3 papers
cs.LG2024
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…
cs.LG2023
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…
gr-qc2019
Higher Order Linear Stability and Instability of Reissner-Nordström's Cauchy Horizon
João L. Costa, Pedro M. Girão
We consider smooth solutions of the wave equation, on a fixed black hole region of a subextremal Reissner-Nordström (asymptotically flat, de Sitter or anti-de Sitter) spacetime, wh…