Revisiting Compactness for District Plans
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912177528504320 |
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| author | Tapp, Kristopher |
| author_facet | Tapp, Kristopher |
| contents | Modern sampling methods create ensembles of district maps that score well on discrete compactness scores, whereas the Polsby-Popper and other shape-based scores remain highly relevant for building fair maps and litigating unfair ones. The aim of this paper is twofold. First, we introduce population-weighted versions of shape-based scores and show a precise sense in which this interpolates between shape-based and discrete scores. Second, we introduce a modification of the ReCom sampling method that produces ensembles of maps with improved shape-based compactness scores. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_02325 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revisiting Compactness for District Plans Tapp, Kristopher Physics and Society Computer Vision and Pattern Recognition 05C05, 05C90, 60J20, 05C85 Modern sampling methods create ensembles of district maps that score well on discrete compactness scores, whereas the Polsby-Popper and other shape-based scores remain highly relevant for building fair maps and litigating unfair ones. The aim of this paper is twofold. First, we introduce population-weighted versions of shape-based scores and show a precise sense in which this interpolates between shape-based and discrete scores. Second, we introduce a modification of the ReCom sampling method that produces ensembles of maps with improved shape-based compactness scores. |
| title | Revisiting Compactness for District Plans |
| topic | Physics and Society Computer Vision and Pattern Recognition 05C05, 05C90, 60J20, 05C85 |
| url | https://arxiv.org/abs/2501.02325 |