In the last decades, inverse scattering problems have been faced by several stochastic methods with satisfactory results, thanks to their global optimization capabilities and their ability to take into account a-prior...
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ISBN:
(纸本)9781424420414
In the last decades, inverse scattering problems have been faced by several stochastic methods with satisfactory results, thanks to their global optimization capabilities and their ability to take into account a-priori information [1-3]. Nevertheless the computational burden required by these algorithms is often heavy. To overcome such a drawback, in this contribution a new hybrid approach is presented: a qualitative inversion technique is used to provide useful information about the location and shape of the scattering;these information are used to facilitate the convergence of a stochastic procedure, which is responsible for retrieving the point values of the dielectric permittivity. Namely, the proposed method consists of two steps: firstly the support of the scatterers is determined by the no-sampling Linear Sampling Method (nLSM), which is a fast inversion technique for visualizing the profile of a scatterer from measurements of the far-field data [4];then the dielectric parameters of interest are retrieved performing the minimization of a suitable cost function by means of an Ant Colony optimization algorithm (ACO). ACO is a recently introduced stochastic optimization algorithm, inspired by social behavior of ant colonies, to solve hard minimization problems [5,6]. In this paper the described technique will be applied to TM two-dimensional inverse scattering problems. The input data of this approach is the far-field matrix whose ij-entry is the far-field sample u{sub}∞(x{sub}i, d{sub}j) measured in the direction x{sub}i when the targets are illuminated by a plane wave impinging from direction d{sub}j.
The way heuristic optimizers are designed has evolved over the decades, as computing power has increased. Such has been the case for the Linear Ordering Problem (LOP), a field in which trajectory-based strategies led ...
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One can recover vectors from Rm with arbitrary precision, using only ⌈log2(m+1)⌉+1 continuous measurements that are chosen adaptively. This surprising result is explained and discussed, and we present applications to ...
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A neural network-based approach for solving parametric convex optimization problems is presented, where the network estimates the optimal points given a batch of input parameters. The network is trained by penalizing ...
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Two global optimization problems with high dimensionality and many local minima are investigated with two different optimization algorithms: DIRECT and simulated annealing. The problems include a difficult biomechanic...
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ISBN:
(纸本)9781617828409
Two global optimization problems with high dimensionality and many local minima are investigated with two different optimization algorithms: DIRECT and simulated annealing. The problems include a difficult biomechanics problem with a great deal of experimental noise and a deterministic integer programming problem with a known global minimum.
This paper presents the optimal radome design using optimization algorithm. Design of a radome is, in general, a formidable problem, since the design philosophy needs to take into account the arbitrariness with respec...
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ISBN:
(纸本)9781424420414
This paper presents the optimal radome design using optimization algorithm. Design of a radome is, in general, a formidable problem, since the design philosophy needs to take into account the arbitrariness with respect to the shape of the radome and the incidence angle of the incident wave into the radome. To circumvent this problem, optimization algorithm appears to be a powerful tool. In this article, particle swarm optimization (PSO), which has recently drawn considerable attention in a wide range of applications, is employed for the design of a radome, in which the frequency characteristics of the transmission coefficient of the radome is adopted as the objective function, and the radome wall thickness and the shape of the radome are optimized. In addition, for the PSO algorithm, we introduce a concept analogous to "mutation" in GA so as to enhance the globality of the optimal solution, and call it as MPSO (Mutated PSO). We deal with MPSO, PSO and GA, and report the comparisons and characteristics of the optimized radome.
We present a systematic approach for design of extremum seeking (ES) controllers for a class of uncertain plants that are parameterized with unknown parameters. First, we present results for static plants and show how...
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ISBN:
(纸本)9781424477456
We present a systematic approach for design of extremum seeking (ES) controllers for a class of uncertain plants that are parameterized with unknown parameters. First, we present results for static plants and show how it is possible to combine, under certain general conditions, an arbitrary optimization method with an arbitrary parameter estimation method in order to obtain extremum seeking. Our main results also specify how controller needs to be tuned in order to achieve extremum seeking. Then, we consider dynamic plants and separate our results into the stable plant case and unstable plant case. For each of these cases, we present conditions on general plants, controllers, observers, parameter estimators and optimization algorithms that guarantee semi-global practical convergence to the extremum when controller parameters are tuned appropriately. Our results apply to general nonlinear plants with multiple inputs and multiple parameters.
Quality-Diversity (QD) algorithms have exhibited promising results across many domains and applications. However, uncertainty in fitness and behaviour estimations of solutions remains a major challenge when QD is used...
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The approximation of a high-dimensional vector by a small combination of column vectors selected from a fixed matrix has been actively debated in several different disciplines. In this paper, a sampling approach based...
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ISBN:
(纸本)9781509018918
The approximation of a high-dimensional vector by a small combination of column vectors selected from a fixed matrix has been actively debated in several different disciplines. In this paper, a sampling approach based on the Monte Carlo method is presented as an efficient solver for such problems. Especially, the use of simulated annealing (SA), a metaheuristic optimization algorithm, for determining degrees of freedom (the number of used columns) by cross validation is focused on and tested. Test on a synthetic model indicates that our SA-based approach can find a nearly optimal solution for the approximation problem and, when combined with the CV framework, it can optimize the generalization ability. Its utility is also confirmed by application to a real-world supernova data set.
The paper presents the analysis of cylindrical and spherical structures used for invisible cloak realization. Different cylindrical and spherical cloak realizations were analyzed in terms of bistatic scattering cross ...
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ISBN:
(纸本)9781457702501
The paper presents the analysis of cylindrical and spherical structures used for invisible cloak realization. Different cylindrical and spherical cloak realizations were analyzed in terms of bistatic scattering cross section. In addition, optimization algorithm was connected with the analysis routine to find the constitutive parameters of the cloak that reduce both backscattering and forward scattering. The results show that it is possible to obtain adequate invisibility performance by covering the PEC sphere with only 2 thin anisotropic layers.
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