Abstract
Trees are a useful framework for classifying entities whose attributes are, at least partially, related through a common ancestry, such as species of organisms, family members or languages. In some common applications, such as phylogenetic trees based on DNA sequences, relatedness can be inferred from the statistical analysis of unweighted attributes. The vast majority of mutations that survive across generations are evolutionarily neutral, which means that most genetic differences between species will have accumulated independently and randomly. In these cases, it is possible to calculate the tree from a precomputed matrix of distances. In other cases, such as with anatomical traits or languages, the assumption of random and independent differences does not hold, making it necessary to consider some traits to be more relevant than others for determining how related two entities are. In this paper, we present a constraint programming approach that can enforce consistency between bounds on the relative weight of each trait and tree topologies, so that the user can best determine which sets of traits to use and how the entities are likely to be related.







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Blockeel H, De Raedt L, Ramon J (1998) Top-down induction of clustering trees. In: Shavlik JW (ed) ICML’98. Proceedings of the fifteenth international conference on machine learning. Morgan Kaufmann Publishers, San Francisco, pp 55–63
Campbell L (2006a) Areal linguistics: a closer scrutiny. In: Matras Y, McMahon A, Vincent N (eds) Linguistic areas: convergence in historical and typological perspective. Palgrave Macmillan, Basingstoke, pp 1–31
Campbell L (2006) Areal linguistics. In: Brown K (ed) Encyclopedia of language and linguistics. Elsevier, Oxford, pp 454–460
Cavalli-Sforza LL (2000) Genes, peoples and languages. North Point Press, New York
Cavalli-Sforza LL, Feldman M (1981) Cultural transmission and evolution. Princeton University Press, Princenton
Dahl V, Miralles JE (2012) Womb grammars: constraint solving for grammar induction. In: Sneyers J, Frühwirth T (eds) CHR’12. Proceedings of the 9th workshop on constraint handling rules. Technical Report CW 624. Department of Computer Science, K.U. Leuven, pp 32–40
Farris JS (1972) Estimating phylogenetic trees from distance matrices. Am Nat 106(951):645–668
Fitch W, Margoliash E (1967) Construction of phylogenetic trees. Science 155(3760):279–284
Hock HH (1986) Principles of historical linguistics. Mouton de Gruyter, Amsterdam
Holman EW, Brown CH, Wichmann S, Müller A, Velupillai V, Hammarström H, Jung H, Bakker D, Brown P, Belyaev O, Urban M, Mailhammer R, List J-M, Egorov D (2011) Automated dating of the world’s language families based on lexical similarity. Curr Anthropol 52(6):841–875
Kimura M (1968) Evolutionary rate at the molecular level. Nature 217(5129):624–626
Makarenkov V (2001) T-Rex: reconstructing and visualizing phylogenetic trees and reticulation networks. Bioinformatics 17:664–668
Quinlanm JR (1986) Induction of decision trees. Mach Learn 1(1):81–106
Saitou N, Nei M (1987) The neighbor-joining method: a new method for reconstructing phylogenetic trees. Mol Biol Evol 4(4):406–425
Schleicher A (1863) Die Darwinsche Theorie und die Sprachwissenschaft. Böhlau, Weimar
Schmidt J (1872) Die Verwantschaftsverhältnisse der Indogermanischen Sprachen. Böhlau, Weimar
Seiffert E et al (2009) Convergent evolution of anthropoid-like adaptations in Eocene Adapiform primates. Science 461:1118–1121
Song JJ (ed) (2011) The Oxford handbook of linguistics typology. Oxford University Press, Oxford
Acknowledgments
This paper has been supported by Project HP2008-0029 and by Portuguese national funds through FCT-Fundação para a Ciência e Tecnologia, under Project PTDC/EIA-CCO/115999/2009.
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Barahona, P., Bel-Enguix, G., Dahl, V. et al. Generation of classification trees from variable weighted features. Nat Comput 13, 169–177 (2014). https://doi.org/10.1007/s11047-013-9368-7
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DOI: https://doi.org/10.1007/s11047-013-9368-7