Rényi Entropy Rate of Stationary Ergodic Processes
文献类型：期刊论文
| 作者 | Wu, Chengyu5; Li, Yonglong3,4; Xu, Li2; Han, Guangyue1 |
| 刊名 | IEEE TRANSACTIONS ON INFORMATION THEORY
 |
| 出版日期 | 2024 |
| 卷号 | 70期号:1页码:1-15 |
| 关键词 | R & eacute ergodic processes hidden Markov models hidden Markov models cutting and stacking method nyi entropy rate |
| ISSN号 | 0018-9448 |
| DOI | 10.1109/TIT.2023.3318265 |
| 英文摘要 | In this paper, we examine the R & eacute;nyi entropy rate of stationary ergodic processes. For a special class of stationary ergodic processes, we prove that the R & eacute;nyi entropy rate always exists and can be approximated by its defining sequence at most polynomially; moreover, using the Markov approximation method, we show that the R & eacute;nyi entropy rate can be exponentially approximated by that of the Markov approximating sequence, as the Markov order goes to infinity. For the general case, by constructing a counterexample, we disprove the conjecture that the R & eacute;nyi entropy rate of a general stationary ergodic process always converges to its Shannon entropy rate as alpha goes to 1. |
| 资助项目 | Research Grants Council of the Hong Kong Special Administrative Region, China |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:001134299300036 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://119.78.100.204/handle/2XEOYT63/38403]  |
| 专题 | 中国科学院计算技术研究所期刊论文_英文 |
| 通讯作者 | Wu, Chengyu |
| 作者单位 | 1.Univ Hong Kong, Dept Math, Hong Kong, Peoples R China 2.Chinese Acad Sci, Inst Comp Technol, Beijing 100190, Peoples R China 3.Natl Univ Singapore, Ctr Quantum Technol CQT, Singapore 117583, Singapore 4.Natl Univ Singapore, Dept Elect & Comp Engn ECE, Singapore 117583, Singapore 5.Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada |
| 推荐引用方式 GB/T 7714 | Wu, Chengyu,Li, Yonglong,Xu, Li,et al. Rényi Entropy Rate of Stationary Ergodic Processes[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2024,70(1):1-15. |
| APA | Wu, Chengyu,Li, Yonglong,Xu, Li,&Han, Guangyue.(2024).Rényi Entropy Rate of Stationary Ergodic Processes.IEEE TRANSACTIONS ON INFORMATION THEORY,70(1),1-15. |
| MLA | Wu, Chengyu,et al."Rényi Entropy Rate of Stationary Ergodic Processes".IEEE TRANSACTIONS ON INFORMATION THEORY 70.1(2024):1-15. |
入库方式： OAI收割
来源：计算技术研究所
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