A novel iterative integration regularization method for ill-posed inverse problems
Sign Up to like & getrecommendations! Published in 2021 at "Engineering with Computers"
DOI: 10.1007/s00366-019-00920-z
Abstract: This paper proposes a new iterative integration regularization method for robust solution of ill-posed inverse problems. The proposed method is motivated from the fact that inversion of a positive definite matrix can be expressed in… read more here.
Keywords: iterative integration; ill posed; method; proposed method ... See more keywords
Application of chaos in a recurrent neural network to control in ill-posed problems: a novel autonomous robot arm
Sign Up to like & getrecommendations! Published in 2018 at "Biological Cybernetics"
DOI: 10.1007/s00422-018-0775-9
Abstract: Inspired by a viewpoint that complex/chaotic dynamics would play an important role in biological systems including the brain, chaotic dynamics introduced in a recurrent neural network was applied to robot control in ill-posed situations. By… read more here.
Keywords: robot arm; robot; ill posed; neural network ... See more keywords
Convergence Rates of First- and Higher-Order Dynamics for Solving Linear Ill-Posed Problems
Sign Up to like & getrecommendations! Published in 2021 at "Foundations of Computational Mathematics"
DOI: 10.1007/s10208-021-09536-6
Abstract: Recently, there has been a great interest in analysing dynamical flows, where the stationary limit is the minimiser of a convex energy. Particular flows of great interest have been continuous limits of Nesterov’s algorithm and… read more here.
Keywords: ill posed; convergence rates; posed problems; linear ill ... See more keywords
Solution methods for linear discrete ill-posed problems for color image restoration
Sign Up to like & getrecommendations! Published in 2018 at "BIT Numerical Mathematics"
DOI: 10.1007/s10543-018-0706-0
Abstract: This work discusses four algorithms for the solution of linear discrete ill-posed problems with several right-hand side vectors. These algorithms can be applied, for instance, to multi-channel image restoration when the image degradation model is… read more here.
Keywords: image; linear discrete; ill posed; posed problems ... See more keywords
Extended Newton-type iteration for nonlinear ill-posed equations in Banach space
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-018-01221-2
Abstract: In this paper, we study nonlinear ill-posed equations involving m-accretive mappings in Banach spaces. We produce an extended Newton-type iterative scheme that converges cubically to the solution which uses assumptions only on the first Fréchet… read more here.
Keywords: nonlinear ill; posed equations; ill posed; extended newton ... See more keywords
An iterative method to compute minimum norm solutions of ill-posed problems in Hilbert spaces
Sign Up to like & getrecommendations! Published in 2019 at "Afrika Matematika"
DOI: 10.1007/s13370-019-00685-0
Abstract: We study an algorithm to compute minimum norm solution of ill-posed problems in Hilbert spaces and investigate its regularizing properties with discrepancy principle stopping rule. This algorithm results from straightly applying the LSQR method to… read more here.
Keywords: compute minimum; minimum norm; ill posed; method ... See more keywords
Regularized Adaptive Observer to Address Deficient Excitation
Sign Up to like & getrecommendations! Published in 2019 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2019.12.658
Abstract: Abstract Adaptive observers are recursive algorithms for joint estimation of both state variables and unknown parameters. Usually some persistent excitation (PE) condition is required for the convergence of adaptive observers. However, in practice, it may… read more here.
Keywords: regularized adaptive; ill posed; observer address; excitation ... See more keywords
The existence of solutions for nonlinear elliptic equations: Simple proofs and extensions of a paper by Y. Shi
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2022.02.014
Abstract: The paper [Shi19] uses the Craig-Wayne-Bourgain method to construct solutions of an elliptic problem involving parameters. The results of [Shi19] include regularity assumptions on the perturbation and involve excluding parameters. The paper [Shi19] also constructs… read more here.
Keywords: paper; ill posed; problem; elliptic equations ... See more keywords
Direct NMR T1 distribution measurement without using ill-posed fitting methods.
Sign Up to like & getrecommendations! Published in 2019 at "Journal of magnetic resonance"
DOI: 10.1016/j.jmr.2019.106624
Abstract: The usual Nuclear Magnetic Resonance (NMR) experiments for measuring spin-lattice relaxation time (T1) distributions are Inversion-Recovery (IR) and Saturation-Recovery (SR), followed by data processing based on ill-posed multi-exponential curve fitting methods. Recently, a new method… read more here.
Keywords: without using; ill posed; fitting methods; nmr distribution ... See more keywords
Fidelity imposed network edit (FINE) for solving ill-posed image reconstruction
Sign Up to like & getrecommendations! Published in 2020 at "NeuroImage"
DOI: 10.1016/j.neuroimage.2020.116579
Abstract: Deep learning (DL) is increasingly used to solve ill-posed inverse problems in medical imaging, such as reconstruction from noisy and/or incomplete data, as DL offers advantages over conventional methods that rely on explicit image features… read more here.
Keywords: reconstruction; image; network; ill posed ... See more keywords
Experimental use of the inflection point test for force deconvolution in frequency-modulation atomic force microscopy to turn an ill-posed situation into a well-posed one by proper choice of amplitude
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Applied Physics"
DOI: 10.1063/5.0003291
Abstract: Frequency-modulation atomic force microscopy allows one to measure the force between a sharp tip and a sample and, ultimately, the force between two single atoms with outstanding precision. To extract forces from the measured frequency… read more here.
Keywords: microscopy; ill posed; well posed; force ... See more keywords