On spectral clustering under non-isotropic Gaussian mixture models
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866915928899321856 |
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| author | Kawamoto, Kohei Goto, Yuichi Tsukuda, Koji |
| author_facet | Kawamoto, Kohei Goto, Yuichi Tsukuda, Koji |
| contents | We evaluate the misclustering probability of a spectral clustering algorithm under a Gaussian mixture model with a general covariance structure. The algorithm partitions the data into two groups based on the sign of the first principal component score. As a corollary of the main result, the clustering procedure is shown to be consistent in a high-dimensional regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13930 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On spectral clustering under non-isotropic Gaussian mixture models Kawamoto, Kohei Goto, Yuichi Tsukuda, Koji Statistics Theory 62H30, 62H25, 62H12 We evaluate the misclustering probability of a spectral clustering algorithm under a Gaussian mixture model with a general covariance structure. The algorithm partitions the data into two groups based on the sign of the first principal component score. As a corollary of the main result, the clustering procedure is shown to be consistent in a high-dimensional regime. |
| title | On spectral clustering under non-isotropic Gaussian mixture models |
| topic | Statistics Theory 62H30, 62H25, 62H12 |
| url | https://arxiv.org/abs/2601.13930 |