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Algorithmic probability
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===Optimality and Limitations=== AIXI is universally optimal in the sense that it performs as well as or better than any other agent in all computable environments. This universality makes it a theoretical benchmark for intelligence. However, its reliance on algorithmic probability renders it computationally infeasible, requiring exponential time to evaluate all possibilities. To address this limitation, Hutter proposed time-bounded approximations, such as AIXItl, which reduce computational demands while retaining many theoretical properties of the original model. These approximations provide a more practical balance between computational feasibility and optimality.
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