广播频道合作收益:部分信息分解的操作解释
Chao Tian1, Shlomo Shamai Shitz2
1Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX 77840, USA.
Entropy (Basel, Switzerland)
|March 28, 2025
概括
部分信息分解,用于机器学习和信号处理,现在已经严格定义. 我们将其连接到广播频道容量,将协同信息解释为合作获利,以获得更清晰的应用.
科学领域:
- 信息理论 信息理论
- 机器学习 机器学习
- 生物信号处理 生物信号处理
背景情况:
- 部分信息分解 (PID) 越来越多地应用于机器学习和生物信号处理.
- 由于PID的启发性起源,其理论基础和操作意义仍然不清楚.
研究的目的:
- 为部分信息分解提供严格的信息理论基础.
- 将PID连接到广播频道的既定容量.
主要方法:
- 建立PID和广播频道容量之间的正式联系.
- 在PID中解释协同信息,使用广播频道理论的概念.
主要成果:
- 在PID中的协同信息可以严格地解释为在广播频道设置中的合作收益,或其下限.
- 这为PID提供了正式的操作意义.
结论:
- 连接到广播频道容量澄清了PID的理论基础.
- 这种解释有助于在各个领域更好地解释和更广泛地应用PID技术.
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