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Answers for “最小-最大归一化的公式是什么?”

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Min-max normalization is a linear transformation that scales the raw feature values to a fixed range, typically [0, 1]. It subtracts the minimum value of the feature from each data point and then divides by the range (maximum minus minimum).

Conditions: Applied to a continuous numerical feature.; Requires knowing the minimum and maximum values of the feature.; The maximum and minimum values must not be equal (to avoid division by zero).

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Min-max normalization transforms a feature value XX into Xnorm=X−Xmin⁡Xmax⁡−Xmin⁡X_{\text{norm}} = \frac{X - X_{\min}}{X_{\max} - X_{\min}}, mapping the feature's observed range onto the interval [0,1][0, 1].

Conditions: Applied per numerical feature.; Requires a finite minimum Xmin⁡X_{\min} and maximum Xmax⁡X_{\max} for the feature.; Assumes Xmax⁡≠XminX_{\max} \neq X_{min} to avoid division by zero.

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Standardization transforms a feature value xx into z=x−μσz = \frac{x - \mu}{\sigma}, targeting a mean of 0 and a standard deviation of 1 for the transformed feature.

Conditions: Applied per numerical feature.; Uses the feature mean μ\mu and standard deviation σ\sigma.; Assumes σ>0\sigma > 0.

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Standardization (or Z-score normalization) is a linear transformation that centers the data around zero and scales it to have a standard deviation of one. It subtracts the mean of the feature from each data point and divides by the standard deviation.

Conditions: Applied to a continuous numerical feature.; Requires knowing the mean and standard deviation of the feature.; The standard deviation must not be zero (to avoid division by zero).