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arXiv · 2405.06831

Better Algorithms for Constructing Minimum Cost Markov Chains and AIFV Codes

Reza Hosseini Dolatabadi·Mordedcai J. Golin·Arian Zamani
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Abstract

The problem of constructing optimal AIFV codes is a special case of that of constructing minimum cost Markov Chains. This paper provides the first complete proof of correctness for the previously known iterative algorithm for constructing such Markov chains. A recent work describes how to efficiently solve the Markov Chain problem by first constructing a Markov Chain Polytope and then running the Ellipsoid algorithm for linear programming on it. This paper's second result is that, in the AIFV case, a special property of the polytope instead permits solving the corresponding linear program using simple binary search

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Reza Hosseini Dolatabadi, Mordedcai J. Golin, Arian Zamani. 2024-05-10. Better Algorithms for Constructing Minimum Cost Markov Chains and AIFV Codes. https://arxiv.org/abs/2405.06831

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