Search Results for author: Alexey Ovchinnikov

Found 10 papers, 6 papers with code

Algebraic identifiability of partial differential equation models

no code implementations6 Feb 2024 Helen Byrne, Heather Harrington, Alexey Ovchinnikov, Gleb Pogudin, Hamid Rahkooy, Pedro Soto

This problem has been intensively studied for ordinary differential equation models, with theory and several efficient algorithms and software packages developed.

Symbolic-numeric algorithm for parameter estimation in discrete-time models with $\exp$

1 code implementation29 Jan 2024 Yosef Berman, Joshua Forrest, Matthew Grote, Alexey Ovchinnikov, Sonia Rueda

Determining unknown parameter values in dynamic models is crucial for accurate analysis of the dynamics across the different scientific disciplines.

Time Series

Algorithm for globally identifiable reparametrizions of ODEs

no code implementations1 Jan 2024 Sebastian Falkensteiner, Alexey Ovchinnikov, J. Rafael Sendra

Structural global parameter identifiability indicates whether one can determine a parameter's value in an ODE model from given inputs and outputs.

Algorithm for finding new identifiable reparametrizations of parametric ODEs

1 code implementation4 Oct 2023 Nicolette Meshkat, Alexey Ovchinnikov, Thomas Scanlon

If all of the parameters of a model can be recovered from data, the model is said to be identifiable.

Identifiable specializations for ODE models

1 code implementation30 Aug 2023 Alexey Ovchinnikov, Anand Pillay, Gleb Pogudin, Thomas Scanlon

The parameter identifiability problem for a dynamical system is to determine whether the parameters of the system can be found from data for the outputs of the system.

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

no code implementations4 Apr 2022 Ilia Ilmer, Alexey Ovchinnikov, Gleb Pogudin, Pedro Soto

Structural global parameter identifiability indicates whether one can determine a parameter's value from given inputs and outputs in the absence of noise.

CLUE: Exact maximal reduction of kinetic models by constrained lumping of differential equations

2 code implementations24 Apr 2020 Alexey Ovchinnikov, Isabel Cristina Pérez Verona, Gleb Pogudin, Mirco Tribastone

Model reduction can help tame such complexity by providing a lower-dimensional model in which each macro-variable can be directly related to the original variables.

Computing all identifiable functions of parameters for ODE models

2 code implementations16 Apr 2020 Alexey Ovchinnikov, Anand Pillay, Gleb Pogudin, Thomas Scanlon

Parameter identifiability is a structural property of an ODE model for recovering the values of parameters from the data (i. e., from the input and output variables).

Effective difference elimination and Nullstellensatz

no code implementations4 Dec 2017 Alexey Ovchinnikov, Gleb Pogudin, Thomas Scanlon

We prove effective Nullstellensatz and elimination theorems for difference equations in sequence rings.

Algebraic Geometry Logic 12H10, 13P25 (Primary), 14Q20, 03C10, 03C60 (Secondary)

Bounds for elimination of unknowns in systems of differential-algebraic equations

1 code implementation13 Oct 2016 Alexey Ovchinnikov, Gleb Pogudin, N. Thieu Vo

The problem of finding an a priori upper bound for the number of differentiations in elimination of unknowns in a system of differential-algebraic equations (DAEs) is an important challenge, going back to Ritt (1932).

Commutative Algebra Symbolic Computation Algebraic Geometry 12H05, 12H20, 14Q20, 34A09

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