Differential Elimination for Dynamical Models via Projections with Applications to Structural Identifiability
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Publication:6043379
DOI10.1137/22m1469067zbMath1521.93034arXiv2111.00991MaRDI QIDQ6043379
Christian Goodbrake, Heather A. Harrington, G. A. Pogudin, Unnamed Author
Publication date: 5 May 2023
Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.00991
System identification (93B30) Algebraic methods (93B25) Inverse problems involving ordinary differential equations (34A55) Differential algebra (12H05) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)
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- Definability and fast quantifier elimination in algebraically closed fields
- Algebraic methods for nonlinear control systems. Theory and applications.
- Newton's method and FFT trading
- Algebraic transformation of differential characteristic decompositions from one ranking to another
- Computing representations for radicals of finitely generated differential ideals
- Computing differential characteristic sets by change of ordering
- On global identifiability for arbitrary model parametrizations
- Converting bases with the Gröbner walk
- System identifiability (symbolic computation) and parameter estimation (numerical computa\-tion)
- Relax, but don't be too lazy
- Computing all identifiable functions of parameters for ODE models
- Web-based structural identifiability analyzer
- A parameter-free model comparison test using differential algebra
- Model distinguishability and inference robustness in mechanisms of cholera transmission and loss of immunity
- Change of order for regular chains in positive dimension
- An algorithm for finding globally identifiable parameter combinations of nonlinear ODE models using Gröbner bases
- Parameter identifiability and input-output equations
- Explicit factors of some iterated resultants and discriminants
- Thomas Decomposition of Algebraic and Differential Systems
- The Distribution of Galois Groups and Hilbert's Irreducibility Theorem
- A Differential Analog of the Noether Normalization Lemma
- Sharp estimates for triangular sets
- Orders of Input/Output Differential Equations and State-Space Dimensions
- New algebraic-geometric conditions for the linearization by input-output injection
- Multi-experiment Parameter Identifiability of ODEs and Model Theory
- Nemo/Hecke
- Global Identifiability of Differential Models
- Identifiability of nonlinear systems with application to HIV/AIDS models
- On Hilbert’s irreducibility theorem
- Determining reliable parameter estimates for within-host and within-vector models of Zika virus
- A probabilistic algorithm to test local algebraic observability in polynomial time
- Analytical redundancy relations for fault detection and isolation in algebraic dynamic systems
- A Gröbner free alternative for polynomial system solving
