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Action equivalence classes in í µí°´/∼ for the actions show in Figure 3.

Action equivalence classes in í µí°´/∼ for the actions show in Figure 3.

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In this paper, we propose a framework to extract the algebra of the transformations of worlds from the perspective of an agent. As a starting point, we use our framework to reproduce the symmetry-based representations from the symmetry-based disentangled representation learning (SBDRL) formalism proposed by [1]; only the algebra of transformations...

Contexts in source publication

Context 1
... í µí±Ž ′ * í µí±¤ = í µí±Ž * í µí±¤ for all í µí±¤ ∈ í µí±Š, and so í µí±Ž ′ ∼ í µí±Ž. □ Figure 5 shows the effect of applying the equivalence relations to our 2 × 2 cyclical example world í µí²² í µí± . ...
Context 2
... our example world í µí²² í µí± , the equivalence classes shown in Figure 5 -those labelled by 1, í µí± , and í µí±ˆ -are the only equivalence classes in í µí°´/∼. The í µí±¤-state Cayley table in Table 2 shows the final world state reached after the following operation: table entry = column element * (row element * í µí±¤). ...

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