119 citations · 638 across the 44 of their papers we have counts for
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Multi-experiment parameter identifiability of ODEs and model theory
Alexey Ovchinnikov, Anand Pillay, Gleb Pogudin +1
Structural identifiability is a property of an ODE model with parameters that allows for the parameters to be determined from continuous noise-free data. This is a natural prerequi…
Parameter identifiability and input-output equations
Alexey Ovchinnikov, Gleb Pogudin, Peter Thompson
Structural parameter identifiability is a property of a differential model with parameters that allows for the parameters to be determined from the model equations in the absence o…
Effective difference elimination and Nullstellensatz
Alexey Ovchinnikov, Gleb Pogudin, Thomas Scanlon
We prove effective Nullstellensatz and elimination theorems for difference equations in sequence rings. More precisely, we compute an explicit function of geometric quantities asso…
Triviality of differential Galois cohomologies of linear differential algebraic groups
Andrei Minchenko, Alexey Ovchinnikov
We show that the triviality of the differential Galois cohomologies over a partial differential field K of a linear differential algebraic group is equivalent to K being algebraica…