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Found 3 papers, 0 papers with code
Conditional expectation using compactification operators
The separate tasks of denoising, least squares expectation, and manifold learning can often be posed in a common setting of finding the conditional expectations arising from a product of two random variables.
An information-geometric approach to feature extraction and moment reconstruction in dynamical systems
One of our main results shows that the evolution of the moments of the dynamics-dependent probability measures can be related to a time-averaging operator on the original dynamical system.
Reproducing kernel Hilbert space compactification of unitary evolution groups
These eigenfunctions can be ordered in terms of a Dirichlet energy on the RKHS, and provide a notion of coherent observables under the dynamics akin to the Koopman eigenfunctions associated with the atomic part of the spectrum.
Time Series Analysis
Dynamical Systems
37M99, 37M25, 37A30, 47A60, 28D10, 37A10, 47A35, 37M10
