Created: 2026-03-06 07:53:04
Updated: 2026-03-06 07:53:04

Differential Entropy
Definition:

h(x)=f(x)logf(x)dxh(x) = -\int _{-\infty }^{\infty} f(x)\log f(x) \, dx

这个Entropy与按Δ\Delta做间隔,对连续变量做离散化之后的熵H(XΔ)H(X_{\Delta})有联系:

H(XΔ)log1Δh(x)H(X_{\Delta}) - \log \frac{1}{\Delta} \approx h(x)

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