2022
DOI: 10.3390/math10152559
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A New Clustering Method Based on the Inversion Formula

Abstract: Data clustering is one area of data mining that falls into the data mining class of unsupervised learning. Cluster analysis divides data into different classes by discovering the internal structure of data set objects and their relationship. This paper presented a new density clustering method based on the modified inversion formula density estimation. This new method should allow one to improve the performance and robustness of the k-means, Gaussian mixture model, and other methods. The primary process of the… Show more

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Cited by 8 publications
(3 citation statements)
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“…CBMIDE (clustering based on the modified inversion formula density estimation) [71] and RCBMIDE (reduced clustering based on the modified inversion formula density estimation) [72] are novel clustering methods that leverage the modified inversion density estimation to effectively capture the underlying structure of the data. In contrast to the traditional methods such as the Gaussian mixtures models, CBMIDE focuses on the reciprocal distance between the data points and the cluster centers, thereby providing a more robust estimation of the density structure.…”
Section: Clustering Methods Used In the Researchmentioning
confidence: 99%
“…CBMIDE (clustering based on the modified inversion formula density estimation) [71] and RCBMIDE (reduced clustering based on the modified inversion formula density estimation) [72] are novel clustering methods that leverage the modified inversion density estimation to effectively capture the underlying structure of the data. In contrast to the traditional methods such as the Gaussian mixtures models, CBMIDE focuses on the reciprocal distance between the data points and the cluster centers, thereby providing a more robust estimation of the density structure.…”
Section: Clustering Methods Used In the Researchmentioning
confidence: 99%
“…In recent years, K-means clustering, the Gaussian mixture model (GMM), and mixtures of multivariate clustering algorithms have been applied to the field of chemistry, which has promoted the application of unsupervised learning in other disciplines [18]. With the development of technology, Mantas Lukauskas et al [19] proposed a density clustering method based on improved inverse formula density estimation. The new method has a good effect when dealing with low dimensional data.…”
Section: Optics Clustering Algorithmmentioning
confidence: 99%
“…According to Lukauskas and Ruzgas [ 5 ], regardless of the fact that there are numerous clustering methods, the subject addressed remains as a complex matter. There is a great need for alternate procedures because typical clustering algorithms do not commonly work well with all types of datasets.…”
Section: Introductionmentioning
confidence: 99%