Xiaofeng Xu

The Elias Type Upper Bound of Codes over Symbol-pair Read Channels

2020

Motivated by the application of high-density data storage technologies, symbol-pair read channels are proposed in which every two consecutive symbols are read together. A lot of work has been done on this coding model. Bounds …

A Neuron-Wise Subspace Correction Method for the Finite Neuron Method

2024 · Journal of Computational Mathematics

In this paper, we propose a novel algorithm called neuron-wise parallel subspace correction method for the finite neuron method that approximates numerical solutions of partial differential equations (PDEs) using neural network functions. Despite extremely extensive …