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cs.LG2024
A spectral mixture representation of isotropic kernels with application to random Fourier features
Nicolas Langrené, Xavier Warin, Pierre Gruet
Rahimi and Recht (2007) introduced the idea of decomposing positive definite shift-invariant kernels by randomly sampling from their spectral distribution for machine learning appl…
cs.LG2024
P1-KAN: an effective Kolmogorov-Arnold network with application to hydraulic valley optimization
Xavier Warin
A new Kolmogorov-Arnold network (KAN) is proposed to approximate potentially irregular functions in high dimensions. We provide error bounds for this approximation, assuming that t…
math.OC2024
Representation results and error estimates for differential games with applications using neural networks
Olivier Bokanowski, Xavier Warin
We study deterministic optimal control problems for differential games with finite horizon. We propose new approximations of the strategies in feedback form, and show error estimat…