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5 papers · 1 filter
On Learning and Learned Data Representation by Capsule Networks
Ancheng Lin, Jun Li, Zhenyuan Ma
In this work, we investigate the following: 1) how the routing affects the CapsNet model fitting; 2) how the representation using capsules helps discover global structures in data…
Planar Semi-quasi Homogeneous Polynomial differential systems with a given degree
Yuzhou Tian, Haihua Liang
This paper study the planar semi-quasi homogeneous polynomial differential systems (short for PSQHPDS), which can be regard as a generalization of semi-homogeneous and of quasi-hom…
Generation of ring-shaped optical vortices in dissipative media by inhomogeneous effective diffusion
Shiquan Lai, Huishan Li, Yunli Qui +4
By means of systematic simulations we demonstrate generation of a variety of ring-shaped optical vortices (OVs) from a two-dimensional input with embedded vorticity, in a dissipati…
Airy-soliton interactions in self-defocusing media with PT potentials
Zhiwei Shi, Huagang Li, Xing Zhu +1
We investigate Airy-soliton interactions in self-defocusing media with PT potentials in one transverse dimension. We discuss different potentials in which the interacting beams wit…
A construction of free digroup
Guangliang Zhang, Yuqun Chen
We give a construction of a free digroup on a set and formulate the halo and the group parts of . We prove that is isomorphic to if and only if $card…