Unsupervised Object Representation Learning using Translation and Rotation Group Equivariant VAE

Understand

In many imaging modalities, objects of interest can occur in a variety of locations and poses (i.e.

• are subject to translations and rotations in 2d or 3d), but the location and pose of an object does not change its semantics (i.e.
• the object's essence).
• That is, the specific location and rotation of an airplane in satellite imagery, or the 3d rotation of a chair in a natural image, or the rotation of a particle in a cryo-electron micrograph, do not change the intrinsic nature of those objects.