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Correlation01:09

Correlation

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In statistics, two variables are said to be correlated if the values of one variable are associated with the other variable. Depending on the relationship between two variables, correlation can be of three types– positive correlation, negative correlation, and zero correlation.
Two variables, for example, a and b, are said to be positively correlated if both variables move in the same direction. In other words, a positive correlation exists between two variables, a and b, if:
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Correlation means that there is a relationship between two or more variables (such as ice cream consumption and crime), but this relationship does not necessarily imply cause and effect. When two variables are correlated, it simply means that as one variable changes, so does the other. We can measure correlation by calculating a statistic known as a correlation coefficient. A correlation coefficient is a number from -1 to +1 that indicates the strength and direction of the relationship between...
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In statistics, correlation describes the degree of association between two variables. In the subfield of linear regression, correlation is mathematically expressed by the correlation coefficient, which describes the strength and direction of the relationship between two variables. The coefficient is symbolically represented by 'r' and ranges from -1 to +1. A positive value indicates a positive correlation where the two variables move in the same direction. A negative value suggests a...
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In a linear calibration curve, there is a value called the calibration coefficient, denoted by 'r,' which measures the strength and the direction of association between two variables. The correlation coefficient value ranges from −1 to +1. A value of +1 indicates a perfect positive linear correlation, −1 denotes a perfect negative correlation, and 0 implies no correlation between the two variables. A positive correlation value establishes that as one variable increases, the...
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In a three-phase circuit, line loss is an indicator of energy dissipated as heat due to the resistance of transmission lines. To address this, incorporating transformers into the system—a step-up transformer at the source and a step-down transformer at the load—is a strategic solution. Two three-phase transformers are introduced to improve this.
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Eye Movement Monitoring of Memory
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Correlation Verification for Image Retrieval and Its Memory Footprint Optimization.

Seongwon Lee, Hongje Seong, Suhyeon Lee

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    A new Correlation Verification Network (CVNet) improves image retrieval accuracy. An extension, Dense-to-Sparse CVNet, significantly reduces memory usage without sacrificing performance.

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    Area of Science:

    • Computer Vision
    • Artificial Intelligence
    • Machine Learning

    Background:

    • Conventional image retrieval often relies on geometric re-ranking.
    • Existing methods can be computationally expensive, requiring multi-scale inference.
    • High memory usage is a limitation for dense feature storage in large-scale retrieval.

    Purpose of the Study:

    • To introduce a novel image retrieval network, CVNet, that replaces traditional geometric re-ranking.
    • To develop an efficient cross-scale matching mechanism.
    • To address the memory limitations of CVNet through a sparsification approach.

    Main Methods:

    • Proposed Correlation Verification Network (CVNet) utilizing a 4D convolutional neural network.
    • Implemented feature pyramids for efficient cross-scale feature correlation in a single inference.
    • Employed curriculum learning with the Hide-and-Seek strategy for challenging samples.
    • Introduced Dense-to-Sparse CVNet with a sparsification module using a Gumbel estimator to reduce memory footprint.

    Main Results:

    • CVNet achieved state-of-the-art performance on multiple image retrieval benchmarks.
    • Dense-to-Sparse CVNet significantly reduced memory usage.
    • The sparsification process in Dense-to-Sparse CVNet preserved performance levels comparable to the original CVNet.
    • Offline sparsification ensured no increase in online extraction and matching times.

    Conclusions:

    • CVNet offers a powerful alternative to conventional geometric re-ranking for image retrieval.
    • Dense-to-Sparse CVNet effectively mitigates the memory constraints of CVNet, making it practical for real-world applications.
    • The proposed sparsification method provides a scalable solution for large-scale image retrieval systems.