Non-Euclidean Geodesic Trajectories and Symplectic Integrators in...

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2026-09-20 02:51:49 -

Non-Euclidean Geodesic Trajectories and Symplectic Integrators in Deep Diffusion Transformers

1. Beyond Flat Euclidean Assumptions in Generative Architectures Modern generative vision has reached an inflection point where conventional Euclidean vector space representations no longer suffice for high-fidelity multi-modal rendering. Early diffusion paradigms treated latent noise vectors as isotropic Cartesian coordinates. However, empirical curvature analysis reveals that deep...

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