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Related Concept Videos

Correlations02:20

Correlations

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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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Correlation01:09

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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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Correspondence Bias01:17

Correspondence Bias

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Correspondence bias, also referred to as the fundamental attribution error, describes the tendency to attribute another person’s behavior to internal characteristics rather than situational influences. This cognitive bias leads individuals to overlook external factors that may be influencing actions, thereby fostering potentially inaccurate assessments of others’ intentions and dispositions.Empirical Evidence for Correspondence BiasResearch has consistently demonstrated the...
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Coefficient of Correlation01:12

Coefficient of Correlation

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The correlation coefficient, r, developed by Karl Pearson in the early 1900s, is numerical and provides a measure of strength and direction of the linear association between the independent variable x and the dependent variable y.
If you suspect a linear relationship between x and y, then r can measure how strong the linear relationship is.
What the VALUE of r tells us:
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Calibration Curves: Correlation Coefficient01:10

Calibration Curves: Correlation Coefficient

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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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Spearman's Rank Correlation Test01:20

Spearman's Rank Correlation Test

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Spearman's rank correlation test, also known as Spearman's rho, is a nonparametric method for assessing the strength and direction of association between two variables. This test is particularly valuable when the data distribution is unknown or when the assumption of normality does not hold. Named after the English psychologist and statistician Dr. Charles Edward Spearman, it serves as the nonparametric counterpart to Pearson's correlation coefficient.
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Cross-Modal Multivariate Pattern Analysis
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Dense Cross-Modal Correspondence Estimation With the Deep Self-Correlation Descriptor.

Seungryong Kim, Dongbo Min, Stephen Lin

    IEEE Transactions on Pattern Analysis and Machine Intelligence
    |January 16, 2020
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    Summary

    We introduce the deep self-correlation (DSC) descriptor for robust image matching across different modalities. This training-free method enhances localization and deformation resilience for computer vision tasks.

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    Area of Science:

    • Computer Vision
    • Image Processing
    • Machine Learning

    Background:

    • Establishing dense correspondences between images is crucial for various computer vision tasks.
    • Existing methods often struggle with images from different modalities (e.g., varying spectral ranges or lighting).
    • Non-rigid deformations and geometric variations pose significant challenges for accurate image matching.

    Purpose of the Study:

    • To present a novel descriptor, deep self-correlation (DSC), for robust dense correspondences between cross-modal images.
    • To develop a geometry-invariant version (GI-DSC) that addresses scale and rotation variations.
    • To offer a training-free, handcrafted alternative to deep learning-based descriptors.

    Main Methods:

    • DSC encodes local self-similar structures in a pyramidal manner.
    • It computes self-correlation surfaces with randomly sampled patches.
    • Spatial pyramid pooling in a log-polar configuration encodes feature responses.
    • GI-DSC incorporates multi-scale computation and canonical orientation estimation.

    Main Results:

    • DSC and GI-DSC demonstrate high robustness to non-rigid image deformations.
    • The descriptors are effective for cross-modality image matching, handling photometric and geometric variations.
    • Extensive experiments show state-of-the-art performance on challenging datasets.
    • The proposed methods are training-free and generalize well across different imaging modalities.

    Conclusions:

    • DSC and GI-DSC are effective handcrafted descriptors for dense cross-modal image correspondence.
    • These methods offer significant advantages in robustness and generalization compared to existing approaches.
    • The training-free nature makes them readily applicable in various computer vision applications.