| 术语 | transinformation content |
| 释义 | transinformation content 传送［转移］信息量 In information theory, the difference between the information content conveyed by the occurrence of an event and the conditional information content conveyed by the occurrence of the same event, given the occurrence of another event; in mathematical notation: x&-{i},y&-{j} is a pair of events, such as an input message x&-{i} and an output message y&-{j}, p(x&-{i},y&-{j}) the joint probability of the occurrence of both events x&-{i} and y&-{j}, p(x&-{i} |y&-{j}) the conditional probability of the occurrence of the event x&-{i}, given the occurrence of the event y&-{j}, p(y&-{j} |x&-{ i}) the conditional probability of the occurrence of the event y&-{j}, given the occurrence of the event x&-{i}, p(x&-{i}) the probability of the occurrence of event x&-{i}, p(y&-{j}) the probability of occurrence of event y&-{j}, then this difference T (x&-{i} |y&-{j}) for the pair of events x&-{i},y&-{j} is expressed as: = T(x&-{i} |y&-{j})=log1p(x&-{i})-log1p(xi |y&-{j}) =logp(x&-{i} |y&-{j})p(x&-{i})=logp(x&-{i},y&-{i})p(x&-{i})p(y&-{j}) =logp(y&-{j} |x&-{i})p(y&-{j})=T(y&-{j} |x&-{i}). 在信息论中，在给定发生另一个事件的前提下，发生某个事件所传递的信息量和发生该同一 事件所传递的条件信息量之差值。用数字表示：x&-{i},y&-{j}是一对事件，x&-{i}为输入信息， y&-{j}为输出信息；p(x&-{i},y&-{j})是两个事件都发生的联合概率；p(x&-{i} |y&-{j})是在给定事件 y&-{j}发生的情况下，事件x&-{i}发生的条件概率；p(y&-{j} |x&-{i})是在给定事件x&-{i}发生的情况下，事件y&-{j}发生的条件概率； p(x&-{i})是事件x&-{i}发生的概率；p(y&-{j})是事件y&-{j}发生的概率；那么，该对事件x&-{i},y&-{j}的这种差值T(x&-{i} |y&-{j})可表达韦 = T(x&-{i} |y&-{j})=log1p(x&-{i})-log1p(x&-{i} |y&-{j}) =logp(x&-{i} |y&-{j})p(x&-{i})=logp(x&-{i},y&-{i})p(x&-{i})p(y&-{j}) =logp(y&-{j} |x&-{i})p(y&-{j})=T(y&{j} |x&{i}). 同mutual information,transferred information,transmitted information。 参阅character mean transinformation content,mean transinformation content。 |
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