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Behavior of Concrete Under Compressive Load01:23

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Concrete exhibits specific behaviors under different compressive loads. Understanding this is crucial for understanding its structural integrity. When concrete undergoes uniaxial compression, it tends to develop cracks that run parallel to the direction of the force. These parallel cracks stem from localized tensile stresses that occur perpendicular to the compression direction. Additionally, angled cracks may appear due to the formation of shear planes.
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Information-Theoretic Compressive Measurement Design.

Liming Wang, Minhua Chen, Miguel Rodrigues

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    Summary
    This summary is machine-generated.

    A new framework optimizes feature design and compressive measurements using an information-theoretic metric (ITM). This approach, validated experimentally, reduces the number of required measurements for signal recovery and classification tasks.

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    Area of Science:

    • Information Theory
    • Signal Processing
    • Machine Learning

    Background:

    • Feature design and compressive measurements are crucial in data analysis.
    • Existing methods may require numerous measurements, impacting efficiency.
    • Information-theoretic approaches offer potential for optimized measurement strategies.

    Purpose of the Study:

    • To propose a novel information-theoretic projection design framework.
    • To investigate its application in feature design and compressive measurements.
    • To analyze the impact of measurement models and parameter settings on design efficiency.

    Main Methods:

    • Development of an information-theoretic metric (ITM) and derivation of its gradient.
    • Application of a gradient-descent algorithm for projection design.
    • Consideration of both Gaussian and Poisson measurement models.
    • Theoretical analysis for Gaussian models with arbitrary input statistics.

    Main Results:

    • The study reveals the fundamental solution structure for Gaussian measurement models.
    • ITM parameter settings directly influence the number of required projection measurements.
    • Experimental verification confirms the theoretical findings.
    • Promising results achieved on real data for signal recovery and classification.

    Conclusions:

    • The proposed information-theoretic projection design framework is effective for optimizing measurements.
    • The ITM provides a principled way to balance information content and measurement cost.
    • This framework has practical implications for efficient data acquisition and analysis.