8 citations · 13 across the 5 of their papers we have counts for
5 papers
Kernel Sum of Squares for Data Adapted Kernel Learning of Dynamical Systems from Data: A global optimization approach
Daniel Lengyel, Panos Parpas, Boumediene Hamzi +1
This paper examines the application of the Kernel Sum of Squares (KSOS) method for enhancing kernel learning from data, particularly in the context of dynamical systems. Traditiona…
Data-driven cold starting of good reservoirs
Lyudmila Grigoryeva, Boumediene Hamzi, Felix P. Kemeth +4
Using short histories of observations from a dynamical system, a workflow for the post-training initialization of reservoir computing systems is described. This strategy is called…
Simplicity bias, algorithmic probability, and the random logistic map
Boumediene Hamzi, Kamaludin Dingle
Simplicity bias is an intriguing phenomenon prevalent in various input-output maps, characterized by a preference for simpler, more regular, or symmetric outputs. Notably, these ma…
Further elements on hypernormal forms of non-resonant double Hopf singularities
Majid Gazor, Boumediene Hamzi, Ahmad Shoghi
In this paper, we deal with hypernormal forms of non-resonant double Hopf singularities. We investigate the infinite level normal form classification of such singularities with non…
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…