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Edward Hirst

2 papers indexed

arxivstat.MLcs.LGmath.COmath.GR2026-07-13

Learning the Graphical Nature of Symmetries

Rashid Barket, Enrico Grimaldi, Yacoub Hendi, Edward Hirst, Adam Onus, Harmeet Singh

Finite groups are rigid algebraic objects, whose Cayley graphs expose a rich network geometry through which group-theoretic structure can be measured, compared, and learned. In this paper, a dataset of $131{,}406$ Cayley graphs is constructed, covering all groups of order at most…

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arxivgr-qccs.LGhep-th2026-07-06

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks

Tancredi Schettini Gherardini, Edward Hirst, Alexander George Stapleton

The AInstein architecture introduced an unsupervised neural method for solving the Riemannian Einstein equations on arbitrary manifolds. This Physics Informed Neural Network approach (PINN) is extended here to Lorentzian signature, validated by recovering the maximally extended S…

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