Effective theory building and manifold learning.

Manifold learning and effective model building are generally viewed as fundamentally different types of procedure. After all, in one we build a simplified model of the data, in the other, we construct a simplified model of the another model. Nonetheless, I argue that certain kinds of high-dimensiona...

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Publicado en:Synthese Vol. 205; no. 1; pp. 1 - 34
Autor principal: Freeborn, David Peter Wallis
Formato: Artículo
Publicado: Springer Nature Jan2025
Acceso en línea:Ver este registro en EBSCOhost
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        atl: Effective theory building and manifold learning.
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        au: Freeborn, David Peter Wallis
        affil: https://ror.org/03hdf3w38 Northeastern University, London Devon House, 58 St Katharine’s Way, E1W 1LP, London, UK
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        Computational Modeling
        Effective Theories
        Machine Learning
        Manifold Learning
        Renormalization Group
        Scientific Models
        Computergestützte Modellierung
        Effektive Theorien
        Maschinelles Lernen
        Renormierungsgruppe
        Wissenschaftliche Modelle
        Aprendizaje automático
        Aprendizaje de variedades
        Grupo de renormalización
        Modelado computacional
        Modelos científicos
        Teorías efectivas
        Apprentissage automatique
        Apprentissage de variétés
        Groupe de renormalisation
        Modèles scientifiques
        Modélisation computationnelle
        Théories effectives
      ab: Manifold learning and effective model building are generally viewed as fundamentally different types of procedure. After all, in one we build a simplified model of the data, in the other, we construct a simplified model of the another model. Nonetheless, I argue that certain kinds of high-dimensional effective model building, and effective field theory construction in quantum field theory, can be viewed as special cases of manifold learning. I argue that this helps to shed light on all of these techniques. First, it suggests that the effective model building procedure depends upon a certain kind of algorithmic compressibility requirement. All three approaches assume that real-world systems exhibit certain redundancies, due to regularities. The use of these regularities to build simplified models is essential for scientific progress in many different domains.
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