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20182021
most citedConvolutional neural networks with fractional order gradient method

75 citations · 91 across the 10 of their papers we have counts for

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Showing 2019Show all

7 papers · 1 filter

math.GM2019★ 1 cited

Analytical calculation of the inverse nabla Laplace transform

Yiheng Wei, YangQuan Chen, Yuquan Chen +1

The inversion of nabla Laplace transform, corresponding to a causal sequence, is considered. Two classical methods, i.e., residual calculation method and partial fraction method ar…

cs.NE2019

Optimal Randomness in Swarm-Based Search

Jiamin Wei, YangQuan Chen, Yongguang Yu +1

Lévy flights is a random walk where the step-lengths have a probability distribution that is heavy-tailed. It has been shown that Lévy flights can maximize the efficiency of resour…

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…

eess.SY2019★ 2 cited

Fractional order [PI] Controller and Smith-like Predictor Design for A Class of High Order Systems

Zhenlong Wu, Jie Yuan, Yuquan Chen +2

To handle the control difficulties caused by high-order dynamics, a control structure based on fractional order [proportional integral] (PI) controller and fractional order Smith-l…

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…

eess.SY2019

A universal framework of GKYP lemma for singular fractional order systems

Yuman Li, Yiheng Wei, Yuquan Chen +1

The well-known GKYP is widely used in system analysis, but for singular systems, especially singular fractional order systems, there is no corresponding theory, for which many cont…