Pearson Correlations on Networks: Corrigendum
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916126050484224 |
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| author | Coscia, Michele Devriendt, Karel |
| author_facet | Coscia, Michele Devriendt, Karel |
| contents | Recently, the first author proposed a measure to calculate Pearson correlations for node values expressed in a network, by taking into account distances or metrics defined on the network. In this technical note, we show that using an arbitrary choice of distances might result in imaginary or unbounded correlation values, which is undesired. We prove that this problem is solved by restricting to a special class of distances: negative type metrics. We also discuss two natural classes of negative type metrics on graphs, for which the network correlations are properly defined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09489 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pearson Correlations on Networks: Corrigendum Coscia, Michele Devriendt, Karel Social and Information Networks Data Analysis, Statistics and Probability Physics and Society Recently, the first author proposed a measure to calculate Pearson correlations for node values expressed in a network, by taking into account distances or metrics defined on the network. In this technical note, we show that using an arbitrary choice of distances might result in imaginary or unbounded correlation values, which is undesired. We prove that this problem is solved by restricting to a special class of distances: negative type metrics. We also discuss two natural classes of negative type metrics on graphs, for which the network correlations are properly defined. |
| title | Pearson Correlations on Networks: Corrigendum |
| topic | Social and Information Networks Data Analysis, Statistics and Probability Physics and Society |
| url | https://arxiv.org/abs/2402.09489 |