Journal ArticleDOI
Stochastic Optimization Methods Applied to Microwave Imaging: A Review
TLDR
Stochastic methods are now very common in electromagnetics as discussed by the authors, they have been recently proposed for solving inverse problems arising in radio-frequency and microwave imaging, and the main features making these approaches useful for imaging purposes are discussed and the currently considered strategies to reduce the computational load associated with stochastic optimization procedures delineated.Abstract:
Stochastic methods are now very common in electromagnetics. Among the various applications, they have been recently proposed for solving inverse problems arising in radio-frequency and microwave imaging. Some of the recently proposed stochastic inversion procedures are critically discussed (e.g., genetic algorithms, differential evolution methods, memetic algorithms, particle swarm optimizations, hybrid techniques, etc.) and the way they have been applied in this area. The use of the ant colony optimization method, which is a relatively new method in electromagnetics, is also proposed. Various imaging modalities are considered (tomography, buried object detection, and borehole sensing). Finally, the main features making these approaches useful for imaging purposes are discussed and the currently considered strategies to reduce the computational load associated with stochastic optimization procedures delineatedread more
Citations
More filters
Journal ArticleDOI
Differential Evolution as Applied to Electromagnetics
TL;DR: A comprehensive coverage of different Differential Evolution formulations in solving optimization problems in the area of computational electromagnetics is presented, focusing on antenna synthesis and inverse scattering.
Journal ArticleDOI
Evolutionary optimization as applied to inverse scattering problems
TL;DR: In this article, an overview of evolutionary algorithms (EAs) as applied to the solution of inverse scattering problems is presented, focusing on the use of different population-based optimization algorithms for the reconstruction of unknown objects embedded in an inaccessible region when illuminated by a set of microwaves.
Journal ArticleDOI
DeepNIS: Deep Neural Network for Nonlinear Electromagnetic Inverse Scattering
TL;DR: In this article, the authors exploit a connection between the deep neural network (DNN) architecture and the iterative method of nonlinear EM inverse scattering, and propose DeepNIS, which consists of a cascade of multilayer complex-valued residual convolutional neural network modules.
Journal ArticleDOI
A Bayesian-Compressive-Sampling-Based Inversion for Imaging Sparse Scatterers
TL;DR: A new approach based on the Bayesian compressive sampling and within the contrast source formulation of an inverse scattering problem is proposed for imaging sparse scatterers by enforcing a probabilistic hierarchical prior as a sparsity regularization constraint by means of a fast relevance vector machine.
Journal ArticleDOI
Physics-Inspired Convolutional Neural Network for Solving Full-Wave Inverse Scattering Problems
Zhun Wei,Xudong Chen +1 more
TL;DR: It is the first time that the contrast source is learned to solve full-wave inverse scattering problems (ISPs) and the proposed induced current learning method (ICLM) is compared with the state-of-the-art of deep learning scheme and a well-known iterative ISP solver.
References
More filters
Book
Partial Differential Equations
TL;DR: In this paper, the authors present a theory for linear PDEs: Sobolev spaces Second-order elliptic equations Linear evolution equations, Hamilton-Jacobi equations and systems of conservation laws.
Journal ArticleDOI
Differential Evolution – A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces
Rainer Storn,Kenneth Price +1 more
TL;DR: In this article, a new heuristic approach for minimizing possibly nonlinear and non-differentiable continuous space functions is presented, which requires few control variables, is robust, easy to use, and lends itself very well to parallel computation.
Journal ArticleDOI
Ant system: optimization by a colony of cooperating agents
TL;DR: It is shown how the ant system (AS) can be applied to other optimization problems like the asymmetric traveling salesman, the quadratic assignment and the job-shop scheduling, and the salient characteristics-global data structure revision, distributed communication and probabilistic transitions of the AS.
Book
Waves and Fields in Inhomogeneous Media
TL;DR: Inverse scattering problems in planar and spherically layered media have been studied in this article, where Dyadic Green's functions have been applied to the mode matching method to solve the problem.
Journal ArticleDOI
Particle swarm optimization in electromagnetics
TL;DR: A study of boundary conditions is presented indicating the invisible wall technique outperforms absorbing and reflecting wall techniques and is integrated into a representative example of optimization of a profiled corrugated horn antenna.