scholarly journals Numerical complex analysis method for solving identification problems with using applied quasipotential tomographic data

2017 ◽  
pp. 14-26
Author(s):  
Andriy Bomba ◽  
Mykhailo Boichura
Keyword(s):  
Complex Analysis ◽  
Homogeneous Medium ◽  
Parametric Identification ◽  
Identification Problem ◽  
Analysis Method ◽  
Identification Problems ◽  
Analysis Problem ◽  
Conductivity Distribution ◽  
Piecewise Homogeneous Medium ◽  
Tomographic Data

The article deals with the problem of identification parameters of a piecewise homogeneous medium with using the applied quasipotential tomographic data when the data about the conductivity coefficient is incomplete. The method of image reconstruction, according to which solving of the analysis problem is reduced to the using numerical quasiconformal mappings methods and the synthesis problem is reduced to the solution the parametric identification problem when all possible variants of the conductivity distribution is considered. The reconstructed image of the conductivity distribution inside the investigated object on the basis of performed numerical calculations is constructed. The received results were analyzed. The proposed approach to reconstruction slightly increases the total number of iterations in some cases, but significantly simplifies the intermediate iterative problems solving.

scholarly journals Spatial Analogues of Numerical Quasiconformal Mapping Methods for Solving Identification Problems in Anisotropic Media

2019 ◽  
pp. 19-20
Author(s):  
Mykhailo Boichura ◽  
Olha Michuta ◽  
Andrii Bomba
Keyword(s):  
Image Reconstruction ◽  
Differential Equations ◽  
Quasiconformal Mapping ◽  
Complex Analysis ◽  
A Priori ◽  
Anisotropic Media ◽  
Identification Problems ◽  
Stream Functions ◽  
Tomographic Data ◽  
Spatial Bodies

The approach to solving the gradient problems of image reconstruction of spatial bodies using applied quasipotential tomographic data that is based on numerical complex analysis methods is extended to cases of anisotropic media. Here the distribution of eigen-directions of the conductivity tensor is considered a priori known. We propose to identify the parameters of the corresponding quasiideal stream by the way of minimizing the functional of the sum of squares of residuals which constructed using differential equations in partial derivatives that relate the quasipotential of velocity and the spatially quasicomplex conjugated stream functions

Simulation of the electroerosion treatment process using neural networks

2022 ◽  
Vol 14 (4) ◽  
pp. 5-12
Author(s):  
Ol'ga Ermilina ◽  
Elena Aksenova ◽  
Anatoliy Semenov
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Equivalent Circuit ◽  
Electrical Discharge ◽  
Electrical Discharge Machining ◽  
Calculated Data ◽  
Parametric Identification ◽  
Identification Problem ◽  
Rlc Circuit ◽  
Matlab Package

The paper provides formalization and construction of a model of the process of electrical discharge machining. When describing the process, a T-shaped equivalent circuit containing an RLC circuit was used. Determine the transfer function of the proposed substitution scheme. Also, a task is formulated and an algorithm for neural network parametric identification of a T-shaped equivalent circuit is proposed. The problem is posed and an algorithm is developed for neural network parametric identification of the equivalent circuit with a computational experiment, the formation of training samples on its basis, and the subsequent training of dynamic and static neural networks used in the identification problem. The process was simulated in Simulink, Matlab package. Acceptable coincidence of the calculated data with the experimental ones showed that the proposed model of electrical discharge machining reflects real electromagnetic processes occurring in the interelectrode gap.

Performance in Intra- and Extra-Dimensional Shifts as a Function of Solution Mode in Concept-Identification Problems

1975 ◽  
Vol 37 (2) ◽  
pp. 447-454
Author(s):  
Barry Lowenkron
Keyword(s):  
Identification Problem ◽  
Concept Identification ◽  
Relevant Dimension ◽  
Learning Performance ◽  
Identification Problems ◽  
Shift Performance ◽  
Shift Behavior ◽  
Initial Concept

In an initial concept-identification problem with one relevant dimension, subjects learned to respond to 12 stimuli, 4 of which occurred only on nonoutcome trials where feedback was never provided. After criterion or 48 overtraining trials subjects were given a second problem with novel stimuli in which either the initial dimension remained relevant (intra-dimensional shift) or a new dimension became relevant (extra-dimensional shift). Behavior on nonoutcome trials was taken as an indicator of a conceptual or non-conceptual mode of learning. Performance in the two shifts varied as a function of the solution mode subjects attained, while overtraining had no effect on the shift performance of either conceptual or non-conceptual subjects.

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