2 papers
math.AP2021
Global existence and uniqueness of solutions for one-dimensional reaction-interface systems
Yan-Yu Chen, Hirokazu Ninomiya, Chang-Hong Wu
In this paper, we provide a mathematical framework in studying the wave propagation with the annihilation phenomenon in excitable media. We deal with the existence and uniqueness o…
stat.ML2020
No one-hidden-layer neural network can represent multivariable functions
Masayo Inoue, Mana Futamura, Hirokazu Ninomiya
In a function approximation with a neural network, an input dataset is mapped to an output index by optimizing the parameters of each hidden-layer unit. For a unary function, we pr…