85 citations · 302 across the 30 of their papers we have counts for
4 papers · 1 filter
Adaptive Kernel Selection for Kernelized Diffusion Maps
Othmane Aboussaad, Adam Miraoui, Boumediene Hamzi +1
Selecting an appropriate kernel is a central challenge in kernel-based spectral methods. In \emph{Kernelized Diffusion Maps} (KDM), the kernel determines the accuracy of the RKHS e…
Learning Dynamical Systems from Data: A Simple Cross-Validation Perspective, Part V: Sparse Kernel Flows for 132 Chaotic Dynamical Systems
Lu Yang, Xiuwen Sun, Boumediene Hamzi +2
Regressing the vector field of a dynamical system from a finite number of observed states is a natural way to learn surrogate models for such systems. A simple and interpretable wa…
One-Shot Learning of Stochastic Differential Equations with Data Adapted Kernels
Matthieu Darcy, Boumediene Hamzi, Giulia Livieri +2
We consider the problem of learning Stochastic Differential Equations of the form from one sample trajectory. This problem is more challenging than le…
Learning dynamical systems from data: A simple cross-validation perspective, part III: Irregularly-Sampled Time Series
Jonghyeon Lee, Edward De Brouwer, Boumediene Hamzi +1
A simple and interpretable way to learn a dynamical system from data is to interpolate its vector-field with a kernel. In particular, this strategy is highly efficient (both in ter…