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Change in the Embedding Dimension as an Indicator of an Approaching Transition
Author(s) -
Yair Neuman,
Norbert Marwan,
Yohai Cohen
Publication year - 2014
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0101014
Subject(s) - embedding , dimension (graph theory) , transition (genetics) , transitive relation , polarity (international relations) , point (geometry) , computer science , series (stratigraphy) , transition point , theoretical computer science , mathematics , artificial intelligence , physics , combinatorics , biology , geometry , genetics , paleontology , cell , mechanics , gene
Predicting a transition point in behavioral data should take into account the complexity of the signal being influenced by contextual factors. In this paper, we propose to analyze changes in the embedding dimension as contextual information indicating a proceeding transitive point, called OPtimal Embedding tRANsition Detection (OPERAND). Three texts were processed and translated to time-series of emotional polarity. It was found that changes in the embedding dimension proceeded transition points in the data. These preliminary results encourage further research into changes in the embedding dimension as generic markers of an approaching transition point.

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