Outlier Detection Using Vector Cosine Similarity by Adding a Dimension

Fuente: arXiv
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Autore principale: Shen, Zhongyang
Natura: Preprint
Pubblicazione: 2025
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author Shen, Zhongyang
author_facet Shen, Zhongyang
contents We propose a new outlier detection method for multi-dimensional data. The method detects outliers based on vector cosine similarity, using a new dataset constructed by adding a dimension with zero values to the original data. When a point in the new dataset is selected as the measured point, an observation point is created as the origin, differing only in the new dimension by having a non-zero value compared to the measured point. Vectors are then formed from the observation point to the measured point and to other points in the dataset. By comparing the cosine similarities of these vectors, abnormal data can be identified. An optimized implementation (MDOD) is available on PyPI: https://pypi.org/project/mdod/.
format Preprint
id arxiv_https___arxiv_org_abs_2601_00883
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Outlier Detection Using Vector Cosine Similarity by Adding a Dimension
Shen, Zhongyang
Machine Learning
We propose a new outlier detection method for multi-dimensional data. The method detects outliers based on vector cosine similarity, using a new dataset constructed by adding a dimension with zero values to the original data. When a point in the new dataset is selected as the measured point, an observation point is created as the origin, differing only in the new dimension by having a non-zero value compared to the measured point. Vectors are then formed from the observation point to the measured point and to other points in the dataset. By comparing the cosine similarities of these vectors, abnormal data can be identified. An optimized implementation (MDOD) is available on PyPI: https://pypi.org/project/mdod/.
title Outlier Detection Using Vector Cosine Similarity by Adding a Dimension
topic Machine Learning
url https://arxiv.org/abs/2601.00883