5 papers
Convolutional neural networks with fractional order gradient method
Dian Sheng, Yiheng Wei, Yuquan Chen +1
This paper proposes a fractional order gradient method for the backward propagation of convolutional neural networks. To overcome the problem that fractional order gradient method…
A novel perspective to gradient method: the fractional order approach
Yuquan Chen, Yiheng Wei, Yong Wang
In this paper, we give some new thoughts about the classical gradient method (GM) and recall the proposed fractional order gradient method (FOGM). It is proven that the proposed FO…
On the Leibniz rule and Laplace transform for fractional derivatives
Yiheng Wei, Da-Yan Liu, Peter W. Tse +1
Taylor series is a useful mathematical tool when describing and constructing a function. With the series representation, some properties of fractional calculus can be revealed clea…
Modelling and simulation of nabla fractional dynamic systems with nonzero initial conditions
Yiheng Wei, Jiachang Wang, Peter W Tse +1
The paper focuses on the numerical approximation of nabla fractional order systems with the conditions of nonzero initial instant and nonzero initial state. First, the inverse nabl…
Sufficient and necessary conditions for stabilizing singular fractional order systems with partially measurable state
Yiheng Wei, Jiachang Wang, Tianyu Liu +1
This paper is concerned with the stabilization problem of singular fractional order systems with order . In addition to the sufficient and necessary condition for observ…