Solomonoff归纳法的可计算性与知识寻求
On the Computability of Solomonoff Induction and Knowledge-Seeking
摘要:
所罗门诺夫归纳法被认为是学习的黄金标准,但众所周知它是不可计算的。我们量化其不可计算性放置各种口味的Solomonoff的先验M的算术层次。我们还推导了知识寻求代理的可计算性界,并给出了一个有限可计算的弱渐近最优强化学习代理。
英文摘要:
Solomonoff induction is held as a gold standard for learning, but it is known to be incomputable. We quantify its incomputability by placing various flavors of Solomonoff's prior M in the arithmetical hierarchy. We also derive computability bounds for knowledge-seeking agents, and give a limit-computable weakly asymptotically optimal reinforcement learning agent.
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