Dongpo Xu

Convergence of the RMSProp deep learning method with penalty for nonconvex optimization

Dongpo Xu, Shengdong Zhang, Huisheng Zhang et al. · Neural Networks · 2021 · 227 citations

Computing, Computer Science, Mathematics +13

Optimization in Quaternion Dynamic Systems: Gradient, Hessian, and Learning Algorithms

Dongpo Xu, Yili Xia, Danilo P. Mandic · IEEE Transactions on Neural Networks and Learning Systems · 2015 · 133 citations · Full text

Natural Sciences, Computer Science, Mathematics +7

The Theory of Quaternion Matrix Derivatives

Dongpo Xu, Danilo P. Mandic · IEEE Transactions on Signal Processing · 2015 · 124 citations · Full text

Natural Sciences, Mathematics, Computational Physics +7

Enabling quaternion derivatives: the generalized HR calculus

Dongpo Xu, Cyrus Jahanchahi, Clive Cheong Took et al. · Royal Society Open Science · 2015 · 120 citations · Full text

Natural Sciences, Computer Science, Mathematics +12

COMPUTING EXPONENTIALS OF SKEW-SYMMETRIC MATRICES AND LOGARITHMS OF ORTHOGONAL MATRICES

Jean Gallier, Dongpo Xu · 2002 · 107 citations

Computing, Computer Science, Computational Geometry +9