#informationgeometry — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #informationgeometry, aggregated by home.social.
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Representation learning often emphasizes metric preservation. We instead build Symplectic structural invariance directly into the representation.
https://arxiv.org/abs/2512.19409
We embed Hamiltonian/symplectic geometry by making the RNN state dynamics a symplectomorphism, which preserves Legendre duality (information geometry) through time. This yields structure-preserving representations enforced by the latent dynamics, rather than imposed indirectly via the output.
#ReservoirComputing #RepresentationLearning #InformationGeometry #SymplecticGeometry #HamiltonianDynamics #GeometricDeepLearning #DynamicalSystems #PhysicsInformedML