Coloured Graphical Models and their Symmetries
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866910781287694336 |
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| author | Davies, Isobel Marigliano, Orlando |
| author_facet | Davies, Isobel Marigliano, Orlando |
| contents | Coloured graphical models are Gaussian statistical models determined by an undirected coloured graph. These models can be described by linear spaces of symmetric matrices. We outline a relationship between the symmetries of the graph and the linear forms that vanish on the reciprocal variety of the model. In particular, we give four families for which such linear forms are completely described by symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_01905 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Coloured Graphical Models and their Symmetries Davies, Isobel Marigliano, Orlando Algebraic Geometry Statistics Theory 62R01, 05C50 Coloured graphical models are Gaussian statistical models determined by an undirected coloured graph. These models can be described by linear spaces of symmetric matrices. We outline a relationship between the symmetries of the graph and the linear forms that vanish on the reciprocal variety of the model. In particular, we give four families for which such linear forms are completely described by symmetries. |
| title | Coloured Graphical Models and their Symmetries |
| topic | Algebraic Geometry Statistics Theory 62R01, 05C50 |
| url | https://arxiv.org/abs/2012.01905 |