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- Luis David García-Puente, Michael Stillman, Bernd Sturmfels
- J. Symb. Comput.
- 2005

We study the algebraic varieties defined by the conditional independence statements of Bayesian networks. A complete algebraic classification is given for Bayesian networks on at most five random… (More)

- Luis David García-Puente, Frank Sottile, Chungang Zhu
- ACM Trans. Graph.
- 2011

The control polygon of a rational Bézier curve is well-defined and has geometric significance; there is a sequence of weights under which the limiting position of the curve is the control polygon.… (More)

- Rebecca Garcia, Luis David García-Puente, +5 authors Anne Shiu
- IJAC
- 2018

The brain processes information about the environment via neural codes. The neural ideal was introduced recently as an algebraic object that can be used to better understand the combinatorial… (More)

- Luis David García-Puente, Nickolas Hein, +4 authors Zach Teitler
- Experimental Mathematics
- 2012

We formulate the Secant Conjecture, which is a generalization of the Shapiro Conjecture for Grassmannians. It asserts that an intersection of Schubert varieties in a Grassmannian is transverse with… (More)

- Scott Chapman, Rebecca Garcia, Luis David García-Puente, Martin E. Malandro, Ken W. Smith
- J. Comb. Theory, Ser. A
- 2013

- Benjamin Braun, Hugo Corrales, +6 authors Carlos E. Valencia
- Discrete Mathematics
- 2018

Let G be a finite, connected graph. An arithmetical structure on G is a pair of positive integer vectors d, r such that (diag(d) − A)r = 0, where A is the adjacency matrix of G. We investigate the… (More)

- Luis David García-Puente, Abdul Salam Jarrah, Reinhard C. Laubenbacher
- Applied Mathematics and Computation
- 2006

This paper is motivated by the theory of sequential dynamical systems (SDS), developed as a basis for a mathematical theory of computer simulation. A sequential dynamical system is a collection of… (More)

- Elena S. Dimitrova, Luis David García-Puente, +5 authors Paola Vera-Licona
- Theor. Comput. Sci.
- 2011

Boolean networks have long been used as models of molecular networks and play an increasingly important role in systems biology. This paper describes a software package, Polynome, offered as a web… (More)

- Luis David García-Puente, Frank Sottile
- Adv. Comput. Math.
- 2010

We give a precise mathematical formulation for the notions of a parametric patch and linear precision, and establish their elementary properties. We relate linear precision to the geometry of a… (More)

A major area in neuroscience research is the study of how the brain processes spatial information. Neurons in the brain represent external stimuli via neural codes. These codes often arise from… (More)