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arXiv · 2505.01416

Redundancy analysis using lcm-filtrations: networks, system signature and sensitivity evaluation

Fatemeh Mohammadi·Eduardo Sáenz-de-Cabezón·Henry Wynn
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Abstract

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.

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Fatemeh Mohammadi, Eduardo Sáenz-de-Cabezón, Henry Wynn. 2025-05-06. Redundancy analysis using lcm-filtrations: networks, system signature and sensitivity evaluation. https://arxiv.org/abs/2505.01416

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