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Published at October 31

Bridging Geometric States via Geometric Diffusion Bridge

cs.LG

cs.AI

q-bio.QM

stat.ML

Released Date: October 31, 2024

Authors: Shengjie Luo¹, Yixian Xu¹, Di He¹, Shuxin Zheng², Tie-Yan Liu², Liwei Wang¹

Aff.: ¹National Key Laboratory of General Artificial Intelligence, School of Intelligence Science and Technology, Peking University; ²Microsoft Research AI4Science

Arxiv: http://arxiv.org/abs/2410.24220v1

Methods	Symmetry Constraints	Coupling Preservation	Trajectory guidance
Direct Prediction [104, 31, 87, 89, 8]	✓	✓	✗
MLFFs [90, 33, 6, 34, 58]	✓	✗	✓
Geometric Diffusion Model [115, 38, 114]	✓	✗	✗
Geometric Diffusion Bridge (ours)	✓	✓	✓