@misc{10481/103369,
year = {2024},
month = {1},
url = {https://hdl.handle.net/10481/103369},
abstract = {We present a new method to estimate the ratedistortion-perception function in the perfect realism regime 
(PR-RDPF), for multivariate continuous sources subject to a singleletter average distortion constraint. The proposed approach is
not only able to solve the specific problem but also two related
problems: the entropic optimal transport (EOT) and the outputconstrained rate-distortion function (OC-RDF), of which the PR-RDPF represents a special case. Using copula distributions, we
show that the OC-RDF can be cast as an I-projection problem on
a convex set, based on which we develop a parametric solution
of the optimal projection proving that its parameters can be
estimated, up to an arbitrary precision, via the solution of a
convex program. Subsequently, we propose an iterative scheme
via gradient methods to estimate the convex program. Lastly, we
characterize a Shannon lower bound (SLB) for the PR-RDPF
under a mean squared error (MSE) distortion constraint. We
support our theoretical findings with numerical examples by
assessing the estimation performance of our iterative scheme
using the PR-RDPF with the obtained SLB for various sources.},
organization = {European Research Council (ERC) European Union's Horizon 2020, 101003431},
publisher = {IEEE},
title = {Copula-based Estimation of Continuous Sources for a Class of Constrained Rate-Distortion-Functions},
doi = {10.1109/ISIT57864.2024.10619503},
author = {Serra, Giuseppe and Stavrou, Photios A. and Kountouris, Marios},
}