1 citations · 1 across the 2 of their papers we have counts for
6 papers
Embeddability of centrosymmetric matrices capturing the double-helix structure in natural and synthetic DNA
Muhammad Ardiyansyah, Dimitra Kosta, Jordi Roca-Lacostena
In this paper, we discuss the embedding problem for centrosymmetric matrices, which are higher order generalizations of the matrices occurring in Strand Symmetric Models. These mod…
An open set of embeddable matrices whose principal logarithm is not a Markov generator
Marta Casanellas, Jesús Fernández-Sánchez, Jordi Roca-Lacostena
A Markov matrix is embeddable if it can represent a homogeneous continuous-time Markov process. It is well known that if a Markov matrix has real and pairwise-different eigenvalues…
The embedding problem for Markov matrices
Marta Casanellas, Jesús Fernández-Sánchez, Jordi Roca-Lacostena
Characterizing whether a Markov process of discrete random variables has an homogeneous continuous-time realization is a hard problem. In practice, this problem reduces to deciding…
Embeddability and rate identifiability of Kimura 2-parameter matrices
Marta Casanellas, Jesús Fernández-Sánchez, Jordi Roca-Lacostena
Deciding whether a Markov matrix is embeddable (i.e. can be written as the exponential of a rate matrix) is an open problem even for matrices. We study the embedding pr…
Embeddability of Kimura 3ST Markov matrices
Jordi Roca-Lacostena, Jesús Fernández-Sánchez
In this note, we characterize the embeddability of generic Kimura 3ST Markov matrices in terms of their eigenvalues. As a consequence, we are able to compute the volume of such mat…
Sufficient and necessary conditions for Dynamic Programming in Valuation-Based Systems
Jordi Roca-Lacostena, Jesus Cerquides, Marc Pouly
Valuation algebras abstract a large number of formalisms for automated reasoning and enable the definition of generic inference procedures. Many of these formalisms provide some no…