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DenseZDD : A Compact and Fast Index for Families of Sets
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Title: | DenseZDD : A Compact and Fast Index for Families of Sets |
Authors: | Denzumi, Shuhei Browse this author | Kawahara, Jun Browse this author | Tsuda, Koji Browse this author | Arimura, Hiroki Browse this author →KAKEN DB | Minato, Shin-ichi Browse this author →KAKEN DB | Sadakane, Kunihiko Browse this author |
Keywords: | zero-suppressed binary decision diagram | succinct data structure | set family |
Issue Date: | Aug-2018 |
Publisher: | MDPI |
Journal Title: | Algorithms |
Volume: | 11 |
Issue: | 8 |
Start Page: | a11080128 |
Publisher DOI: | 10.3390/a11080128 |
Abstract: | In this article, we propose a succinct data structure of zero-suppressed binary decision diagrams (ZDDs). A ZDD represents sets of combinations efficiently and we can perform various set operations on the ZDD without explicitly extracting combinations. Thanks to these features, ZDDs have been applied to web information retrieval, information integration, and data mining. However, to support rich manipulation of sets of combinations and update ZDDs in the future, ZDDs need too much space, which means that there is still room to be compressed. The paper introduces a new succinct data structure, called DenseZDD, for further compressing a ZDD when we do not need to conduct set operations on the ZDD but want to examine whether a given set is included in the family represented by the ZDD, and count the number of elements in the family. We also propose a hybrid method, which combines DenseZDDs with ordinary ZDDs. By numerical experiments, we show that the sizes of our data structures are three times smaller than those of ordinary ZDDs, and membership operations and random sampling on DenseZDDs are about ten times and three times faster than those on ordinary ZDDs for some datasets, respectively. |
Rights: | http://creativecommons.org/licenses/by/4.0/ |
Type: | article |
URI: | http://hdl.handle.net/2115/71743 |
Appears in Collections: | 国際連携研究教育局 : GI-CoRE (Global Institution for Collaborative Research and Education : GI-CoRE) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 有村 博紀
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