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This paper is devoted to proving convergence rates of variational and iterative regularization methods under variational source conditions VSCs for inverse problems whose linearization satisfies a range invariance condition. In order to…

Numerical Analysis · Mathematics 2024-03-28 Barbara Kaltenbacher

Application of Genetic Algorithm (GA) for determination of parameters of an analytical representation of diatomic molecule potential is presented. GA can be used for finding potential characteristics of an electronic energy state which can…

Chemical Physics · Physics 2020-05-12 Tomasz Urbanczyk , Jaroslaw Koperski

Optimal Mixing (OM) is a variation operator that integrates local search with genetic recombination. EAs with OM are capable of state-of-the-art optimization in discrete spaces, offering significant advantages over classic…

Neural and Evolutionary Computing · Computer Science 2025-06-19 Anton Bouter , Dirk Thierens , Peter A. N. Bosman

We propose a genetic algorithm (GA) for hyperparameter optimization of artificial neural networks which includes chromosomal crossover as well as a decoupling of parameters (i.e., weights and biases) from hyperparameters (e.g., learning…

Neural and Evolutionary Computing · Computer Science 2019-01-15 Aaron Vose , Jacob Balma , Alex Heye , Alessandro Rigazzi , Charles Siegel , Diana Moise , Benjamin Robbins , Rangan Sukumar

In return for the long-standing contributions of Physics to Biology, now the inverse way is frequently traveled through in order to think about many physics phenomena. In this vein, evolutionary algorithms, particularly genetic algorithms,…

Statistical Mechanics · Physics 2007-05-23 Cesar O. Stoico , Danilo G. Renzi , Fernando Vericat

A genetic algorithm procedure is demonstrated that refines the selection of interpolation points of the discrete empirical interpolation method (DEIM) when used for constructing reduced order models for time dependent and/or parametrized…

Numerical Analysis · Mathematics 2016-07-27 Syuzanna Sargsyan , Steven L. Brunton , J. Nathan Kutz

Genetic Algorithms (GAs) are used to solve search and optimization problems in which an optimal solution can be found using an iterative process with probabilistic and non-deterministic transitions. However, depending on the problem's…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-23 Matheus F. Torquato , Marcelo A. C. Fernandes

In this paper, we study a fast approximate inference method based on expectation propagation for exploring the posterior probability distribution arising from the Bayesian formulation of nonlinear inverse problems. It is capable of…

Numerical Analysis · Mathematics 2015-06-18 Matthias Gehre , Bangti Jin

One important feature of complex systems are problem domains that have many local minima and substructure. Biological systems manage these local minima by switching between different subsystems depending on their environmental or…

Neural and Evolutionary Computing · Computer Science 2022-08-25 Ankit Grover , Vaishali Yadav , Bradly Alicea

This paper presents a parameter-less optimization framework that uses the extended compact genetic algorithm (ECGA) and iterated local search (ILS), but is not restricted to these algorithms. The presented optimization algorithm (ILS+ECGA)…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Claudio F. Lima , Fernando G. Lobo

The graph partitioning problem (GPP) is among the most challenging models in optimization. Because of its NP-hardness, the researchers directed their interest towards approximate methods such as the genetic algorithms (GA). The edge-based…

Neural and Evolutionary Computing · Computer Science 2023-07-21 Ali Chaouche , Menouar Boulif

Since most inverse problems arising in scientific and engineering applications are ill-posed, prior information about the solution space is incorporated, typically through regularization, to establish a well-posed problem with a unique…

Signal Processing · Electrical Eng. & Systems 2024-06-18 Carter Lyons , Raghu G. Raj , Margaret Cheney

Quantum Genetic Algorithms (QGAs) are an emerging field of multivariate quantum optimization that emulate Darwinian evolution and natural selection, with vast applications in chemistry and engineering. The appropriate application of fitness…

Quantum Physics · Physics 2025-12-24 Dennis Lima , Rakesh Saini , Saif Al-Kuwari

We introduce a framework for analyzing and designing EIS inversion algorithms. Our framework stems from the observation of four features common to well-defined EIS inversion algorithms, namely (1) the representation of unknown…

Computational Physics · Physics 2020-06-15 Surya Effendy , Juhyun Song , Martin Z. Bazant

Physics has played a fundamental role in medicine sciences, specially in imaging diagnostic. Currently, image reconstruction techniques are already taught in Physics courses and there is a growing interest in new potential applications. The…

Physics Education · Physics 2013-02-22 Olavo Henrique Menin , Vanessa Rolnik , Alexandre Souto Martinez

The aim of electrical impedance tomography is to reconstruct the admittivity distribution inside a physical body from boundary measurements of current and voltage. Due to the severe ill-posedness of the underlying inverse problem, the…

Analysis of PDEs · Mathematics 2022-07-19 Jérémi Dardé , Nuutti Hyvönen , Aku Seppänen , Stratos Staboulis

Genetic algorithms are a well-known example of bio-inspired heuristic methods. They mimic natural selection by modeling several operators such as mutation, crossover, and selection. Recent discoveries about Epigenetics regulation processes…

Neural and Evolutionary Computing · Computer Science 2023-03-20 Mohamed Djallel Dilmi , Hanene Azzag , Mustapha Lebbah

The inverse mapping of GANs'(Generative Adversarial Nets) generator has a great potential value.Hence, some works have been developed to construct the inverse function of generator by directly learning or adversarial learning.While the…

Machine Learning · Computer Science 2017-09-13 Junyu Luo , Yong Xu , Chenwei Tang , Jiancheng Lv

The regularized D-bar method is a popular method for solving Electrical Impedance Tomography (EIT) problems due to its efficiency and simplicity. It utilizes the low-pass truncated scattering data in the non-linear Fourier domain to solve…

Numerical Analysis · Mathematics 2025-02-10 Xiang Cao , Qiaoqiao Ding , Xiaoqun Zhang

Electrical Resistivity Tomography (ERT) has become widely used for engineering and environmental applications in the last couple of decades due to (1) the simplification and automating of resistivity meters and (2) the new generation of…

Geophysics · Physics 2024-04-18 Deparis Jacques , Gance Julien , Orlando Leite
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