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The composite mapping from the set í µí±Š of world states to the set í µí± of state representations via the set í µí±‚ of observations.

The composite mapping from the set í µí±Š of world states to the set í µí± of state representations via the set í µí±‚ of observations.

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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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... agent's internal state representation of the world state is an element of a set í µí± of all possible internal state representations. There exists a composite mapping í µí±“ = ℎ • í µí± : í µí±Š → í µí± that maps world states to states of the agent's representation (í µí±¤ ↦ → í µí± §); this composite mapping is made up of the mapping of an observation process í µí± : í µí±Š → í µí±‚ that maps world states to observations (í µí±¤ ↦ → í µí±œ) and the mapping of an inference process ℎ : í µí±‚ → í µí± that maps observations to the agent's internal state representation (í µí±œ ↦ → í µí± §) (see Figure 4). ...

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