2 papers
stat.ML2025
From Universal Approximation Theorem to Tropical Geometry of Multi-Layer Perceptrons
Yi-Shan Chu, Yueh-Cheng Kuo
We revisit the Universal Approximation Theorem(UAT) through the lens of the tropical geometry of neural networks and introduce a constructive, geometry-aware initialization for sig…
math.AP2023
On the nonlinear Schrödinger-Poisson systems with positron-electron interaction
Ching-yu Chen, Yueh-cheng Kuo, Tsung-fang Wu
We study the Schrödinger-Poisson type system: \begin{equation*} \left\{ \begin{array}{ll} -Δu+λu+\left( μ_{11}ϕ_{u}-μ_{12}ϕ_{v}\right) u=% \frac{1}{2π}\int_{0}^{2π}\left\vert u+e^{…