Active M-ary sequential hypothesis testing
Active M-ary sequential hypothesis testing
复制标题
主动多进制序贯假设检验
DOI：
10.1109/isit.2010.5513381
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
T. Javidi
中科院分区：
文献类型：
--
作者：
Mohammad Naghshvar;T. Javidi
考虑了一个广义序贯假设检验问题，在该问题中，决策者不仅可以在感知成本和申报精度之间进行权衡，而且可以对感知信息进行控制.在这里，决策者的行动影响传感成本以及结果。数值求解一个适当的DP，它表明，感知结果具有双重作用：1）它立即减少决策者的信念的不确定性; 2）它通过贝叶斯规则塑造未来的信念。本文重点研究了最优感知行为独立于当前和未来置信向量的充分条件，并将问题简化为经典的（被动）假设检验问题。
This paper considers a generalized sequential hypothesis testing problem in which a decision maker not only can sequentially trade off the sensing cost with the declaration precision, but also can exert control over the sensed information. Here, the decision maker's action impacts the sensing cost as well as outcome. Numerically solving an appropriate DP, it is shown that the sensing outcome has a dual role: 1) it immediately reduces the uncertainty in the decision maker's belief; and 2) it shapes the future belief via Bayes' rule. This paper focuses on sufficient conditions rendering the optimal sensing actions independent of the current and future belief vector, and reducing the problem to a classical (passive) hypothesis testing problem.