Kähler Geometry of Framed Quiver Moduli and Machine Learning

Jeffreys, George; Lau, Siu-Cheong

doi:10.1007/s10208-022-09587-3

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By a Corresponding Zigzag Of The Form1

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2022

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Cited by 2 publications

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“…8. Quiver representations appear in the context of neural network architectures in [2,30], though these are not usual quiver representations due to the presence of nonlinear activation functions.…”

Section: By a Corresponding Zigzag Of The Formmentioning

confidence: 99%

Principal Components Along Quiver Representations

2022

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Quiver representations arise naturally in many areas across mathematics. Here we describe an algorithm for calculating the vector space of sections, or compatible assignments of vectors to vertices, of any finite-dimensional representation of a finite quiver. Consequently, we are able to define and compute principal components with respect to quiver representations. These principal components are solutions to constrained optimisation problems defined over the space of sections and are eigenvectors of an associated matrix pencil.

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Section: By a Corresponding Zigzag Of The Formmentioning

confidence: 99%