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Numerical Calabi-Yau metrics from holomorphic networks

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arxiv 2012.04797 v2 pith:QWDAJGPS submitted 2020-12-09 hep-th math.CVphysics.comp-ph

Numerical Calabi-Yau metrics from holomorphic networks

classification hep-th math.CVphysics.comp-ph
keywords calabi-yaumethodsmetricsnumericalthemaccurateahlerchoice
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose machine learning inspired methods for computing numerical Calabi-Yau (Ricci flat K\"ahler) metrics, and implement them using Tensorflow/Keras. We compare them with previous work, and find that they are far more accurate for manifolds with little or no symmetry. We also discuss issues such as overparameterization and choice of optimization methods.

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