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Labelling the transitions in Figure 2 with the relevant actions in í µí°´.

Labelling the transitions in Figure 2 with the relevant actions in í µí°´.

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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...

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... denote the map that performs this labelling by í µí±™ : í µí°· í µí°´→µí°´→ í µí°´. Figure 3 shows how transitions are labelled with actions in our 2 × 2 cyclical world example. We only show the minimum actions for simplicity but there are actually infinite action transitions between each pair of world states; for example, the action transitions from í µí±¤ 0 to í µí±¤ 1 include those labelled by: ...

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