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What Are Outliers?

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Outliers are observed data points that are far from the least squares line. They have unusual values and need to be examined carefully. Though an outlier may result from erroneous data, at other times, it may hold valuable information about the population under study and should be included in the data. Hence, it is crucial to examine what causes a data point to be an outlier.
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Sometimes, a data set can have a recorded numerical observation that greatly  deviates from the rest of the data. Assuming that the data is normally distributed, a statistical method called the Grubbs test can be used to determine whether the observation is truly an outlier.  To perform a two-tailed Grubbs test, first, calculate the absolute difference between the outlier and the mean. Then, calculate the ratio between this difference and the standard deviation of the sample. This...
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An outlier is an observation of data that does not fit the rest of the data. It is sometimes called an extreme value. When you graph an outlier, it will appear not to fit the pattern of the graph. Some outliers are due to mistakes (for example, writing down 50 instead of 500), while others may indicate that something unusual is happening. Outliers are present far from the least squares line in the vertical direction. They have large "errors," where the "error" or residual is the...
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When one or more data points appear far from the rest of the data, there is a need to determine whether they are outliers and whether they should be eliminated from the data set to ensure an accurate representation of the measured value. In many cases, outliers arise from gross errors (or human errors) and do not accurately reflect the underlying phenomenon. In some cases, however, these apparent outliers reflect true phenomenological differences. In these cases, we can use statistical methods...
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A standard box and whisker plot informs us about the spread of the data in a given sample. One can identify the minimum value, maximum value, first quartile value, second quartile or median value, and third quartile.
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Unusual results are those that have a very low chance of occurring. Unusual results can be identified using probabilities and the range rule of thumb. In problems involving probability, unusual results can be observed in 2 instances – an unusually high number of successes or an unusually low number of successes.
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E 3Outlier: a Self-Supervised Framework for Unsupervised Deep Outlier Detection.

Siqi Wang, Yijie Zeng, Guang Yu

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    Summary
    This summary is machine-generated.

    This study introduces E³Outlier, a novel framework for unsupervised deep outlier detection using self-supervision. It effectively removes outliers from visual data by prioritizing inliers and measuring network uncertainty, outperforming existing methods.

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    Area of Science:

    • Computer Science
    • Artificial Intelligence
    • Machine Learning

    Background:

    • Unsupervised outlier detection (OD) struggles with large visual datasets.
    • Deep neural networks (DNNs) are effective for visual data but challenging for unsupervised OD.

    Purpose of the Study:

    • Propose E³Outlier, a novel framework for effective, end-to-end deep outlier removal.
    • Introduce self-supervision into deep OD to address limitations of existing methods.

    Main Methods:

    • Employ a discriminative learning paradigm with pseudo-classes from unlabeled data.
    • Utilize inlier priority during self-supervised learning for end-to-end OD.
    • Explore network uncertainty as an outlierness measure with score refinement strategies.

    Main Results:

    • E³Outlier significantly outperforms state-of-the-art methods, achieving 10%-30% higher AUROC.
    • Demonstrated effectiveness across various datasets and potential for video abnormal event detection.
    • Explored generative and contrastive learning paradigms for further performance gains.

    Conclusions:

    • E³Outlier provides an effective and extendable solution for unsupervised deep outlier detection.
    • Self-supervision, inlier priority, and network uncertainty are key to successful deep OD.
    • The framework shows promise for diverse OD applications beyond image analysis.