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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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Associative learning is a fundamental concept in behavioral psychology, wherein a connection is established between two stimuli or events, leading to a learned response. This process is critical in understanding how behaviors are acquired and modified. Conditioning, the mechanism through which associations are formed, can be divided into two main types: classical conditioning and operant conditioning, each elucidating different aspects of associative learning.
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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 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.
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Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
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Multiple regression assesses a linear relationship between one response or dependent variable and two or more independent variables. It has many practical applications.
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Related Experiment Video

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A Two-interval Forced-choice Task for Multisensory Comparisons
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Leveraging Bilateral Correlations for Multi-Label Few-Shot Learning.

Yuexuan An, Hui Xue, Xingyu Zhao

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    |April 26, 2024
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    Summary
    This summary is machine-generated.

    This study introduces Bilateral Correlation Reconstruction (BCR), a novel framework for multi-label few-shot learning (ML-FSL). BCR effectively mines instance and label correlations with varying importance, outperforming existing ML-FSL methods.

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    Area of Science:

    • Computer Science
    • Artificial Intelligence
    • Machine Learning

    Background:

    • Multi-label few-shot learning (ML-FSL) aims to classify images with multiple labels using limited training data.
    • Existing ML-FSL methods model instance-label correlations but assume uniform importance, limiting knowledge extraction from few examples.
    • This uniform importance assumption acts as a bottleneck, hindering the full utilization of correlations in ML-FSL.

    Purpose of the Study:

    • To propose a unified framework, Bilateral Correlation Reconstruction (BCR), to address the limitations of uniform importance assumptions in ML-FSL.
    • To enable networks to mine underlying instance and label correlations with varying importance from both instance-to-label and label-to-instance perspectives.

    Main Methods:

    • BCR refines category prototypes by reweighting images based on their instance-importance degree, calculated from instance-category similarity (instance-to-label perspective).
    • BCR smooths image labels by recovering latent label-importance, considering the integrated topology of all samples within a task (label-to-instance perspective).

    Main Results:

    • Experimental results on multiple benchmarks demonstrate the effectiveness of the proposed BCR framework.
    • BCR significantly outperforms existing ML-FSL methods, indicating improved performance in few-shot multi-label image classification.

    Conclusions:

    • The proposed Bilateral Correlation Reconstruction (BCR) framework effectively addresses the bottleneck of uniform importance assumptions in ML-FSL.
    • BCR enhances the mining of instance and label correlations by considering varying importance, leading to superior performance in multi-label few-shot learning tasks.