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most citedThe Signed Cumulative Distribution Transform for 1-D Signal Analysis and Classification

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math.AP2026

Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform

Harbir Antil, Rocío Díaz Martín, Ivan V. Medri +4

We propose a reduced order modeling (ROM) framework for 1D conservative PDEs based on the cumulative distribution transform (CDT). The CDT maps nonnegative, equal-mass states into…