Point clouds of 3D objects exhibit an inherent compositional nature where simple parts can be assembled into progressively more complex shapes to form whole objects. Explicitly capturing such part-whole hierarchy is a long-sought objective in order to build effective models, but its tree-like nature has made the task elusive. In this paper, we propose to embed the features of a point cloud classifier into the hyperbolic space and explicitly regularize the space to account for the part-whole hierarchy. The hyperbolic space is the only space that can successfully embed the tree-like nature of the hierarchy. This leads to substantial improvements in the performance of state-of-art supervised models for point cloud classification.

Rethinking the compositionality of point clouds through regularization in the hyperbolic space / Montanaro, A.; Valsesia, D.; Magli, E.. - ELETTRONICO. - 35:(2022). (Intervento presentato al convegno 36th Conference on Neural Information Processing Systems, NeurIPS 2022 tenutosi a New Orleans, USA nel November 28th through December 9th, 2022).

Rethinking the compositionality of point clouds through regularization in the hyperbolic space

Montanaro A.;Valsesia D.;Magli E.
2022

Abstract

Point clouds of 3D objects exhibit an inherent compositional nature where simple parts can be assembled into progressively more complex shapes to form whole objects. Explicitly capturing such part-whole hierarchy is a long-sought objective in order to build effective models, but its tree-like nature has made the task elusive. In this paper, we propose to embed the features of a point cloud classifier into the hyperbolic space and explicitly regularize the space to account for the part-whole hierarchy. The hyperbolic space is the only space that can successfully embed the tree-like nature of the hierarchy. This leads to substantial improvements in the performance of state-of-art supervised models for point cloud classification.
2022
9781713871088
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2981372