This content originally appeared on HackerNoon and was authored by Anchoring
:::info Authors:
(1) Jongmin Lee, Department of Mathematical Science, Seoul National University;
(2) Ernest K. Ryu, Department of Mathematical Science, Seoul National University and Interdisciplinary Program in Artificial Intelligence, Seoul National University.
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1.1 Notations and preliminaries
2.1 Accelerated rate for Bellman consistency operator
2.2 Accelerated rate for Bellman optimality opera
5 Approximate Anchored Value Iteration
6 Gauss–Seidel Anchored Value Iteration
7 Conclusion, Acknowledgments and Disclosure of Funding and References
E Omitted proofs in Section 5
First, we prove following key lemma.
\
\
\ and let U¯ be the entire right hand side of inequality. Then, we have
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\ Now, we prove second inequality in Lemma 17 by induction.
\ If k= 1,
\
\ and let U¯ be the entire right hand side of inequality. Then, we have
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\ Now, we prove the first rate in Theorem 6.
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\ Now, for the second rate in Theorem 6, we present following key lemma.
\
\
\
\ let U¯ be the entire right hand side of inequality. Then, we have
\
\ Now, we prove the second rate in Theorem 6.
\
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:::info This paper is available on arxiv under CC BY 4.0 DEED license.
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This content originally appeared on HackerNoon and was authored by Anchoring
Anchoring | Sciencx (2025-01-16T21:30:03+00:00) What Makes AI Work? A Breakdown of the Key Proofs. Retrieved from https://www.scien.cx/2025/01/16/what-makes-ai-work-a-breakdown-of-the-key-proofs/
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