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Möbius Convolutions for Spherical CNNs

SessionRoundtable Session: Convolutions and Neural Fields

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Technical Paper

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TimeWednesday, 10 August 20229am - 9:05am PDT

LocationEast Building, Room 1-3

DescriptionWe present a novel, Möbius-equivariant spherical convolution operator which we call Möbius convolution and, with it, develop the foundations for Möbius-equivariant spherical CNNs. The resulting framework is both flexible and descriptive, and we demonstrate its utility by achieving promising results in both geometry and image-processing tasks.