If we think of BIDEN BALLOT INJECTION DURING ELECTION NIGHT TEE SHIRT, it can model internal hierarchical representation of data, by combining several matrices to model the relationship of certain parts of a face and also the relationship. Hinton argues, that when we do image recognition with our brain we do perform some kind of inverse graphics solutions; from visual information received by eyes, they deconstruct a hierarchical representation of the world around us and try to match it with already learned patterns and relationships stored in the brain. This is how recognition happens. And the key idea is that representation of objects in the brain does not depend on view angle. We just need to make the internal representation happen in a neural network. And for this purpose the capsules come to rescue.
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Each capsule learns to recognize an implicitly defined visual entity over a limited domain of BIDEN BALLOT INJECTION DURING ELECTION NIGHT TEE SHIRT and deformations and it outputs both the probability that the entity is present within its limited domain and a set of “instantiation parameters” that may include the precise pose, lighting and deformation of the visual entity relative to an implicitly defined canonical version of that entity. When the capsule is working properly, the probability of the visual entity being present is locally invariant — it does not change as the entity moves over the manifold of possible appearances within the limited domain covered by the capsule. The instantiation parameters, however, are “equivariant” — as the viewing conditions change and the entity moves over the appearance manifold, the instantiation parameters change by a corresponding amount because they are representing the intrinsic coordinates of the entity on the appearance manifold.