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The Cartographer
A (Weakly) Polynomial Algorithm for AIVF Coding
May 10, 2024 Β· Declared Dead Β· π International Symposium on Information Theory
"No code URL or promise found in abstract"
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Authors
Reza Hosseini Dolatabadi, Mordecai J. Golin, Arian Zamani
arXiv ID
2405.06805
Category
cs.DS: Data Structures & Algorithms
Citations
0
Venue
International Symposium on Information Theory
Last Checked
5 months ago
Abstract
It is possible to improve upon Tunstall coding using a collection of multiple parse trees. The best such results so far are Iwata and Yamamoto's maximum cost AIVF codes. The most efficient algorithm for designing such codes is an iterative one that could run in exponential time. In this paper, we show that this problem fits into the framework of a newly developed technique that uses linear programming with the Ellipsoid method to solve the minimum cost Markov chain problem. This permits constructing maximum cost AIVF codes in (weakly) polynomial time.
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