R. Williams. Simple statistical gradient following algorithms for connectionisht reinforcement learning. Machine Learning, 8:229--256, 1992.  Home/Search Document Details and Download
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R. J. Williams, Simple statistical gradient-following algorithms for connectionist reinforcement learning, Machine Learning 8 (1992), no. 3, 229--256. Appendix: Proofs of Theorems 1 and 2 Proof of Theorem 1: Consider the definition of f a i given in (7). In [5] it is shown that there exist w a i ,l and # a i ,l (s) such that:
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