2 papers
cs.LG2026
Mathematical analysis of one-layer neural network with fixed biases, a new activation function and other observations
Fabricio MaciÃ, Shu Nakamura
We analyze a simple one-hidden-layer neural network with ReLU activation functions and fixed biases, with one-dimensional input and output. We study both continuous and discrete ve…
math-ph2024
Continuum limit of resonances for discrete Schrödinger operators
Kentaro Kameoka, Shu Nakamura
We consider complex resonances for discrete and continuous Schrödinger operators, and we show that the resonances of discrete models converge to resonances of continuous models in…