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Paper · arXiv

HamiFormer: Dual-Expert Diffusion Fields with Affine Symplectic Maps

Predicting smooth dynamics and collisions requires modeling continuous evolution and abrupt state changes. We introduce HamiFormer, a dual-expert diffusion field combining whole-window denoising with residual-corrected Hamiltonian propagation. Their mixed-state feedback attenuates the direct contribution of inherited autoregressive error: each mixed state guides subsequent propagation within the jointly refined window. Parallel Local Affine Scan (PLAS) amortizes iterative refinement across rectified-flow steps and evaluates derivatives in parallel across physical time. PLAS's affine symplectic maps achieve lower solver error and runtime than sequential explicit Euler in our evaluation. A ...

AuthorsHaoxiang Huang, Xiang Liu, Shuwei Wang et al.
Primary categorycs.LG
Published26 September 2026
Last updated at source26 September 2026
cs.LG
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