1. Better Algorithms for Constructing Minimum Cost Markov Chains and AIFV Codes
- Author
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Dolatabadi, Reza Hosseini, Golin, Mordedcai J., and Zamani, Arian
- Subjects
Computer Science - Data Structures and Algorithms ,F.2.2 ,E.4 - 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, Comment: Expanded version of paper appearing in ISIT 2024. arXiv admin note: text overlap with arXiv:2401.11622
- Published
- 2024