3 papers
cs.LG2024
-VAE: Curvature regularized variational autoencoders for uncovering emergent low dimensional geometric structure in high dimensional data
Jason Z. Kim, Nicolas Perrin-Gilbert, Erkan Narmanli +5
Natural systems with emergent behaviors often organize along low-dimensional subsets of high-dimensional spaces. For example, despite the tens of thousands of genes in the human ge…
math.CO2022
Enumeration of corner polyhedra and 3-connected Schnyder labelings
Éric Fusy, Erkan Narmanli, Gilles Schaeffer
We show that corner polyhedra and 3-connected Schnyder labelings join the growing list of planar structures that can be set in exact correspondence with (weighted) models of quadra…
math.CO2021
On the enumeration of plane bipolar posets and transversal structures
Éric Fusy, Erkan Narmanli, Gilles Schaeffer
We show that plane bipolar posets (i.e., plane bipolar orientations with no transitive edge) and transversal structures can be set in correspondence to certain (weighted) models of…