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On Fractional Tikhonov Regularization: Application to the Adaptive Network-Based Fuzzy Inference System for Regression Problems

IEEE Transactions on Fuzzy Systems, 2022
In this article, we introduce a variant of the adaptive network-based fuzzy inference system (ANFIS). The proposed variant does not use backpropagation and grid partitioning, but the least-squares method with fractional Tikhonov regularization.
Stefania Tomasiello   +2 more
exaly   +2 more sources

The Tikhonov regularization method for the inverse source problem of time fractional heat equation in the view of ABC-fractional technique

Physica Scripta, 2021
This research considers an inverse source problem for fractional diffusion equation that containing fractional derivative with non-singular and non-local kernel, namely, Atangana-Baleanu-Caputo fractional derivative.
Smina Djennadi   +5 more
semanticscholar   +1 more source

Accelerated Gradient Methods Combining Tikhonov Regularization with Geometric Damping Driven by the Hessian

Applied Mathematics and Optimization, 2022
In a Hilbert framework, for general convex differentiable optimization, we consider accelerated gradient dynamics combining Tikhonov regularization with Hessian-driven damping.
H. Attouch   +3 more
semanticscholar   +1 more source

A Modified Incremental Harmonic Balance Method Combined with Tikhonov Regularization for Periodic Motion of Nonlinear System

Journal of applied mechanics, 2021
In this paper, a modified incremental harmonic balance (IHB) method combined with Tikhonov regularization has been proposed to achieve the semi-analytical solution for the periodic nonlinear system.
Ze-chang Zheng   +4 more
semanticscholar   +1 more source

Augmented Tikhonov regularization

Inverse Problems, 2008
This paper proposes a regularizing functional of Tikhonov type that determines the regularization parameter and the noise level along with the solutions for linear inverse problems in the Bayesian framework. The existence of minimizers to the functional is shown, and properties of the minimizers are studied.
Bangti Jin, Jun Zou
openaire   +1 more source

Compressive Sensing Based SAR Imaging and Autofocus Using Improved Tikhonov Regularization

IEEE Sensors Journal, 2019
For synthetic aperture radar (SAR) imaging, the compressive sensing (CS) coupled with total variation (TV)-based algorithm is known as an effective focusing technique using under-sampled dataset.
Minseok Kang, Kyungtae Kim
semanticscholar   +1 more source

Tikhonov Regularization and Randomized GSVD

SIAM Journal on Matrix Analysis and Applications, 2016
Summary: The generalized singular value decomposition (GSVD) is one of the essential tools in numerical linear algebra. This paper proposes a regularization method, combining Tikhonov regularization in general form with the truncated GSVD. Then the randomized algorithms are adopted to implement the truncation process.
Wei, Yimin, Xie, Pengpeng, Zhang, Liping
openaire   +2 more sources

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