16 citations · 18 across the 7 of their papers we have counts for
9 papers
Mabuchi rays, test configurations and quantization for toric manifolds
António Gouveia, José M. Mourão, João P. Nunes
We consider Mabuchi rays of toric Kähler structures on symplectic toric manifolds which are associated to toric test configurations and that are generated by convex functions on th…
The Positivity of the Neural Tangent Kernel
Luís Carvalho, João L. Costa, José Mourão +1
The Neural Tangent Kernel (NTK) has emerged as a fundamental concept in the study of wide Neural Networks. In particular, it is known that the positivity of the NTK is directly rel…
Wide neural networks: From non-gaussian random fields at initialization to the NTK geometry of training
Luís Carvalho, João Lopes Costa, José Mourão +1
Recent developments in applications of artificial neural networks with over parameters make it extremely important to study the large behaviour of such networks. Mo…
Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem
Thomas Baier, Joachim Hilgert, Oğuzhan Kaya +2
In this paper we use techniques of geometric quantization to give a geometric interpretation of the Peter--Weyl theorem. We present a novel approach to half-form corrected geometri…
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,…
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}…