Normalization of Continuous Data

Let us assume that it is required to cast values to [a, b] range. The following formula is used for this purpose:

,

where is a current value, , are minimum and maximum field values. This is how the linear normalizer is used.

The following data normalization options are available in Megaladata:

  • No: there is no normalization. In this case, the data is sent to the main algorithm without preprocessing.
  • Scaling [min; max]: the data reduction to [min; max] range set by a user by means of the linear transformation:
    • Minimum: the minimum value.
    • Maximum: the maximum value.
  • Scaling [-1;1]: the data reduction to [-1;1] range by means of the linear transformation.
  • Scaling [0;1]: the data reduction to [0;1] range by means of the linear transformation.
  • Absolute scaling: each value is divided by the maximum absolute value.
  • Standardization: the average value is subtracted from each value, and then it is divided by the standard deviation.
  • Quotient: each value is divided by the statistical indicator or the value set by a user.
    • Divisor:
      • Statistical indicator (Minimum, Maximum, Average, Sum, Standard deviation).
      • Set value.

Range Control

Control of values range does not let the value go out of the specified range saved while training when executing the node.

  • Control method:
    • No: there is no control method.
    • Error: if the value that goes out of the given range is detected, the following error occurs when the node is started: Normalizing value exceeds the values range maximum.
    • Winsorization: if the value that goes out of the given range is detected, it is reduced to the maximum/minimum value.
  • Manual setting: when this checkbox is selected, it becomes possible to select the range of values.
  • Source Range: the values of the input field minimum and maximum. It is set when retraining the node.
    • Minimum.
    • Maximum.
  • Controlled Range: the manual setting of values range.
    • Minimum.
    • Maximum.

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