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nonlinear parameter estimation problems

Nonlinear parameter estimation in classification problems

Nonlinear parameter estimation in classification problems

... One shortcoming of all gradient descent type algorithms, such as the online learning algorithm discussed in the first part of this thesis, is that estimates may be attracted to local min[r] ...

140

Parameter Estimation of an Inhomogeneous Medium by Scattered Electromagnetic Fields Using Nonlinear Optics and Wavelets

Parameter Estimation of an Inhomogeneous Medium by Scattered Electromagnetic Fields Using Nonlinear Optics and Wavelets

... as well as limited number of frequencies is done. It has been studied that the solution is not unique for practical problems, and uniqueness of the integrating field is overcome by measuring large number of samples ...

16

Model estimation of cerebral hemodynamics between blood flow and volume changes: a data-based modelling approach

Model estimation of cerebral hemodynamics between blood flow and volume changes: a data-based modelling approach

... with nonlinear-in-the-parameters models, such models are easier to interpret physically, simpler to analyze mathematically and quicker to compute numerically using least squares based algorithms (Billings et ...

21

Parameter Estimation Algorithm for Storm Intensity Model with Single Return Period Based on Multicellular Gene Expression Programming

Parameter Estimation Algorithm for Storm Intensity Model with Single Return Period Based on Multicellular Gene Expression Programming

... the parameter estimation problem of rainstorm intensity forecast model with single return period and obtained some good preliminary results in ...effective parameter estimation algorithm for ...

7

Approximation methods for inverse problems governed by nonlinear parabolic systems

Approximation methods for inverse problems governed by nonlinear parabolic systems

... imate estimation problems ...dimensional parameter estimation ...minimization problems for rst and second order systems has been presented in ...hyperbolic problems have been ...

32

Parameter Estimation of Nonlinear System - VanderPol Oscillator using Neural Networks

Parameter Estimation of Nonlinear System - VanderPol Oscillator using Neural Networks

... Inverse problems of system identification and parameter estimation are crucial in nonlinear ...of nonlinear systems under specific excitation can be only predicted accurately when the ...

12

Efficient parameter identification and model selection in nonlinear dynamical systems via sparse Bayesian learning

Efficient parameter identification and model selection in nonlinear dynamical systems via sparse Bayesian learning

... and parameter estimation in the case with unknown forcing would become much harder as one would have to discern whether forcing terms that are a residual of the underlying linear system are due to an ...

14

Application of ensemble transform data assimilation methods for parameter estimation in reservoir modeling

Application of ensemble transform data assimilation methods for parameter estimation in reservoir modeling

... condition estimation and a small number of parameter estimations in chaotic dynamical systems with non-Gaussian ...for parameter estimation in nonlinear problems with 1, 5, and ...

16

On line scheme for parameter estimation of nonlinear lithium ion battery equivalent circuit models using the simplified refined instrumental variable method for a modified Wiener continuous time model

On line scheme for parameter estimation of nonlinear lithium ion battery equivalent circuit models using the simplified refined instrumental variable method for a modified Wiener continuous time model

... the estimation of NL-ECM parameters, although this is at a cost of higher memory and computing resource ...for parameter estimation are based on different implemen- tations of the Kalman filter ...of ...

13

Approximation results for parameter estimation in non-linear elastomers

Approximation results for parameter estimation in non-linear elastomers

... This class of systems was introduced in [BGS, BLMY] and further studied in [BLGMY] as a model for the behavior of nonlinear elastomers . These materials, which are used in the development of active and passive ...

16

Parameter estimation in a coupled system of nonlinear size-structured populations

Parameter estimation in a coupled system of nonlinear size-structured populations

... In Figure 2 we use ∆x = ∆t = 0.005 to generate the data while we use ∆x = ∆t = 0.01 for the numerical solution (2.3) in the least-squares problem. Thus, in this case the data are not exactly attained by our model even if ...

33

Generalized sensitivities and optimal experimental design

Generalized sensitivities and optimal experimental design

... 2. The improvement in the parameter estimates is negligible when increasing the sampling time beyond 𝑇 (i.e., data outside [0, 𝑇 ] is essentially irrelevant for the estimation of 𝜃). In practice, the ...

44

State Estimation for Target Tracking Problems with Nonlinear Kalman Filter Algorithms

State Estimation for Target Tracking Problems with Nonlinear Kalman Filter Algorithms

... In this paper, state estimation introduced for target tracking problems in three dimensions. Firstly State and measurement equations were obtained for target tracking problems. Then, the measurements ...

7

Adaptive filtering-based multi-innovation gradient algorithm for input nonlinear systems with autoregressive noise

Adaptive filtering-based multi-innovation gradient algorithm for input nonlinear systems with autoregressive noise

... and parameter estimation [13], the measured output always contain the disturbances from process environments ...the parameter estimation, the measurement noise has been widely discussed in the ...

18

Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces

Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces

... value problems has been studied by many authors using various methods (see ...value problems have been studied ...value problems with one-dimensional (1D) p-Laplacian and impulse effects subject to ...

6

Conditionally Suboptimal Filtering in Nonlinear Stochastic Differential System

Conditionally Suboptimal Filtering in Nonlinear Stochastic Differential System

... termined by the formulas (52), (53), respectively. These equations (38), (44), (49), (50) and the formulas (52), (53), (55) produce the actual accuracy of the condition- ally suboptimal nonlinear filtering (29), ...

7

Design of delayed fractional state variable filter for parameter estimation of fractional nonlinear models

Design of delayed fractional state variable filter for parameter estimation of fractional nonlinear models

... The DFSVF is a cascade of all-pass filters, for group- delay equalisation, with a fractional Butterworth filter (FBF). In the DFSVF, the delayed signals and their higher derivatives are generated by the FBF and are used ...

17

Parameter estimation in kinetic reaction models using nonlinear observers facilitated by model extensions

Parameter estimation in kinetic reaction models using nonlinear observers facilitated by model extensions

... In order to understand the dynamics and function of biomolecular networks, such as metabolic pathways, signal transduction and gene regulation, mathematical modeling presents an appropriate tool. These models depend cru- ...

6

Reduced order modelling of parameter dependent linear and nonlinear dynamic PDE models

Reduced order modelling of parameter dependent linear and nonlinear dynamic PDE models

... the nonlinear function at selected spatial locations using an empirically derived basis, and is applied directly to the governing PDE [7], while the discrete empirical interpolation method (DEIM), is applicable to ...

24

Parameter estimation of tapioca starch hydrolysis process: application of least squares and genetic algorithm

Parameter estimation of tapioca starch hydrolysis process: application of least squares and genetic algorithm

... The performance of genetic algorithm (GA) in nonlinear kinetic parameter estimation of tapioca starch hydrolysis was studied and compared with the Gauss-Newton method. Both methods were employed for ...

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