Symplectic Reservoir Representation of Legendre Dynamics Modern learning systems act on internal representations of data, yet how these representations encode underlying physical or statistical structure is often left implicit. In physics, conservation laws...

Beyond metric preservation: build symplectic structural invariance into representation.

arxiv.org/abs/2512.19409

#ReservoirComputing #RepresentationLearning #InformationGeometry #SymplecticGeometry #HamiltonianDynamics #GeometricDeepLearning #DynamicalSystems #PhysicsInformedML

A nearly 20 year-old conjecture ins symplectic geometry by Penn State math professor Augustin Banyaga has been proven.
#mathematics #math #SymplecticGeometry #conjecture
Source:https://buff.ly/wNW9qAo