Next Article in Journal
A Novel Air Quality Monitoring Unit Using Cloudino and FIWARE Technologies
Next Article in Special Issue
A Mathematical Model for Intimate Partner Violence
Previous Article in Journal / Special Issue
Evolution of an Exponential Polynomial Family of Discrete Dynamical Systems
Open AccessArticle

A Hidden Markov Model for the Linguistic Analysis of the Voynich Manuscript

Instituto Universitario de Matemática Multidisciplinar, Building 8G, 2o Floor, Camino de Vera, Universitat Politècnica de València, 46022 Valencia, Spain
Math. Comput. Appl. 2019, 24(1), 14; https://doi.org/10.3390/mca24010014
Received: 23 November 2018 / Revised: 14 January 2019 / Accepted: 19 January 2019 / Published: 23 January 2019
(This article belongs to the Special Issue Mathematical Modelling in Engineering & Human Behaviour 2018)
Hidden Markov models are a very useful tool in the modeling of time series and any sequence of data. In particular, they have been successfully applied to the field of mathematical linguistics. In this paper, we apply a hidden Markov model to analyze the underlying structure of an ancient and complex manuscript, known as the Voynich manuscript, which remains undeciphered. By assuming a certain number of internal states representations for the symbols of the manuscripts, we train the network by means of the α and β -pass algorithms to optimize the model. By this procedure, we are able to obtain the so-called transition and observation matrices to compare with known languages concerning the frequency of consonant andvowel sounds. From this analysis, we conclude that transitions occur between the two states with similar frequencies to other languages. Moreover, the identification of the vowel and consonant sounds matches some previous tentative bottom-up approaches to decode the manuscript.
View Full-Text
Keywords: Hidden Markov models; mathematical linguistics; Voynich Manuscript Hidden Markov models; mathematical linguistics; Voynich Manuscript
Show Figures

Graphical abstract

MDPI and ACS Style

Acedo, L. A Hidden Markov Model for the Linguistic Analysis of the Voynich Manuscript. Math. Comput. Appl. 2019, 24, 14.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map

1
Back to TopTop