A study on L-extendability of integrally convex functions by linear interpolation
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- YOKOYAMA Ken
- Kyushu University
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- IWAMASA Yuni
- Kyoto University
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- KIMURA Kei
- Kyushu University
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- YOKOO Makoto
- Kyushu University
Bibliographic Information
- Other Title
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- 整凸関数の線形補間によるL拡張可能性に関する一考察
Description
<p>Integrally convex functions are a basic class of functions in discrete convex analysis, including M-convex functions and L-convex functions. Recently, the concept of L-extendable functions has been proposed for algorithm development for discrete optimization problems. A function h on an integer lattice is L-extendable if there exists an L-convex function g on a half-integer lattice such that the restriction of g on the integer lattice coincides with that of h. L-extendability is known to be useful in developing approximation algorithms and fast exact algorithms for various discrete optimization problems that are NP-hard. The purpose of this paper is to investigate L-extendability of integrally convex functions. In particular, we focus on L-extensibility by linear interpolation and discuss a characterization of integrally convex functions for which such extensions are possible.</p>
Journal
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- Proceedings of the Annual Conference of JSAI
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Proceedings of the Annual Conference of JSAI JSAI2024 (0), 3Xin235-3Xin235, 2024
The Japanese Society for Artificial Intelligence
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Keywords
Details 詳細情報について
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- CRID
- 1390581920995810816
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- ISSN
- 27587347
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- Text Lang
- ja
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- Data Source
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- JaLC
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- Abstract License Flag
- Disallowed