Casanellas Rius, Marta; Fernández Sánchez, Jesús; Roca Lacostena, Jordi (2020-03-01)
Open AccessDeciding whether a substitution matrix is embeddable (i.e. the corresponding Markov process has a continuous-time realization) is an open problem even for 4×4 matrices. We study the embedding problem and rate identifiability ...
Roca Lacostena, Jordi; Fernández Sánchez, Jesús (2018-05-14)
Open AccessIn 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 matrices relative to the volume of all Markov ...
Roca Lacostena, Jordi (Universitat Politècnica de Catalunya, 2015-10)
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Roca Lacostena, Jordi; Cerquides, Jesús; Pouly, Marc (2019-11-01)
Open AccessValuation algebras abstract a large number of formalisms for automated reasoning and enable the definition of generic inference procedures. Many of these formalisms provide some notion of solution. Typical examples are ...
Roca Lacostena, Jordi (Universitat Politècnica de Catalunya, 2021-05-18)
Open AccessThe goal of this thesis is to solve the embedding problem for Markov matrices, posed by Gustav Elfving in1937. A Markov matrix is non-negative square matrix whose rows sum to 1. We say that such a matrix M is embeddable ...