4 papers
A Land of Oblique Duality for Frames and Probabilistic Frames
Dongwei Chen, Emily J. King, Clayton Shonkwiler
Functions or distributions used to sample and to reconstruct signals often occur in different domains, like the Dirac delta and a band-limited bump function in classical sampling.…
Probabilistic Dual Frames and Minimization of Dual Frame Potentials
Dongwei Chen
This paper studies probabilistic dual frames and the associated dual frame potentials from the perspective of optimal mass transport. The main contribution of this work shows that…
Approximately Dual and Pseudo-Dual Probabilistic Frames
Dongwei Chen, Emily J. King, Clayton Shonkwiler
This paper studies properties of dual probabilistic frames -- in particular in relation to redundancy -- and introduces both approximately dual probabilistic frames and pseudo-dual…
On the Probabilistic Approximation in Reproducing Kernel Hilbert Spaces
Dongwei Chen, Kai-Hsiang Wang
This paper studies the probabilistic function approximation problem over reproducing kernel Hilbert spaces. We show the existence and uniqueness of the optimizer under mild assumpt…