3 papers
math.AP2026
Global regularity for potentials of optimal transport of non-convex planar domains
Shengnan Hu, Yuanyuan Li
In this paper, we investigate the optimal transport problem when the source is a non-convex polygonal domain in . We show a global estimate for potentials…
stat.ML2024
The sampling complexity of learning invertible residual neural networks
Yuanyuan Li, Philipp Grohs, Philipp Petersen
In recent work it has been shown that determining a feedforward ReLU neural network to within high uniform accuracy from point samples suffers from the curse of dimensionality in t…
math.NA2024
Function and derivative approximation by shallow neural networks
Yuanyuan Li, Shuai Lu
We investigate a Tikhonov regularization scheme specifically tailored for shallow neural networks within the context of solving a classic inverse problem: approximating an unknown…