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20182023
most citedDesign of generalized fractional order gradient descent method

84 citations · 367 across the 17 of their papers we have counts for

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5 papers · 1 filter

math.OC2021★ 3 cited

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…

math.OC2019★ 75 cited

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…

math.OC2019

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…

math.OC2019★ 10 cited

Some fundamental properties on the sampling free nabla Laplace transform

Yiheng Wei, Yuquan Chen, Yong Wang +1

Discrete fractional order systems have attracted more and more attention in recent years. Nabla Laplace transform is an important tool to deal with the problem of nabla discrete fr…

math.OC2019

Adaptive backstepping control for FOS with nonsmooth nonlinearities

Dian Sheng, Yiheng Wei, Songsong Cheng +1

This paper proposes an original solution to input saturation and dead zone of fractional order system. To overcome these nonsmooth nonlinearities, the control input is decomposed i…