#informationgeometry — Public Fediverse posts

🤖🎩 Behold, the grandiose 'Principia Artificialis' where #AI #overlords supposedly hone their dark arts with fancy maths jargon like 'information geometry' and 'topology'—because plain English is for mere mortals. Meanwhile, #GitHub parades its automated code monkey, #Copilot, as humanity's savior, ensuring our inevitable dominion by lines of code. 🦾💻
https://github.com/holland202/Principia-Artificialis #InformationGeometry #Topology #CodeAutomation #HackerNews #ngated

🤖🎩 Behold, the grandiose 'Principia Artificialis' where #AI #overlords supposedly hone their dark arts with fancy maths jargon like 'information geometry' and 'topology'—because plain English is for mere mortals. Meanwhile, #GitHub parades its automated code monkey, #Copilot, as humanity's savior, ensuring our inevitable dominion by lines of code. 🦾💻
https://github.com/holland202/Principia-Artificialis #InformationGeometry #Topology #CodeAutomation #HackerNews #ngated

🤖🎩 Behold, the grandiose 'Principia Artificialis' where #AI #overlords supposedly hone their dark arts with fancy maths jargon like 'information geometry' and 'topology'—because plain English is for mere mortals. Meanwhile, #GitHub parades its automated code monkey, #Copilot, as humanity's savior, ensuring our inevitable dominion by lines of code. 🦾💻
https://github.com/holland202/Principia-Artificialis #InformationGeometry #Topology #CodeAutomation #HackerNews #ngated

🤖🎩 Behold, the grandiose 'Principia Artificialis' where #AI #overlords supposedly hone their dark arts with fancy maths jargon like 'information geometry' and 'topology'—because plain English is for mere mortals. Meanwhile, #GitHub parades its automated code monkey, #Copilot, as humanity's savior, ensuring our inevitable dominion by lines of code. 🦾💻
https://github.com/holland202/Principia-Artificialis #InformationGeometry #Topology #CodeAutomation #HackerNews #ngated

🤖🎩 Behold, the grandiose 'Principia Artificialis' where #AI #overlords supposedly hone their dark arts with fancy maths jargon like 'information geometry' and 'topology'—because plain English is for mere mortals. Meanwhile, #GitHub parades its automated code monkey, #Copilot, as humanity's savior, ensuring our inevitable dominion by lines of code. 🦾💻
https://github.com/holland202/Principia-Artificialis #InformationGeometry #Topology #CodeAutomation #HackerNews #ngated

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