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Answers for “标准化的公式是什么?”

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Understand why

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Standardization centers data at the mean (μ\mu), so values below the mean become negative. Min-max normalization shifts and scales data so the minimum becomes 0 and the maximum becomes 1, keeping all values non-negative within [0, 1].

Conditions: Standardization uses z=x−μσz = \frac{x - \mu}{\sigma}.; Min-max uses Xnorm=X−Xmin⁡Xmax⁡−Xmin⁡X_{\text{norm}} = \frac{X - X_{\min}}{X_{\max} - X_{\min}}.

Understand why

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No, standardization does not change the general shape of its distribution; it only shifts the mean to zero and scales the standard deviation to one. It is a linear transformation, so a highly skewed distribution remains skewed after standardization.

Conditions: The dataset has a well-defined mean and standard deviation.; Standardization is applied as a linear transformation.

Understand why

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In machine learning, normalization is used to scale different features to the same scale, preventing features with larger numerical values from dominating model training and thus avoiding inconsistency. If features differ greatly in magnitude, the algorithm may become biased.

Conditions: Suitable for datasets where features differ greatly in units or magnitude