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Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...
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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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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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A simple method for unsupervised anomaly detection: An application to Web time series data.

Keisuke Yoshihara1, Kei Takahashi2,3

  • 1Center for Mathematics and Data Science, Gunma University, Maebashi, Gunma, Japan.

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|January 11, 2022
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Summary
This summary is machine-generated.

This study introduces a new anomaly detection method for unlabeled time series data using density ratio estimation. The approach demonstrates strong performance on benchmark datasets and real-world web data, highlighting the importance of time series specifics.

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Area of Science:

  • Data Science
  • Machine Learning
  • Time Series Analysis

Background:

  • Anomaly detection in unlabeled time series data is challenging.
  • Existing methods may lack tractability for non-technical users.

Purpose of the Study:

  • To propose a simple and tractable anomaly detection method for unlabeled time series data.
  • To evaluate the method's performance on benchmark and real-world datasets.

Main Methods:

  • Utilizes density ratio estimation based on a state space model.
  • Employs a detection rule based on the ratio of log-likelihoods from a dynamic linear model and a NULL model.

Main Results:

  • Achieves comparable or superior performance on Yahoo S5 and Numenta Anomaly Benchmark datasets.
  • Successfully applied to unlabeled web time series data (e-commerce page views, session duration).
  • Identified that increased page views from newsletters are less likely to lead to insurance contracts.

Conclusions:

  • Incorporating time series specific information is crucial for effective anomaly detection.
  • The proposed method is applicable to unlabeled real-world data.
  • Simultaneous monitoring of multiple time series is recommended.