Simple generators of rational function fields

arXiv:2602.10878 · cs.SC, cs.MS, cs.SY, eess.SY, math.AC, math.DS · Submitted 2026-02-11 · Read on arXiv

cs.SC, cs.MS, cs.SY, eess.SY, math.AC, math.DS

Submitted: 2026-02-11

Updated: 2026-09-24

Code: https://github.com/pogudingleb/RationalFunctionFields.jl

Project page: https://symbolicdata.github.io/Papers/karlsruhe-02.pdf

Terminology

• Benchmark — 12× in this paper · explained in 2 episodes
• Parameter Identifiability — 6× in this paper · explained in 2 episodes
• Benchmarking — 2× in this paper · explained in 3 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Verification — 2× in this paper · explained in 2 episodes
• Analyzer — 1× in this paper · explained in 1 episode
• Computational Biology — 1× in this paper · explained in 2 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Provenance — 1× in this paper · explained in 3 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• System Identification — 1× in this paper · explained in 3 episodes

Sources

• Generic orbits, normal bases, and generation degree for fields of rational invariants
• Rational invariants of even degree polynomials under the orthogonal group
• Practical identifiability and parameter estimation of compartmental epidemiological models
• Groebner.jl: A package for Gr\"obner bases computations in Julia
• More Efficient Identifiability Verification in ODE Models by Reducing Non-Identifiability
• Projecting dynamical systems via a support bound
• Rational and Non-Rational Algebraic Varieties: Lectures of J'anos Koll'ar
• Total Variation Regularization for Compartmental Epidemic Models with Time-Varying Dynamics

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