A novel nonlinear optimization method for fitting a noisy Gaussian activation function

J Li, F Ding, T Hayat - … Journal of Adaptive Control and Signal …, 2022 - Wiley Online Library
It is significant to fit a Gaussian function with the observation data for artificial intelligence or
other engineering fields. Considering the influence of noises, this article proposes a …

The parameter estimation algorithms based on the dynamical response measurement data

L Xu - Advances in Mechanical Engineering, 2017 - journals.sagepub.com
This article studies the parameter estimation to the system response from the discrete
measurement data. By constructing the dynamical rolling cost functions and using the …

Gradient-based parameter estimation for a nonlinear exponential autoregressive time-series model by using the multi-innovation

J Pan, Y Liu, J Shu - International Journal of Control, Automation and …, 2023 - Springer
The parameter estimation methods for the nonlinear exponential autoregressive model are
investigated in this paper. We develop a forgetting factor gradient parameter estimation …

Recursive least squares and multi-innovation stochastic gradient parameter estimation methods for signal modeling

L Xu, F Ding - Circuits, Systems, and Signal Processing, 2017 - Springer
The sine signals are widely used in signal processing, communication technology, system
performance analysis and system identification. Many periodic signals can be transformed …

Performance analysis of multi-innovation gradient type identification methods

F Ding, T Chen - Automatica, 2007 - Elsevier
It is well-known that the stochastic gradient (SG) identification algorithm has poor
convergence rate. In order to improve the convergence rate, we extend the SG algorithm …

Multi-innovation extended stochastic gradient algorithm and its performance analysis

Y Liu, L Yu, F Ding - Circuits, Systems and Signal Processing, 2010 - Springer
This paper derives the multi-innovation extended stochastic gradient algorithm for controlled
autoregressive moving average models by expanding the scalar innovation to an innovation …

Robust gradient estimation algorithm for a stochastic system with colored noise

W Liu, W Xiong - International Journal of Control, Automation and …, 2023 - Springer
This paper studies the parameter estimation algorithms of a finite impulse response system
with colored noise. To suppress the negative effects of the colored noises, a novel gradient …

Maximum likelihood extended gradient‐based estimation algorithms for the input nonlinear controlled autoregressive moving average system with variable‐gain …

X Liu, Y Fan - International Journal of Robust and Nonlinear …, 2021 - Wiley Online Library
Variable‐gain nonlinearity is a piecewise‐linear characteristic to describe the process with
different gains in different input regions. This article studies the parameter estimation issue …

Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises

F Ding, PX Liu, G Liu - Signal Processing, 2009 - Elsevier
For pseudo-linear regression identification models corresponding output error systems with
colored measurement noises, a difficulty of identification is that there exist unknown inner …

Three‐stage forgetting factor stochastic gradient parameter estimation methods for a class of nonlinear systems

Y Ji, Z Kang - International Journal of Robust and Nonlinear …, 2021 - Wiley Online Library
This article focuses on the parameter estimation for a class of nonlinear systems, that is,
multi‐input single‐output or two‐input single‐output Hammerstein finite impulse response …