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Geometrical correlation indices using homological constructions on manifolds 

Solís Chacón, Maikol; Hernández Alvarado, Alberto José; Zúñiga Rojas, Ronald Alberto (2018)
Abstract The course of dimensionality is a common problem in statistics and data analysis. Variable sensitivity analysis methods are a well studied and established set of tools designed to overcome these sorts of problems. ...
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Variations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli Spaces of Holomorphic Triples 

Zúñiga Rojas, Ronald Alberto (2020)
There is an isomorphism between the moduli spaces of σ-stable holomorphic triples and some of the critical submanifolds of the moduli space of k-Higgs bundles of rank three, whose elements (E, ϕk ) correspond to variations ...
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Geometric goodness of fit measure to detect patterns in data point clouds 

Hernández Alvarado, Alberto José; Solís Chacón, Maikol; Zúñiga Rojas, Ronald Alberto (2019)
The curse of dimensionality is a commonly encountered problem in statistics and data analysis. Variable sensitivity analysis methods are a well studied and established set of tools designed to overcome these sorts of ...
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Clustering binary data by application of combinatorial optimization heuristics 

Trejos Zelaya, Javier; Amaya Briceño, Luis Eduardo; Jiménez Romero, Alejandra; Murillo Fernández, Alex; Piza Volio, Eduardo; Villalobos Arias, Mario Alberto (2019-08-09)
We study clustering methods for binary data, first defining aggregation criteria that measure the compactness of clusters. Five new and original methods are introduced, using neighborhoods and population behavior combinatorial ...
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Rotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problem 

Anaya Domínguez, Verónica; De Wijn, Zoa; Gómez Vargas, Bryan Andrés; Mora Herrera, David; Ruiz Baier, Ricardo (2020)
In this paper we introduce a new formulation for the stationary poroelasticity equations written using the rotation vector and the total fluid-solid pressure as additional unknowns, and we also write an extension to the ...
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Minimum depth of double cross product extensions 

Hernández Alvarado, Alberto José (2020)
In this paper we explore minimum odd and minimum even depth sub- algebra pairs in the context of double cross products of finite dimensional Hopf algebras. We start by defining factorization algebras and outline how subring ...
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Lyapunov exponents of probability distributions with non-compact support 

Sánchez Chavarría, Adriana Cristina; Viana, Marcelo (2020)
A recent result of Bocker–Viana asserts that the Lyapunov exponents of compactly supported probability distributions in GL(2, R) depend continuously on the distribution. We investigate the general, possibly concompact ...
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Algunas fórmulas útiles para productos torcidos 

Várilly Boyle, Joseph C.; De Faria Campos, Edison; Gracia Bondía, José M. (1986)
Investigamos dos modificaciones del producto cuántico o torcido de funciones sobre el espacio de fases, y proporcionamos una colección de fórmulas útiles en el cálculo con estos productos. La primera modificación es la ...

Drinking as an epidemic - a simple mathematical model with recovery and relapse 

Sánchez Peña, Fabio Ariel; Wang, Xiaohong; Castillo Chávez, Carlos; Gorman, Dennis M.; Gruenewald, Paul J. (2007)
This chapter discusses a simple mathematical model of drinking lapse. Problem drinking is modeled as an acquired state - the result of frequent or intense interactions among individuals in three drinking states within a ...
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Estimation of the yield curve for Costa Rica using combinatorial optimization metaheuristics applied to nonlinear regression 

Quirós Granados, Andrés; Trejos Zelaya, Javier (2020-09-20)
The term structure of interest rates or yield curve is a function relating the interest rate with its own term. Nonlinear regression models of Nelson-Siegel and Svensson were used to estimate the yield curve using a sample ...
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