4 papers
Neural network approximation in discrete dual norms with adaptive test spaces
Tanakorn Udomworarat, Ignacio Brevis, Kristoffer G. van der Zee +1
In robust variational physics-informed neural networks (RVPINNs), the loss function is formulated in terms of the Riesz representative of the variational residual within a discrete…
Neural network methods for Neumann series problems of Perron-Frobenius operators
T. Udomworarat, I. Brevis, M. Richter +2
Problems related to Perron-Frobenius operators (or transfer operators) have been extensively studied and applied across various fields. In this work, we propose neural network meth…
An algorithm for finding minimal generating sets of finite groups
Tanakorn Udomworarat, Teerapong Suksumran
In this article, we study connections between components of the Cayley graph , where is an arbitrary subset of a group , and cosets of the subgroup of …
Frobenius reciprocity on the space of functions invariant under a group action
Teerapong Suksumran, Tanakorn Udomworarat
This article studies connections between group actions and their corresponding vector spaces. Given an action of a group on a nonempty set , we examine the space of s…