In the new era of the 21st century,it is highly relevant to improve humanity higher education and cultivate college students to be equipped with humanistic spirit and excellent academic skills.How to create an innovat...In the new era of the 21st century,it is highly relevant to improve humanity higher education and cultivate college students to be equipped with humanistic spirit and excellent academic skills.How to create an innovation-driven model for humanistic inheritance and development in higher education,and enhance the level of humanity education in universities has played an important role in social education.Thereby,the paper puts forward a brand-new model to integrate thinking out of the box initiatives and multi-cultures,which is valuable to write a new chapter for the humanity higher education.展开更多
This paper deals with deriving the properties of updated neural network model that is exploited to identify an unknown nonlinear system via the standard gradient learning algorithm. The convergence of this algorithm f...This paper deals with deriving the properties of updated neural network model that is exploited to identify an unknown nonlinear system via the standard gradient learning algorithm. The convergence of this algorithm for online training the three-layer neural networks in stochastic environment is studied. A special case where an unknown nonlinearity can exactly be approximated by some neural network with a nonlinear activation function for its output layer is considered. To analyze the asymptotic behavior of the learning processes, the so-called Lyapunov-like approach is utilized. As the Lyapunov function, the expected value of the square of approximation error depending on network parameters is chosen. Within this approach, sufficient conditions guaranteeing the convergence of learning algorithm with probability 1 are derived. Simulation results are presented to support the theoretical analysis.展开更多
文摘In the new era of the 21st century,it is highly relevant to improve humanity higher education and cultivate college students to be equipped with humanistic spirit and excellent academic skills.How to create an innovation-driven model for humanistic inheritance and development in higher education,and enhance the level of humanity education in universities has played an important role in social education.Thereby,the paper puts forward a brand-new model to integrate thinking out of the box initiatives and multi-cultures,which is valuable to write a new chapter for the humanity higher education.
文摘This paper deals with deriving the properties of updated neural network model that is exploited to identify an unknown nonlinear system via the standard gradient learning algorithm. The convergence of this algorithm for online training the three-layer neural networks in stochastic environment is studied. A special case where an unknown nonlinearity can exactly be approximated by some neural network with a nonlinear activation function for its output layer is considered. To analyze the asymptotic behavior of the learning processes, the so-called Lyapunov-like approach is utilized. As the Lyapunov function, the expected value of the square of approximation error depending on network parameters is chosen. Within this approach, sufficient conditions guaranteeing the convergence of learning algorithm with probability 1 are derived. Simulation results are presented to support the theoretical analysis.
