Unverified100% confidenceFactExact time
熵的数学定义为H(p) = -∑ p(x_i) log p(x_i)
2
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100%
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Long-term
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8/2/2026
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Unverified交叉熵 = 真实分布的熵 + KL 散度68% similarVerified克劳德·香农于1948年发表《通信的数学理论》，提出信息熵概念，低概率事件携带更高信息量，公式为I(x) = -log₂P(x)64% similarUnverified1951年香农发表论文《印刷英语的预测与熵》，通过人类被试预测下一字符的实验估计英语熵约为每字符1.0-1.5比特56% similarUnverified卡尔曼增益 K = PH^T(HPH^T + R)^{-1}，当R趋近零时K趋近H^{-1}，当P趋近零时K趋近零55% similarUnverifiedFrostman引理（1935年）断言：如果紧集的s维Hausdorff测度为正，则该集合上存在非零正则Borel测度μ满足μ(B(x,r)) ≤ C·r^s55% similar
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