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Scaler Catalog

Reference for feature-scaling-advisor · 45 lines

AI & Machine Learning / Classical Machine Learningv1.0.0Updated OCT 25 20264 references2 scripts
ScalerFormulaOutputOutlier-sensitiveSparse-safeNotes
StandardScaler(x − mean) / stdunbounded, mean 0, std 1yes (mean, std)with_mean=False onlydefault for symmetric features
RobustScaler(x − median) / IQRunboundednowith_centering=Falsequantile_range=(25, 75); outliers stay outliers but do not set the scale
MinMaxScaler(x − min) / (max − min)[0, 1] (or feature_range)very (min, max)noclip=True bounds unseen values at serving time
MaxAbsScalerx / maxx[−1, 1]yes
Normalizerx / ‖x‖ per rowunit norm rows-yesnot a feature scaler: normalises samples (text vectors, cosine similarity)
PowerTransformerBox-Cox / Yeo-Johnson, then standardise~Gaussianmoderatelynoλ fitted by maximum likelihood per column
QuantileTransformerempirical CDF -> uniform or normal[0, 1] or ~N(0, 1)nopartiallynon-linear; n_quantiles <= n rows; ties collapse
FunctionTransformer(np.log1p)log(1 + x)-reduces right tailyes (log1p(0) = 0)x >= 0 only; add inverse_func=np.expm1
SplineTransformerB-spline basisseveral columns-nonon-linear effects for linear models, not scaling
KBinsDiscretizerquantile / uniform / k-means binsone-hot or ordinalno-coarse, robust; loses within-bin information

Parameters worth knowing

python
StandardScaler(with_mean=True, with_std=True)
RobustScaler(with_centering=True, with_scaling=True, quantile_range=(25.0, 75.0), unit_variance=False)
MinMaxScaler(feature_range=(0, 1), clip=False)
PowerTransformer(method="yeo-johnson", standardize=True)        # "box-cox" requires x > 0
QuantileTransformer(n_quantiles=1000, output_distribution="uniform", subsample=10_000, random_state=0)

RobustScaler(unit_variance=True) rescales so a normal feature ends with unit variance, making it comparable with standard-scaled columns.

Inverse transforms

All of the above have inverse_transform (FunctionTransformer only if inverse_func is given). Use it to report predictions or cluster centres in original units.

Mixed pipelines

python
from sklearn.compose import ColumnTransformer, make_column_selector
prep = ColumnTransformer([
    ("num", StandardScaler(), make_column_selector(dtype_include="number")),
    ("cat", OneHotEncoder(handle_unknown="ignore"), make_column_selector(dtype_include="object")),
])

Do not standard-scale one-hot columns for tree models; for linear models with penalties, scaling one-hot columns is optional (it changes how strongly rare levels are shrunk); many practitioners leave them as 0/1.

More in Classical Machine Learning

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