Beyond metric preservation: build symplectic structural invariance into representation.
arxiv.org/abs/2512.19409
#ReservoirComputing #RepresentationLearning #InformationGeometry #SymplecticGeometry #HamiltonianDynamics #GeometricDeepLearning #DynamicalSystems #PhysicsInformedML
arxiv.org/abs/2512.19409
#ReservoirComputing #RepresentationLearning #InformationGeometry #SymplecticGeometry #HamiltonianDynamics #GeometricDeepLearning #DynamicalSystems #PhysicsInformedML
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...
arxiv.org
December 23, 2025 at 8:54 AM
Beyond metric preservation: build symplectic structural invariance into representation.
arxiv.org/abs/2512.19409
#ReservoirComputing #RepresentationLearning #InformationGeometry #SymplecticGeometry #HamiltonianDynamics #GeometricDeepLearning #DynamicalSystems #PhysicsInformedML
arxiv.org/abs/2512.19409
#ReservoirComputing #RepresentationLearning #InformationGeometry #SymplecticGeometry #HamiltonianDynamics #GeometricDeepLearning #DynamicalSystems #PhysicsInformedML
A Poincaré--Birkhoff theorem for $C^0$-Hamiltonian maps
Agustin Moreno, Arthur Limoge
Paper
Details
#PoincareBirkhoffTheorem #HamiltonianDynamics #MathResearch
Agustin Moreno, Arthur Limoge
Paper
Details
#PoincareBirkhoffTheorem #HamiltonianDynamics #MathResearch
June 27, 2025 at 9:03 AM
A Poincaré--Birkhoff theorem for $C^0$-Hamiltonian maps
Agustin Moreno, Arthur Limoge
Paper
Details
#PoincareBirkhoffTheorem #HamiltonianDynamics #MathResearch
Agustin Moreno, Arthur Limoge
Paper
Details
#PoincareBirkhoffTheorem #HamiltonianDynamics #MathResearch