64 citations · 353 across the 28 of their papers we have counts for
31 papers
On the Estimation of the Time-Dependent Transmission Rate in Epidemiological Models
Jorge P. Zubelli, Jennifer Loria, Vinicius V. L. Albani
The COVID-19 pandemic highlighted the need to improve the modeling, estimation, and prediction of how infectious diseases spread. SEIR-like models have been particularly successful…
Recovering the Fragmentation Rate in the Growth-Fragmentation Equation
Alvaro Almeida Gomez, Jorge Zubelli
We consider the inverse problem of determining the fragmentation rate from noisy measurements in the growth-fragmentation equation. We use Fourier transform theory on locally compa…
Diffusion Representation for Asymmetric Kernels
Alvaro Almeida Gomez, Antonio Silva Neto, Jorge zubelli
We extend the diffusion-map formalism to data sets that are induced by asymmetric kernels. Analytical convergence results of the resulting expansion are proved, and an algorithm is…
Noncommutative Bispectral Algebras and their Presentations
Brian D. Vasquez, Jorge P. Zubelli
We prove a general result on presentations of finitely-generated algebras and apply it to obtain nice presentations for some noncommutative algebras arising in the matrix bispectra…
Matrix Bispectrality and Noncommutative Algebras: beyond the prolate spheroidals
F. Alberto Grünbaum, Brian D. Vasquez, Jorge P. Zubelli
The bispectral problem is motivated by an effort to understand and extend a remarkable phenomenon in Fourier analysis on the real line: the operator of time-and-band limiting is an…
Matrix Bispectrality of Full Rank One Algebras
Brian D. Vasquez, Jorge P. Zubelli
We study algebraic properties of full rank 1 algebras in a general framework and derive a method to verify if one such matrix polynomial sub-algebra is bispectral. We give two exam…