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5 papers · 1 filter
Trainable back-propagated functional transfer matrices
Cheng-Hao Cai, Yanyan Xu, Dengfeng Ke +2
Connections between nodes of fully connected neural networks are usually represented by weight matrices. In this article, functional transfer matrices are introduced as alternative…
Learning of Human-like Algebraic Reasoning Using Deep Feedforward Neural Networks
Cheng-Hao Cai, Dengfeng Ke, Yanyan Xu +1
There is a wide gap between symbolic reasoning and deep learning. In this research, we explore the possibility of using deep learning to improve symbolic reasoning. Briefly, in a r…
Structures of Nichols (braided) Lie algebras of diagonal type
Weicai Wu, Jing Wang, Shouchuan Zhang +1
Let be a braided vector space of diagonal type. Let , and be the Nichols algebra, Nichols Lie algebra and Nichols braided Li…
Automated Low-cost Terrestrial Laser Scanner for Measuring Diameters at Breast Height and Heights of Forest Trees
Pei Wang, Guochao Bu, Ronghao Li +1
Terrestrial laser scanner is a kind of fast, high-precision data acquisition device, which had been more and more applied to the research areas of forest inventory. In this study,…
Basis of Nichols Braided Lie Algebras
Weicai Wu, Jing Wang, Shouchuan Zhang
Assume that is a braided vector space with diagonal type. It is shown that a monomial belongs to Nichols braided Lie algebra if and only if this monomial is co…