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Related Concept Videos

Correlations02:20

Correlations

33.8K
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

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 and Regression00:53

Correlation and Regression

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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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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:
The value of r is always between –1 and +1: –1 ≤ r ≤ 1.
The size of the correlation r indicates the...
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Correlation and Causation01:27

Correlation and Causation

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Statistical tests can calculate whether there is a relationship, or correlation, between independent and dependent variables. An indirect relationship of the variables signifies a correlation, while a direct relationship shows causation. If it is determined that no connection exists between the variables, then the correlation is a coincidence.
Correlation versus Causation
If the dependent variable increases or decreases when the independent variable increases, there is a positive or negative...
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Calculating and Interpreting the Linear Correlation Coefficient01:11

Calculating and Interpreting the Linear Correlation Coefficient

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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. Hence, it is also known as the Pearson product-moment correlation coefficient. It can be calculated using the following equation:
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Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness
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Relation-Aggregated Cross-Graph Correlation Learning for Fine-Grained Image-Text Retrieval.

Shu-Juan Peng, Yi He, Xin Liu

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    Summary
    This summary is machine-generated.

    This study introduces a novel Relation-Aggregated Cross-Graph (RACG) model for fine-grained image-text retrieval. The RACG model effectively learns semantic correspondence by integrating both intramodal and intermodal relations for improved accuracy.

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    Area of Science:

    • Computer Vision
    • Natural Language Processing
    • Artificial Intelligence

    Background:

    • Fine-grained image-text retrieval is crucial for bridging vision and language modalities.
    • Existing methods often overlook intermodal relations, limiting semantic correspondence learning.
    • Learning fine-grained semantic correspondence across modalities remains a significant challenge.

    Purpose of the Study:

    • To propose a novel Relation-Aggregated Cross-Graph (RACG) model for enhanced fine-grained image-text retrieval.
    • To explicitly learn fine-grained semantic correspondence by aggregating intramodal and intermodal relations.
    • To improve the accuracy and performance of image-text retrieval tasks.

    Main Methods:

    • Constructing semantic-embedded graphs to represent objects and their intramodal relations.
    • Designing a cross-graph relation encoder to capture intermodal relations.
    • Utilizing feature reconstruction and multihead similarity alignment for node-level semantic correspondence optimization.

    Main Results:

    • The proposed RACG model effectively learns fine-grained semantic correspondence.
    • The model achieves competitive performance on benchmark datasets for image-text retrieval.
    • Quantitative and qualitative experiments validate the framework's advantages.

    Conclusions:

    • The RACG model offers a significant advancement in fine-grained image-text retrieval.
    • Integrating intramodal and intermodal relations enhances semantic understanding across modalities.
    • The framework demonstrates state-of-the-art performance and broad applicability.