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More Efficient Identifiability Verification in ODE Models by Reducing Non-Identifiability

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arxiv 2204.01623 v1 pith:YKCAKZRU submitted 2022-04-04 cs.SC cs.LGmath.AG

classification cs.SCcs.LGmath.AG
keywords identifiabilityparametersgivenglobalnon-identifiableparameterabsenceaccelerating
verification ladder T0 review T1 audit T2 compute T3 formal

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Structural global parameter identifiability indicates whether one can determine a parameter's value from given inputs and outputs in the absence of noise. If a given model has parameters for which there may be infinitely many values, such parameters are called non-identifiable. We present a procedure for accelerating a global identifiability query by eliminating algebraically independent non-identifiable parameters. Our proposed approach significantly improves performance across different computer algebra frameworks.

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  1. Simple generators of rational function fields

    cs.SC 2026-02 conditional novelty 7.0 of 10

    A new randomized algorithm computes simpler generators of rational function fields by interpolating only low-degree Gröbner coefficients and searching for low-degree polynomial elements.

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