Eduardo Pavéz

Spectral Folding And Two-Channel Filter-Banks On Arbitrary Graphs

2021

In the past decade, several multi-resolution representation theories for graph signals have been proposed. Bipartite filter-banks stand out as the most natural extension of time domain filter-banks, in part because perfect reconstruction, orthogonality and bi-orthogonality …

Characterizing Probabilistic Structure in Learning Using Information Sufficiency

2024

We use the concept of information sufficiency (IS) to represent probabilistic structures in machine learning (ML). Our main result provides a functional expression that charac-terizes the class of probabilistic models consistent with an IS encoder-decoder …