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Roto-translatedLocalCoordinateFrames ForInteractingDynamicalSystems

Neural Information Processing Systems

First,weintroduce canonicalized roto-translated local coordinate frames for interacting dynamical systems formalized in geometric graphs. Second, by operating solely on these coordinate frames, we enable roto-translation invariant edge prediction and roto-translation equivariant trajectory forecasting. Third, we present anovelmethodology for natural anisotropic continuous filters based onrelativelinear and angular positions ofneighboring objects in the canonicalized local coordinate frames.