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pro vyhledávání: '"Ovchinnikov, Alexey A."'
Imaging Mueller polarimetry has already proved its potential for metrology, remote sensing and biomedicine. The real-time applications of this modality require both video rate image acquisition and fast data post-processing algorithms. First, one mus
Externí odkaz:
http://arxiv.org/abs/2402.18555
Autor:
Byrne, Helen, Harrington, Heather, Ovchinnikov, Alexey, Pogudin, Gleb, Rahkooy, Hamid, Soto, Pedro
Differential equation models are crucial to scientific processes. The values of model parameters are important for analyzing the behaviour of solutions. A parameter is called globally identifiable if its value can be uniquely determined from the inpu
Externí odkaz:
http://arxiv.org/abs/2402.04241
Dynamic models describe phenomena across scientific disciplines, yet to make these models useful in application the unknown parameter values of the models must be determined. Discrete-time dynamic models are widely used to model biological processes,
Externí odkaz:
http://arxiv.org/abs/2401.16220
Publikováno v:
Journal of Symbolic Computation, Volume 128, 2025, paper 102385
Structural global parameter identifiability indicates whether one can determine a parameter's value in an ODE model from given inputs and outputs. If a given model has parameters for which there is exactly one value, such parameters are called global
Externí odkaz:
http://arxiv.org/abs/2401.00762
Structural identifiability concerns the question of which unknown parameters of a model can be recovered from (perfect) input-output data. If all of the parameters of a model can be recovered from data, the model is said to be identifiable. However,
Externí odkaz:
http://arxiv.org/abs/2310.03057
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. Verifying whether the parameters are identifiable is a necessary first step before
Externí odkaz:
http://arxiv.org/abs/2308.16273
We offer a digital signature scheme using Boolean automorphisms of a multivariate polynomial algebra over integers. Verification part of this scheme is based on the approximation of the number of zeros of a multivariate Boolean function.
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Externí odkaz:
http://arxiv.org/abs/2306.11303
Autor:
Bassik, Oren, Berman, Yosef, Go, Soo, Hong, Hoon, Ilmer, Ilia, Ovchinnikov, Alexey, Rackauckas, Chris, Soto, Pedro, Yap, Chee
We present a new approach for estimating parameters in rational ODE models from given (measured) time series data. In typical existing approaches, an initial guess for the parameter values is made from a given search interval. Then, in a loop, the co
Externí odkaz:
http://arxiv.org/abs/2303.02159
Structural global parameter identifiability indicates whether one can determine a parameter's value from given inputs and outputs in the absence of noise. If a given model has parameters for which there may be infinitely many values, such parameters
Externí odkaz:
http://arxiv.org/abs/2204.01623
Autor:
Bessonov, Mariya, Ilmer, Ilia, Konstantinova, Tatiana, Ovchinnikov, Alexey, Pogudin, Gleb, Soto, Pedro
Symbolic computation for systems of differential equations is often computationally expensive. Many practical differential models have a form of polynomial or rational ODE system with specified outputs. A basic symbolic approach to analyze these mode
Externí odkaz:
http://arxiv.org/abs/2202.06297