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Machine Learning and the Philosophical Problems of Induction

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Guide to Deep Learning Basics

Abstract

This chapter provides an analysis of the relationship of the traditional problems of justifying inductive inferences to the field of machine learning. After the summary of the philosophical problems of induction, text focus on the two philosophical problems relevant to the supervised and unsupervised machine learning. The former is a famous new riddle of induction devised by N. Goodman. The author argues that remarkable results in the theory of machine learning, no-free-lunch theorems are a formalisation of this traditional philosophical problem. Consequently, lengthy philosophical discussions on this problem are relevant to these results and vice versa. The later problem is the problem of similarity, as identified by N. Goodman and W. V. Quine. It is claimed that those discussions can help practitioners of unsupervised learning to be aware of its limitations.

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Notes

  1. 1.

    This part of the text is an extended version of the author’s text “How Gruesome are the No-free-lunch Theorems for Machine Learning?” [16].

  2. 2.

    We suppose that the new riddle is a different issue from the classical problem of induction, what is the received position with a few notable exception.

  3. 3.

    Rodriguez-Pereyra claims there are strong philosophical grounds that Leibniz thought that the similarity of substances does not derive from the similarity of their properties (accidents) [24].

  4. 4.

    Although there are readings of Hume that suggest that Hume’s position on similarity is closer to Goodman’s view [7].

References

  1. Blackburn S (1984) Spreading the word. Oxford University Press

    Google Scholar 

  2. Bacon F, Thomas F (1889) Novum organum. Clarendon Press, Oxford

    Google Scholar 

  3. Cha S-H (2007) Comprehensive survey on distance/similarity measures between probability density functions. City 1(2):1

    Google Scholar 

  4. Domingos P (2012) A few useful things to know about machine learning. Commun ACM 55(10):78–87

    Article  Google Scholar 

  5. Domingos P (2015) The master algorithm: how the quest for the ultimate learning machine will remake our world. Hachette, UK

    Google Scholar 

  6. Dretske F, Carnap R, Bar-Hillel Y (1953) Semantic theories of information. Philos Sci 4(14):147–157

    Google Scholar 

  7. Gamboa S (2007) Hume on resemblance, relevance, and representation. Hume Stud 33/1:21–40

    Google Scholar 

  8. Giraud-Carrier C, Provost F (2005) Toward a justification of meta-learning: is the no free lunch theorem a show-stopper. In: Proceedings of the ICML-2005 workshop on meta-learning

    Google Scholar 

  9. Goodman N (1946) A query on confirmation. J Philos 43(14):383–385

    Article  Google Scholar 

  10. Goodman N (1971) Problems and projects. Bobbs-Merrill

    Google Scholar 

  11. Goodman N (1983) Fact, fiction, and forecast. Harvard University Press

    Google Scholar 

  12. Hume D (1748) An inquiry concerning human understanding. Clarendon Press

    Google Scholar 

  13. Igel C, Toussaint M (2005) A no-free-lunch theorem for non-uniform distributions of target functions. J Math Model Algorithms 3(4):313–322

    Article  MathSciNet  Google Scholar 

  14. Joyce T, Herrmann JM (2018) A review of no free lunch theorems, and their implications for metaheuristic optimisation. Stud Comput Intell 744:27–51

    Google Scholar 

  15. Kubat M (2017) Introduction to machine learning. Springer International Publishing

    Google Scholar 

  16. Lauc D (2018) How gruesome are the no-free-lunch theorems for machine learning? Croat J Philos 18(54):479–489

    Google Scholar 

  17. Lauc D (2019) Reasoning about inexact dates using dense vector representation. Compusoft 8:3031–3035

    Google Scholar 

  18. Leibniz GW, Ritter P (1950) Sämtliche schriften und briefe. Akademie-Verlag

    Google Scholar 

  19. Nielsen F (2010) A family of statistical symmetric divergences based on Jensen’s inequality. arXiv:1009.4004

  20. Orenstein A, Kotatko P (2012) Knowledge, language and logic: questions for Quine. Springer Science & Business Media

    Google Scholar 

  21. Pakaluk M (1989) Quine’s 1946 lecture on Hume. J Hist Philos 445–459

    Article  Google Scholar 

  22. Popper K (2002) Conjectures and refutations: the growth of scientific knowledge. Routledge

    Google Scholar 

  23. Quine WVO (1970) Natural kinds. D. Reidel

    Google Scholar 

  24. Rodriguez-Pereyra G (2014) Leibniz’s principle of identity of indiscernibles. OUP

    Google Scholar 

  25. Schaffer C (1994) A conservation law for generalization performance. Mach Learn Proc 1994:259–265

    Google Scholar 

  26. Tversky A (1977) Features of similarity. Psychol Rev 84:327–354

    Article  Google Scholar 

  27. Valiant L (2013) Probably approximately correct: nature’s algorithms for learning and prospering in a complex world. Hachette

    Google Scholar 

  28. Wolpert D (1992) Stacked generalization. Neural Netw 5:241–259

    Article  Google Scholar 

  29. Wolpert D (1996) The lack of a priori distinctions between learning algorithms. Neural Comput 1341–1390

    Article  Google Scholar 

  30. Wolpert D (2013) Ubiquity symposium: evolutionary computation and the processes of life: what the no free lunch theorems really mean: how to improve search algorithms. Ubiquity 2

    Google Scholar 

  31. Wolpert D, Macready WG (1995) No free lunch theorems for search. Technical report SFI-TR-95-02-010, Santa Fe Institute

    Google Scholar 

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Lauc, D. (2020). Machine Learning and the Philosophical Problems of Induction. In: Skansi, S. (eds) Guide to Deep Learning Basics. Springer, Cham. https://doi.org/10.1007/978-3-030-37591-1_9

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  • DOI: https://doi.org/10.1007/978-3-030-37591-1_9

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