Principal Component Analysis as a Sanity Check for Bayesian Phylolinguistic Reconstruction

• URL: http://arxiv.org/abs/2402.18877v1
• Date: Thu, 29 Feb 2024 05:47:34 GMT
• Title: Principal Component Analysis as a Sanity Check for Bayesian Phylolinguistic Reconstruction
• Authors: Yugo Murawaki
• Abstract summary: Tree model assumes that languages descended from a common ancestor and underwent modifications over time. This assumption can be violated to different extents due to contact and other factors. We propose a simple sanity check: projecting a reconstructed tree onto a space generated by principal component analysis.
• Score: 3.652806821280741
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: Bayesian approaches to reconstructing the evolutionary history of languages rely on the tree model, which assumes that these languages descended from a common ancestor and underwent modifications over time. However, this assumption can be violated to different extents due to contact and other factors. Understanding the degree to which this assumption is violated is crucial for validating the accuracy of phylolinguistic inference. In this paper, we propose a simple sanity check: projecting a reconstructed tree onto a space generated by principal component analysis. By using both synthetic and real data, we demonstrate that our method effectively visualizes anomalies, particularly in the form of jogging.

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