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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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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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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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The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data values and the mean.
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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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Measures of variability are statistical metrics that reveal the dispersion pattern within a dataset. They are pivotal in biostatistics, providing insights into the heterogeneity within health and biological data. Variability signifies the degree to which data points diverge from one another, helping researchers understand the potential range of values and associated uncertainty within the data.
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A trajectory outlier detection method based on variational auto-encoder.

Longmei Zhang1, Wei Lu2, Feng Xue2

  • 1School of Communication and Information Engineering, Xi'an University of Science and Technology, Xi'an 710054, China.

Mathematical Biosciences and Engineering : MBE
|September 7, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces a variational auto-encoder model for trajectory outlier detection, achieving over 95% accuracy in identifying abnormal traffic patterns. The model efficiently detects unusual trajectories in real-time, outperforming existing methods.

Keywords:
machine learningtrajectory outlier detectiontrajectory similarityvariational auto-encoder

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Area of Science:

  • Data Science
  • Machine Learning
  • Traffic Engineering

Background:

  • Trajectory data analysis is crucial for identifying abnormal phenomena and predicting traffic risks.
  • Existing outlier detection methods often face challenges in computational efficiency and manual threshold setting.

Purpose of the Study:

  • To propose a novel trajectory outlier detection model using a variational auto-encoder.
  • To enhance the accuracy and efficiency of detecting abnormal trajectories in urban traffic.

Main Methods:

  • Encoding trajectory data into distribution parameters based on urban traffic statistics.
  • Training an auto-encoder network to maximize the generation probability of original trajectories.
  • Detecting outliers by measuring the difference between original and generated trajectories.

Main Results:

  • Achieved over 95% accuracy, surpassing density-based, classification-based, and recent machine learning methods.
  • Demonstrated high computational efficiency suitable for real-time detection scenarios.
  • Showcased stable convergence during training with scalability in training time.

Conclusions:

  • The proposed variational auto-encoder model offers an effective and efficient solution for trajectory outlier detection.
  • The model simplifies threshold setting and is highly applicable to real-world traffic monitoring.
  • This approach significantly advances the field of abnormal trajectory identification.