23 citations · 52 across the 12 of their papers we have counts for
6 papers · 1 filter
Bayesian inversion and the Tomita-Takesaki modular group
Luca Giorgetti, Arthur J. Parzygnat, Alessio Ranallo +1
We show that conditional expectations, optimal hypotheses, disintegrations, and adjoints of unital completely positive maps, are all instances of Bayesian inverses. We study the ex…
Spectra for Toeplitz Operators Associated with a Constrained Subalgebra
Christopher Felder, Douglas T. Pfeffer, Benjamin P. Russo
A two-point algebra is a set of bounded analytic functions on the unit disk that agree at two distinct points . This algebra serves as a multiplier algebra for…
Liouville Operators over the Hardy Space
Benjamin P. Russo, Joel A. Rosenfeld
The role of Liouville operators in the study of dynamical systems through the use of occupation measures have been an active area of research in control theory over the past decade…
Motion Tomography via Occupation Kernels
Benjamin P. Russo, Rushikesh Kamalapurkar, Dongsik Chang +1
The goal of motion tomography is to recover a description of a vector flow field using information on the trajectory of a sensing unit. In this paper, we develop a predictor correc…
Occupation Kernel Hilbert Spaces for Fractional Order Liouville Operators and Dynamic Mode Decomposition
Joel A. Rosenfeld, Benjamin Russo, Xiuying Li
This manuscript gives a theoretical framework for a new Hilbert space of functions, the so called occupation kernel Hilbert space (OKHS), that operate on collections of signals rat…
Theoretical Foundations for the Dynamic Mode Decomposition of High Order Dynamical Systems
Joel A. Rosenfeld, Benjamin P. Russo, Rushikesh Kamalapurkar
Conventionally, data driven identification and control problems for higher order dynamical systems are solved by augmenting the system state by the derivatives of the output to for…