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The concept of dimension is important because every mathematical equation linking physical quantities must be dimensionally consistent, implying that mathematical equations must meet the following two rules. The first rule is that, in an equation, the expressions on each side of the equal sign must have the same dimensions. This is fairly intuitive since we can only add or subtract quantities of the same type (dimension). The second rule states that, in an equation, the arguments of any of the...
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Dimensional analysis is a valuable technique in fluid mechanics for simplifying complex problems by reducing them into dimensionless groups. These groups capture the essential relationships between the variables involved, allowing researchers and engineers to analyze fluid flow without dealing with each variable individually. This approach reduces the number of independent variables, allowing for easier analysis and better understanding of physical phenomena.
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A flexible framework for anomaly Detection via dimensionality reduction.

Alireza Vafaei Sadr1,2,3, Bruce A Bassett3,4,5, M Kunz1

  • 1Département de Physique Théorique and Center for Astroparticle Physics, University of Geneva, Geneva, Switzerland.

Neural Computing & Applications
|March 16, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces DRAMA, a Python package for anomaly detection in high-dimensional data. DRAMA uses dimensionality reduction and clustering to identify outliers effectively, proving robust and competitive against existing methods.

Keywords:
Anomaly detectionCluster analysisNovelty detectionOutlier detection

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Area of Science:

  • Data Science
  • Machine Learning
  • Statistics

Background:

  • Anomaly detection is crucial but challenging for large, high-dimensional datasets.
  • Existing methods often struggle with scalability and performance in high dimensions.

Purpose of the Study:

  • To present a general anomaly detection framework and its Python implementation, DRAMA.
  • To evaluate DRAMA's robustness and competitiveness on diverse datasets.

Main Methods:

  • Dimensionality reduction and unsupervised clustering to identify data prototypes.
  • Anomaly detection based on distances from prototypes in latent or original spaces.
  • Implementation as a flexible Python package (DRAMA) with various options.

Main Results:

  • DRAMA demonstrates robustness and high competitiveness, especially in datasets up to 3000 dimensions.
  • The framework is effective on both simulated and real-world datasets.
  • Anomalies are identified by their significant distance from identified data prototypes.

Conclusions:

  • DRAMA offers a flexible and effective solution for anomaly detection in high-dimensional data.
  • Its adaptability makes it suitable for online learning, active learning, and imbalanced datasets.
  • The package also facilitates outlier clustering for further analysis.