Min-Max Scaling

Scale One Row

One row shows the fraction arithmetic behind the scaled coordinates.

highlighted = computed this step

Scale Q on the small feature

Q has small value 0. With min 0 and range 4, the scaled value is 0.

0−04=0{0 - 0\over4} = 0
Feature Scaling ExactlyExact min-max fractions from one displayed table.min-max scaled feature tablerowsmall rawlarge rawsmall scaledlarge scaledQ09009/10A101/40B410011small: min 0, max 4, range 4large: min 0, max 100, range 100preprocessing changes coordinate scale onlydistance and gradient-style methods see the changed coordinatesNOT training; NOT learning; NOT generalizationNOT accuracy; NOT calibration; NOT a guarantee of model qualityNOT probability truth

Scale Q on the large feature

Q has large value 90. With min 0 and range 100, the scaled value is 9/10.

90−0100=9/10{90 - 0\over100} = 9/10
Feature Scaling ExactlyExact min-max fractions from one displayed table.min-max scaled feature tablerowsmall rawlarge rawsmall scaledlarge scaledQ09009/10A101/40B410011small: min 0, max 4, range 4large: min 0, max 100, range 100preprocessing changes coordinate scale onlydistance and gradient-style methods see the changed coordinatesNOT training; NOT learning; NOT generalizationNOT accuracy; NOT calibration; NOT a guarantee of model qualityNOT probability truth

Q is now an exact fraction row

The raw row Q=(0,90) becomes scaled row Q=(0, 9/10).

Qscaled=(0,9/10)Q_{\text{scaled}}=(0,9/10)
Feature Scaling ExactlyExact min-max fractions from one displayed table.min-max scaled feature tablerowsmall rawlarge rawsmall scaledlarge scaledQ09009/10A101/40B410011small: min 0, max 4, range 4large: min 0, max 100, range 100preprocessing changes coordinate scale onlydistance and gradient-style methods see the changed coordinatesNOT training; NOT learning; NOT generalizationNOT accuracy; NOT calibration; NOT a guarantee of model qualityNOT probability truth