Redundancy analysis using lcm-filtrations: networks, system signature and sensitivity evaluation
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909602064367616 |
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| author | Mohammadi, Fatemeh Sáenz-de-Cabezón, Eduardo Wynn, Henry |
| author_facet | Mohammadi, Fatemeh Sáenz-de-Cabezón, Eduardo Wynn, Henry |
| contents | We introduce the lcm-filtration and stepwise filtration, comparing their performance across various scenarios in terms of computational complexity, efficiency, and redundancy. The lcm-filtration often involves identical steps or ideals, leading to unnecessary computations. To address this, we analyse how stepwise filtration can effectively compute only the non-identical steps, offering a more efficient approach. We compare these filtrations in applications to networks, system signatures, and sensitivity analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01416 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Redundancy analysis using lcm-filtrations: networks, system signature and sensitivity evaluation Mohammadi, Fatemeh Sáenz-de-Cabezón, Eduardo Wynn, Henry Discrete Mathematics Symbolic Computation Commutative Algebra We introduce the lcm-filtration and stepwise filtration, comparing their performance across various scenarios in terms of computational complexity, efficiency, and redundancy. The lcm-filtration often involves identical steps or ideals, leading to unnecessary computations. To address this, we analyse how stepwise filtration can effectively compute only the non-identical steps, offering a more efficient approach. We compare these filtrations in applications to networks, system signatures, and sensitivity analysis. |
| title | Redundancy analysis using lcm-filtrations: networks, system signature and sensitivity evaluation |
| topic | Discrete Mathematics Symbolic Computation Commutative Algebra |
| url | https://arxiv.org/abs/2505.01416 |