SEINT: Efficient Rigid-Body Invariant Metric

💡Training-free linear-time SE(3) metric for 3D data – revolutionizes point cloud distances (ICLR 2026)
⚡ 30-Second TL;DR
What Changed
Training-free 1D representations PTD/DcPTD for SE(p)-invariant mapping
Why It Matters
Enables scalable, theoretically robust distance metrics for 3D/ML tasks, outperforming alignment-heavy methods in speed and guarantees.
What To Do Next
Clone https://github.com/junyilin559/SEINT and benchmark SEINT on ModelNet40 point clouds.
Key Points
- •Training-free 1D representations PTD/DcPTD for SE(p)-invariant mapping
- •SEINT distance via 1D OT, proven metric on norm spaces
- •Near-linear O(N log N) complexity for common norms
- •Applies to 3D point clouds, molecular configs without alignment
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