3 citations · 4 across the 4 of their papers we have counts for
8 papers
Some useful inequalities for nabla tempered fractional calculus
Yiheng Wei, Linlin Zhao, Kai Cao +1
This paper gives particular emphasis to the nabla tempered fractional calculus, which involves the multiplication of the rising function kernel with tempered functions, and provide…
Finite-time and Fixed-time Convergence in Continuous-time Optimization
Yuquan Chen, Yiheng Wei, YangQuan Chen
It is known that the gradient method can be viewed as a dynamic system where various iterative schemes can be designed as a part of the closed loop system with desirable properties…
Consistent approximation of fractional order operators
Yiheng Wei, YangQuan Chen, Yingdong Wei +1
Fractional order controllers become increasingly popular due to their versatility and superiority in various performance. However, the bottleneck in deploying these tools in practi…
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…