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Home/Authors/Erika Fille T. Legara

Erika Fille T. Legara

1 indexed paper

Recent (6 mo)
1
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Publications per year

1
26

Top categories

ML×1AI×1Dynamical Systems×1Representation Theory×1physics.comp-ph×1

Frequent co-authors

Jose Marie Antonio Miñoza1×
Christopher P. Monterola1×

Research Timeline

2026
The Hamilton-Jacobi Theory of Deep Learning

This paper establishes an exact mathematical correspondence between training and inference in deep learning and the solution of Hamilton-Jacobi partial differential equations, unifying multiple theoretical perspectives.

Highlighted terms show continued research focus across papers

Papers

cs.LGcs.AImath.DSRecentMay 27, 2026

The Hamilton-Jacobi Theory of Deep Learning

Jose Marie Antonio Miñoza, Erika Fille T. Legara, Christopher P. Monterola

This paper establishes an exact mathematical correspondence between training and inference in deep learning and the solution of Hamilton-Jacobi partial differential equations, unifying multiple theore…

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