Intel® oneAPI Data Analytics Library Developer Guide and Reference

Developer Guide and Reference

  • 2023.0
  • 12/16/2022
  • Public Content
Contents

Moments of Low Order

Moments are basic quantitative measures of data set characteristics such as location and dispersion. oneDAL computes the following low order characteristics:
  • minimums/maximums
  • sums
  • means
  • sums of squares
  • sums of squared differences from the means
  • second order raw moments
  • variances
  • standard deviations
  • variations

Details

Given a set
X
 of
n
 feature vectors LaTex Math image. of dimension
p
, the problem is to compute the following sample characteristics for each feature in the data set:
Moments of Low Order
Statistic
Definition
Minimum
LaTex Math image.
Maximum
LaTex Math image.
Sum
LaTex Math image.
Sum of squares
LaTex Math image.
Means
LaTex Math image.
Second order raw moment
LaTex Math image.
Sum of squared difference from the means
LaTex Math image.
Variance
LaTex Math image.
Standard deviation
LaTex Math image.
Variation coefficient
LaTex Math image.

Computation

The following computation modes are available:

Examples

C++ (CPU)
Batch Processing:
Online Processing:
Distributed Processing:
Java*
There is no support for Java on GPU.
Batch Processing:
Online Processing:
Distributed Processing:
Python* with DPC++ support
Batch Processing:
Online Processing:
Python*
Batch Processing:
Online Processing:
Distributed Processing:

Product and Performance Information

1

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.