Study on fractional order gradient methods
From MaRDI portal
Publication:1740102
DOI10.1016/j.amc.2017.07.023zbMath1426.65077OpenAlexW2738081312MaRDI QIDQ1740102
Yiheng Wei, Qing Gao, Yong Wang, Yu-Quan Chen
Publication date: 29 April 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2017.07.023
Numerical mathematical programming methods (65K05) Fractional derivatives and integrals (26A33) Methods of reduced gradient type (90C52) Fractional ordinary differential equations (34A08)
Related Items (16)
Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems ⋮ A sigmoidal fractional derivative for regularization ⋮ A quasi fractional order gradient descent method with adaptive stepsize and its application in system identification ⋮ An innovative fractional order LMS algorithm for power signal parameter estimation ⋮ Accelerating gradient descent and Adam via fractional gradients ⋮ A global neural network learning machine: coupled integer and fractional calculus operator with an adaptive learning scheme ⋮ Solving ill-posed problems faster using fractional-order Hopfield neural network ⋮ Nabla fractional distributed optimization algorithms over undirected/directed graphs ⋮ Applications of fractional gradient descent method with adaptive momentum in BP neural networks ⋮ An anomalous diffusion model based on a new general fractional operator with the Mittag-Leffler function of Wiman type ⋮ Optimal homotopy asymptotic method-least square for solving nonlinear fractional-order gradient-based dynamic system from an optimization problem ⋮ Generalization of the gradient method with fractional order gradient direction ⋮ A bias-compensated fractional order normalized least mean square algorithm with noisy inputs ⋮ Numerical solution of fractional-order time-varying delayed differential systems using Lagrange interpolation ⋮ Optimization and learning with nonlocal calculus ⋮ Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems
Uses Software
Cites Work
- Unnamed Item
- Heat conduction modeling by using fractional-order derivatives
- Design of modified fractional adaptive strategies for Hammerstein nonlinear control autoregressive systems
- Sliding mode control with a second-order switching law for a class of nonlinear fractional order systems
- Adaptive backstepping output feedback control for a class of nonlinear fractional order systems
- Design of sliding mode controller for a class of fractional-order chaotic systems
- Identification of Hammerstein nonlinear ARMAX systems using nonlinear adaptive algorithms
- Nonlinear extremum seeking inspired on second order sliding modes
- Parameter estimation for nonlinear time-delay systems with noisy output measurements
- Fractional differential equations in electrochemistry
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Adaptive chatter free sliding mode control for a class of uncertain chaotic systems
- An innovative parameter estimation for fractional-order systems in the presence of outliers
- Stability and operating constraints of adaptive LMS-based feedback control.
- Indirect model reference adaptive control for a class of fractional order systems
- Fractional-order sliding mode based extremum seeking control of a class of nonlinear systems
- An historical perspective on fractional calculus in linear viscoelasticity
- A sliding-window approximation-based fractional adaptive strategy for Hammerstein nonlinear ARMAX systems
- New IIR filter-based adaptive algorithm in active noise control applications: Commutation error-introduced LMS algorithm and associated convergence assessment by a deterministic approach
- Fractional Differential Mask: A Fractional Differential-Based Approach for Multiscale Texture Enhancement
This page was built for publication: Study on fractional order gradient methods