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Related Concept Videos

Outliers and Influential Points01:08

Outliers and Influential Points

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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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What Are Outliers?01:12

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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.
The z score is used to find outliers or unusual values. It should be noted that any values beyond -2 and +2 are...
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Quantifying and Rejecting Outliers: The Grubbs Test01:02

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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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Detection of Gross Error: The Q Test01:00

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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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Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

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Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...
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Regression Toward the Mean01:52

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Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when...
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Deep Learning Versus Traditional Solutions for Group Trajectory Outliers.

Asma Belhadi, Youcef Djenouri, Djamel Djenouri

    IEEE Transactions on Cybernetics
    |November 17, 2020
    PubMed
    Summary

    A new deep learning model effectively identifies trajectory outliers in large datasets. This advanced approach surpasses traditional data mining and machine learning methods in both speed and accuracy.

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    Area of Science:

    • Computer Science
    • Data Science
    • Artificial Intelligence

    Background:

    • Trajectory data analysis is crucial for understanding movement patterns.
    • Identifying outliers in large trajectory datasets presents significant computational challenges.
    • Existing methods often struggle with accuracy and efficiency.

    Purpose of the Study:

    • To introduce a novel model for identifying groups of trajectory outliers.
    • To propose and evaluate multiple algorithms for outlier detection.
    • To compare the performance of different algorithmic approaches.

    Main Methods:

    • Development of algorithms based on data mining and knowledge discovery.
    • Implementation of machine learning and computational intelligence techniques, including ensemble learning and metaheuristics.
    • Exploration of a convolution deep neural network for feature learning and outlier identification.

    Main Results:

    • Experimental validation on diverse trajectory databases was conducted.
    • The deep learning approach demonstrated superior performance compared to other methods.
    • The proposed convolution deep neural network achieved state-of-the-art runtime and accuracy.

    Conclusions:

    • Deep learning offers a highly effective solution for group trajectory outlier detection.
    • The novel convolution deep neural network model provides significant advantages in performance.
    • This research advances the field of trajectory data analysis and outlier identification.