
    • Introduces an interactive user-adjustable parameter to balance the influence of data features and class probabilities.

    Main Results:

    • Successfully integrates data features and class probabilities within a single DR result.
    • Demonstrates application potential in model evaluation and visual-interactive labeling.
    • Comparative analysis validates the effectiveness of the proposed DR approach.

    Conclusions:

    • Class-constrained t-SNE offers a unified perspective for analyzing data features and class probabilities.
    • The method enhances model evaluation and facilitates interactive labeling through integrated visualization.
    • User control over perspective weighting preserves mental maps and allows focused analysis.