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

Mohammadi, Fatemeh, Sáenz-De-Cabezón, Eduardo and Wynn, Henry ORCID: 0000-0002-6448-1080 (2025) Redundancy analysis using lcm-filtrations: networks, system signature and sensitivity evaluation. In: D'Andrea, Carlos, Diaz, Sonia Perez and Laplagne, Santiago, (eds.) ISSAC 2025 - Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation. ISSAC 2025 - Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation. Association for Computing Machinery, pp. 293-301. ISBN 9798400720758

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Identification Number: 10.1145/3747199.3747573

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.

Item Type: Book Section
Additional Information: © 2025 Copyright is held by the owner/author(s). Publication rights licensed to ACM.
Divisions: LSE
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Date Deposited: 22 Dec 2025 12:27
Last Modified: 23 Dec 2025 00:00
URI: http://eprints.lse.ac.uk/id/eprint/130727

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