no code implementations • 6 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.
1 code implementation • 29 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.
no code implementations • 1 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.
1 code implementation • 4 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.
1 code implementation • 30 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.
no code implementations • 4 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.
2 code implementations • 24 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.
2 code implementations • 16 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).
no code implementations • 4 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)
1 code implementation • 13 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