1 citations · 1 across the 6 of their papers we have counts for
6 papers
K-Means as a Radial Basis function Network: a Variational and Gradient-based Equivalence
Felipe de Jesus Felix Arredondo, Alejandro Ucan-Puc, Carlos Astengo Noguez
This work establishes a rigorous variational and gradient-based equivalence between the classical K-Means algorithm and differentiable Radial Basis Function (RBF) neural networks w…
Comparison of Limit Sets for the Action of Kleinian Groups in
Alejandro Ucan-Puc, Jose Seade
We compare different notions of limit sets for the action of Kleinian groups on the dimensional projective space via the irreducible representation $\varrho:PSL(2,\mathbb{C})\t…
Representations of Deligne-Mostow lattices into PGL(3, C)
E Falbel, I Pasquinelli, A Ucan-Puc
We classify representations of a class of Deligne-Mostow lattices into PGL(3;C). In particular, we show local rigidity for the representations (of Deligne-Mostow lattices with 3-fo…
The Exact Computation of A Real Hyperbolic Structure on the Complement of the Borromean Rings
Alejandro Ucan-Puc
In this paper we present a classical construction of the Hyperbolic structure of the complement of a link in the sense of Thurston for the particular case of the Borromean rings li…
On McMullen's algorithm for the Hausdorff dimension of Complex Schottky Groups
Alejandro Ucan-Puc, Sergio Romaña
We provide a generalization of the McMullen's algorithm to approximate the Hausdorff dimension of the limit set for convex-cocompact subgroups of isometries of the Complex Hyperbol…
On classical uniformization theorems for higher dimensional complex Kleinian groups
Angel Cano, Luis Loeza, Alejandro Ucan-Puc
In this article we show that Bers' simultaneous uniformization as well as the Köebe's retrosection theorem are not longer true for discrete groups of projective transformations act…