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Parameter-Dependent Dynamics
This chapter is dedicated to the study of parameter-dependent perturbations of a linear dynamics. We first consider a parameter-dependent linear...
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Local Parameter Identifiability: Case of Discrete Infinite-Dimensional Parameter
In this paper, we study the problem of local parameter identifiability for discrete dynamical systems with discrete infinite-dimensional parameter....
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Conditions for Local Parameter Identifiability for Systems of Differential Equations with an Infinite-Dimensional Parameter
AbstractThe problem of parametric identification (determining the parameters of a system by observing solutions or functions of them) is one of the...
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Fokker–Planck–Kolmogorov Equations with a Parameter
AbstractFor Fokker–Planck–Kolmogorov equations with coefficients depending measurably on a parameter we prove the existence of solutions that are...
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Spatial Autologistic Model with Generalized Dependent Parameter
In the spatial autologistic model, the dependence parameter is often assumed to be a single value. To construct a spatial autologistic model with...
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Optimal Parameter Estimation Techniques for Complex Nonlinear Systems
Accurate parameter estimation and state identification within nonlinear systems are fundamental challenges addressed by optimization techniques. This...
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Multi-parameter Maximal Fourier Restriction
The main result of this note is the strengthening of a quite arbitrary a priori Fourier restriction estimate to a multi-parameter maximal estimate of...
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A probabilistic reduced basis method for parameter-dependent problems
Probabilistic variants of model order reduction (MOR) methods have recently emerged for improving stability and computational performance of...
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Parameter Identifiability in PDE Models of Fluorescence Recovery After Photobleaching
Identifying unique parameters for mathematical models describing biological data can be challenging and often impossible. Parameter identifiability...
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On a Solvability to the Problem with Parameter for Differential-Algebraic Equations
AbstractA problem of solvability with parameter for a differential-algebraic equation is considered. For solving the problem is applied Weierstrass...
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Analyticity and Pseudo-Analyticity in the Small Parameter Method
AbstractThe small parameter method allows one to construct solutions of differential equations in the form of power series and has become widespread...
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Parameter Estimation with Uncertainty Quantification
In this chapter, various parameter estimation methods are presented. First, the Markov chain Monte Carlo (MCMC) technique is introduced, which is...
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Decentralized distributed parameter tuning model to generate unidirectional movements
This study proposes a module designed for the automatic parameter control of peristaltic locomotion systems. The module comprises two populations of...
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On 3-parameter quaternions with higher order generalized Fibonacci numbers components
In this article, 3-parameter higher order quaternions are introduced with the help of higher-order generalized Fibonacci quaternions and 3-parameter...
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Parameter-robust preconditioners for Biot’s model
This work presents an overview of the most relevant results obtained by the authors regarding the numerical solution of the Biot’s consolidation...
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Discrete maps with distributed memory fading parameter
Discrete maps with uniformly distributed memory fading parameter are proposed. These maps are derived from equations with fractional derivatives and...
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The boundedness of operators on weighted multi-parameter local Hardy spaces
Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators, untill now, the...
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Three-parameter Regularization Algorithm for Pseudo-solution of Non-compatible Systems
AbstractThe work is devoted to some generalization of the regularization method for ill-conditioned and degenerate systems of linear algebraic...
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On Kantorovich Problems with a Parameter
AbstractIn this note, we study the Kantorovich problem of optimal transportation of measures on metric spaces in the case where the cost function and...
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Matching pursuit with unbounded parameter domains
In various applications, the adoption of optimal energy matching pursuit with dictionary elements is common. When the dictionary elements are indexed...