On defining partition entropy by inequalities
文献类型：期刊论文
| 作者 | Luo, Ping; Zhan, Guoxing; He, Qing; Shi, Zhongzhi; Lue, Kevin |
| 刊名 | IEEE TRANSACTIONS ON INFORMATION THEORY
 |
| 出版日期 | 2007-09-01 |
| 卷号 | 53期号:9页码:3233-3239 |
| 关键词 | conditional entropy inequality partition entropy uncertainty |
| ISSN号 | 0018-9448 |
| DOI | 10.1109/TIT.2007.903124 |
| 英文摘要 | Partition entropy is the numerical metric of uncertainty within a partition of a finite set, while conditional entropy measures the degree of difficulty in predicting a decision partition when a condition partition is provided. Since two direct methods exist for defining conditional entropy based on its partition entropy, the inequality postulates of monotonicity, which conditional entropy satisfies, are actually additional constraints on its entropy. Thus, in this paper partition entropy is defined as a function of probability distribution, satisfying all the inequalities of not only partition entropy itself but also its conditional counterpart. These inequality postulates formalize the intuitive understandings of uncertainty contained in partitions of finite sets. We study the relationships between these inequalities, and reduce the redundancies among them. According to two different definitions of conditional entropy from its partition entropy, the convenient and unified checking conditions for any partition entropy are presented, respectively. These properties generalize and illuminate the common nature of all partition entropies. |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000249025100022 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://119.78.100.204/handle/2XEOYT63/10828]  |
| 专题 | 中国科学院计算技术研究所期刊论文_英文 |
| 通讯作者 | Luo, Ping |
| 作者单位 | 1.Chinese Acad Sci, Inst Comp Technol, Key Lab Intelligent Informat Proc, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100864, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 4.Brunel Univ, Uxbridge UB8 3PH, Middx, England |
| 推荐引用方式 GB/T 7714 | Luo, Ping,Zhan, Guoxing,He, Qing,et al. On defining partition entropy by inequalities[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2007,53(9):3233-3239. |
| APA | Luo, Ping,Zhan, Guoxing,He, Qing,Shi, Zhongzhi,&Lue, Kevin.(2007).On defining partition entropy by inequalities.IEEE TRANSACTIONS ON INFORMATION THEORY,53(9),3233-3239. |
| MLA | Luo, Ping,et al."On defining partition entropy by inequalities".IEEE TRANSACTIONS ON INFORMATION THEORY 53.9(2007):3233-3239. |
入库方式： OAI收割
来源：计算技术研究所
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