Unverified50% confidenceBenchmarkExact time
一个token在水印系统中贡献的有效信息量通常在0.01到0.1比特之间，取决于原始概率分布的熵值
1
Sources
50%
Confidence
Long-term
Relevance
9/5/2026
First Seen
Sources
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Unverified有限样本估计熵率面临系统性负偏差问题，插件估计量倾向于低估真实熵，可用Miller-Madow校正通过添加(k-1)/(2N)项补偿67% similarUnverified熵率定义为 H(X) = lim (1/n) H(X_1,...,X_n)，表示平均每个符号所携带的信息量65% similarUnverified均匀转移情形下马尔可夫链熵率达到最大值 log N，确定性转移情形下熵率为065% similarPartially Verified分布越确定其熵越低所需编码越短，分布越随机（如均匀分布）其熵越高64% similarUnverified将年龄字段从100个可能值泛化为5个区间，信息熵从约6.64比特降至约2.32比特，信息量损失超过60%64% similar
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