This work presents a methodology for identifying inclusions in a conductor domain. The methodology is based on electrical potential measurements on the external boundary of a conductor body subjected to a prescribed s...
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This work presents a methodology for identifying inclusions in a conductor domain. The methodology is based on electrical potential measurements on the external boundary of a conductor body subjected to a prescribed set of electrical current injections. The boundary of each inclusion is approximated by a special kind of spline, whose control points have an extra parameter related to the distance between the control point and the curve. Such special feature allows identification of smooth or sharp inclusions with the same initial guess. The identification is an inverse problem that, in this work, is solved by the Levenberg-Marquardt Method. This iterative method tries to locate the minimum of an objective function, the square of the norm of a residual vector function, given by the differences between electrical potential measurements and the computed ones. The computation of the electrical potential is called forward problem and it is solved by an implementation of the direct formulation of the Boundary Element Method (BEM). The present paper addresses two approaches for computing the derivatives of the residual function with respect to the minimization parameters, required by the Levenberg-Marquardt Method. The first one is based on finite differences and the second one is based on the direct differentiation of the integral equation of the BEM for potential problems. Performance comparisons of these two approaches are presented, based on numerical experiments of identification of inclusions with noisy datasets computationally obtained. (C) 2013 Elsevier Ltd. All rights reserved.
It is seemingly paradoxical to the classical definition of the independent component analysis (ICA), that in reality, the true sources are often not strictly uncorrelated. With this in mind, this letter concerns a fra...
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It is seemingly paradoxical to the classical definition of the independent component analysis (ICA), that in reality, the true sources are often not strictly uncorrelated. With this in mind, this letter concerns a framework to extract quasi-uncorrelated sources with finite supports by optimizing a range-based contrast function under unit-norm constraints (to handle the inherent scaling indeterminacy of ICA) but without orthogonality constraints. Albeit the appealing contrast properties of the range-based function (e.g., the absence of mixing local optima), the function is not differentiable everywhere. Unfortunately, there is a dearth of literature on derivative-free optimizers that effectively handle such a nonsmooth yet promising contrast function. This is the compelling reason for the design of a nonsmooth optimization algorithm on a manifold of matrices having unit-norm columns with the following objectives: to ascertain convergence to a Clarke stationary point of the contrast function and adhere to the necessary unit-norm constraints more naturally. The proposed nonsmooth optimization algorithm crucially relies on the design and analysis of an extension of the mesh adaptive direct search (MADS) method to handle locally Lipschitz objective functions defined on the sphere. The applicability of the algorithm in the ICA domain is demonstrated with simulations involving natural, face, aerial, and texture images.
In this paper the inverse problem of electrical impedance tomography (ELT) in a three dimensional environment is considered. In this technique, electrodes are placed on the external boundary of the body and electrical...
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In this paper the inverse problem of electrical impedance tomography (ELT) in a three dimensional environment is considered. In this technique, electrodes are placed on the external boundary of the body and electrical current is injected by sequentially activating pairs of them while the corresponding potentials are measured. Usually such measures are used in order to solve the nonlinear inverse problem of achieving a two-dimensional image of the conductivity distribution over the cross section of the body. In the problem studied here the goal is to determine the size and position of an existing cavity within a homogeneous medium. The geometrical parameters that describe the cavities are the unknowns of the resulting 3D inverse problem, which is solved by the Levenberg-Marquardt method. Two shapes of geometrical cavities are here considered: spherical and spheroidal. Due to its accuracy and simplicity of mesh generation, the Boundary Element Method (BEM) is used in the solution of the direct problem. In order to evaluate the proposed strategy, numerical experiments are presented varying the position and the shape of the cavity and also the injection-measure protocol used. Since measured data are not currently available, boundary potential measurements have been obtained computationally also using BEM. The sensitivity of the present method in the presence of measurement noise has also been estimated through numerical experiments. (C) 2013 Elsevier Ltd. All rights reserved.
In this paper evolutionary computation is applied to the synthesis of planar periodic EBG. We constrained our evolutionary design to the unit cell geometry and used a full-wave MoM to evaluate all individuals. Results...
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ISBN:
(纸本)9781424447534
In this paper evolutionary computation is applied to the synthesis of planar periodic EBG. We constrained our evolutionary design to the unit cell geometry and used a full-wave MoM to evaluate all individuals. Results show that the resonant frequency is able to approach the desired value, improving the bandwidth.
This paper introduces a Relative Mapping Algorithm. This algorithm presents a new way of looking at the SLAM problem that does not use Probability, Iterative Closest Point, or Scan Matching techniques. A map of landma...
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ISBN:
(纸本)9781479900336;9781479900312
This paper introduces a Relative Mapping Algorithm. This algorithm presents a new way of looking at the SLAM problem that does not use Probability, Iterative Closest Point, or Scan Matching techniques. A map of landmarks is generated by using the average relative location difference between landmarks. This means the algorithm does not use any known, estimated or predicted movement or position data. In addition, the Relative Mapping Algorithm has the capability to identify dynamic landmarks using a binning algorithm. The algorithm is shown to have a fast constant time O(n(a)logn(a)) computation complexity where n(a) is the average quantity of points that are visible. In limiting testing the accuracy of the Relative Mapping Algorithm is shown to be comparable to the Extended Kalman Filter.
This paper improves a previous result on the multi-agent assignment problem, in which a group of agents has to reach a consensus on an optimal distribution of tasks, under communication and assignment constraints. How...
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ISBN:
(纸本)9781479906529
This paper improves a previous result on the multi-agent assignment problem, in which a group of agents has to reach a consensus on an optimal distribution of tasks, under communication and assignment constraints. However, the drawback of the proposed distributed algorithm was that the initial feasible assignment state is given. In this paper we develop a start-up algorithm to find an initial feasible assignment state based on synchronous communications among agents. Moreover, the agents exchange the messages and update autonomously and iteratively the task assignment. Some simulation results prove that the proposed consensus algorithm not only is able to reach a feasible solution but such a solution is close to the optimal one.
A structural change quantification methodology is proposed in which the magnitude and location of a structural alteration is identified experimentally in a rotor system. The resonance and antiresonance frequencies are...
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ISBN:
(纸本)9780791855263
A structural change quantification methodology is proposed in which the magnitude and location of a structural alteration is identified experimentally in a rotor system. The resonance and antiresonance frequencies are captured from multiple frequency response functions and are compared with baseline data to extract frequency shifts due to these features. The resulting expression contains sufficient information to identify the dynamic characteristics of the rotor in both the frequency and spatial domains. A finite element model with carefully selected tunable parameters is iteratively adjusted using a numerical optimization algorithm to determine the source of the structural change. The methodology is experimentally demonstrated on a test rig with a laterally damaged rotor and the frequency response functions are acquired through utilization of magnetic actuators positioned near the ball bearings.
A differential-algebraic equations (DAEs) model for solving convex quadratic programming (CQP) is studied in this paper. By using Frisch's logarithmic barrier function, the DAEs model is established and the corres...
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ISBN:
(纸本)9781479925483
A differential-algebraic equations (DAEs) model for solving convex quadratic programming (CQP) is studied in this paper. By using Frisch's logarithmic barrier function, the DAEs model is established and the corresponding relationships of the solutions to the proposed DAEs with the CQP problems is analyzed in details here. All the results shows that this new model is different from traditional optimization algorithms which tries to find optimal solutions by the classical discrete iterated sequence points as well as different from neural network method based on the ODEs which tries to find the optimal solutions by tracking trajectories of a set of ordinary differential equation systems. It is well-known that different numerical schemes to DAEs algorithm can lead to new algorithms or some classical iterated algorithms, for instance, the path-following interior point algorithm could be conducted by a scheme of the proposed DAEs algorithm. So, in this aspect, the conventional interior point method can be viewed as a special case of the new DAEs method. Hence, this DAEs model provides a promising alternative approach for solving convex quadratic programming problems
In order to meet increasing traffic demands, future generations of cellular networks are characterized by decreasing cell sizes at full frequency reuse. Due to inevitable inter-cell interference, load conditions in ne...
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ISBN:
(纸本)9781612848242
In order to meet increasing traffic demands, future generations of cellular networks are characterized by decreasing cell sizes at full frequency reuse. Due to inevitable inter-cell interference, load conditions in neighboring cells can no longer be considered independent. This paper provides a flow level modeling framework for cellular networks, where the coupling of flow level dynamics due to intercell interference is specifically taken into account. Since an adequate queueing model renders analytically intractable, we review different methods from the literature to bound and approximate the stationary behavior of network performance measures. Numerical investigations of a typical wireless scenario reveal, that in high and low load regimes first as well as second order bounds may be quite loose, depending on the type of bound. Especially for design of network optimization algorithms, bounds do not appear to suitably reflect network performance, and approximation techniques must be considered instead. In this regard, a suitable tradeoff between computational complexity and accuracy over the whole traffic range is provided by a model based on the notion of average interference.
It is difficult to represent properties of agro-food and forest products in mathematical models to simulate heat and water transport processes. Geometry of such products is complex, material structure is non-homogeneo...
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ISBN:
(纸本)9788021323889
It is difficult to represent properties of agro-food and forest products in mathematical models to simulate heat and water transport processes. Geometry of such products is complex, material structure is non-homogeneous and anisotropic, and properties vary with temperature and moisture content. Heat and water transport processes affect the end-use quality of agro-food and forest products, so it is important to support design and management of advanced systems of processing and storage of such products with mathematical modelling and computer predictions. In the paper an integrated computer-aided approach to estimate geometric and physical properties of agro-food and forest products was developed. The method was effective and it resulted in more accurate predictions of heat and water transport processes in investigated products.
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