Simplicial Complexes as Latent Variables
This talk was directed to the undergraduate students at ITAM. Here I discuss how simplicial complexes (wich are a concept from Algebraic Topology) can be used to define latent variables. This idea is exploited in different contexts to formulate Bayesian models. https://youtu.be/srrFo4sxkeE?si=FlH0vO5Wes8Wv5xy
Latent Space Modeling of Hypergraph Data
In this talk, I discuss how to use tools from Computational Topology to extend the model proposed by Hoff and Raftery to accomodate hypergraph data. https://www.youtube.com/live/ZMU3N9cZEWI?si=6hlLRj5oGCAx67VA
Geometric Representations of Random Hypergraphs
In this project we applied techniques from Random Geometric Graphs theory and Computational Topology to Graphical Models. We worked...