288 citations · 438 across the 34 of their papers we have counts for
6 papers · 1 filter
Clifford Coherent State Transforms on Spheres
Pei Dang, José Mourão, João P. Nunes +1
We introduce a one-parameter family of transforms, , , from the Hilbert space of Clifford algebra valued square integrable functions on the --dimensional sphere,…
A Bi-LSTM-RNN Model for Relation Classification Using Low-Cost Sequence Features
Fei Li, Meishan Zhang, Guohong Fu +2
Relation classification is associated with many potential applications in the artificial intelligence area. Recent approaches usually leverage neural networks based on structure fe…
Coherent State Transforms and the Weyl Equation in Clifford Analysis
José Mourão, João P. Nunes, Tao Qian
We study a transform, inspired by coherent state transforms, from the Hilbert space of Clifford algebra valued square integrable functions $L^2({\mathbb R}^m,dx)\otimes {\mathbb C}…
Aveiro Method in Reproducing Kernel Hilbert Spaces Under Complete Dictionary
Weixiong Mai, Tao Qian
Aveiro Method is a sparse representation method in reproducing kernel Hilbert spaces (RKHS) that gives orthogonal projections in linear combinations of reproducing kernels over uni…
Adaptative decomposition: the case of the Drury-Arveson space
Daniel Alpay, Fabrizio Colombo, Tao Qian +1
The maximum selection principle allows to give expansions, in an adaptive way, of functions in the Hardy space of the disk in terms of Blaschke products. The expansio…
Extending coherent state transforms to Clifford analysis
William D. Kirwin, José Mourão, João P. Nunes +1
We introduce two extensions of the Segal-Bargmann coherent state transform from to Hilbert spaces of slice monogenic and axial monogenic functions and study t…