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Redundancy —— 读A visual introduc

Redundancy —— 读A visual introduc

作者: 刘东利2020 | 来源:发表于2023-08-08 07:18 被阅读0次

说道Redundancy,怎么定义正式呢?

The redundancy of a random event depends on how uncertain its outcome is, compared to how uncertain a variable on the same probability space could be.

注意,这里有个potential outcome思考:

The latter is defifined by the maximum entropy distribution Hmax(X) on the set of possible outcomes X.

....maximum entropy is equal to the log number of possible states.

还是看截图吧:

为什么呢?因为这种情况下,是假设均匀分布,大家都等可能,每个发生的概率是1/|X|,得到以上公式。

因此:

The redundancy W is the difffference between this maximum entropy and the actual entropy of the random variable:

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