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cs.LG2024
Universal approximation property of ODENet and ResNet with a single activation function
Masato Kimura, Kazunori Matsui, Yosuke Mizuno
We study a universal approximation property of ODENet and ResNet. The ODENet is a map from an initial value to the final value of an ODE system in a finite interval. It is consider…
math.AP2024
On the well-posedness of a Hele-Shaw-like system resulting from an inverse geometry problem formulated through a shape optimization setting
Julius Fergy Tiongson Rabago, Masato Kimura
The purpose of this study is twofold. First, we revisit a shape optimization reformulation of a prototypical shape inverse problem and briefly propose a simple yet efficient numeri…