Developer Guide and Reference

  • 2021.4
  • 09/27/2021
  • Public Content
Contents

Mathematical Notations

Notation
Definition
n
or
m
The number of observations in a tabular dataset. Typically
n
is used, but sometimes
m
is required to distinguish two datasets, e.g., the training set and the inference set.
p
or
r
The number of features in a tabular dataset. Typically
p
is used, but sometimes
r
is required to distinguish two datasets.
LaTex Math image.
The dimensionality of a matrix (dataset) has
a
rows (observations) and
b
columns (features).
V
The vertex set in a graph.
E
The edge set in a graph.
u
,
v
or
w
The vertex in a graph.
LaTex Math image.
The edge in a graph.
LaTex Math image.
Depending on the context may be interpreted as follows:
  • If
    A
    is a set, this denotes its cardinality, i.e., the number of elements in the set
    A
    .
  • If
    A
    is a real number, this denotes the absolute value of
    A
    .
LaTex Math image.
The LaTex Math image.-norm of a vector LaTex Math image.,
LaTex Math image.
LaTex Math image.
Sign function for LaTex Math image.,
LaTex Math image.
LaTex Math image.
In the description of an algorithm, this typically denotes the
i
-th feature vector in the training set.
LaTex Math image.
In the description of an algorithm, this typically denotes the
i
-th feature vector in the inference set.
LaTex Math image.
In the description of an algorithm, this typically denotes the
i
-th response in the training set.
LaTex Math image.
In the description of an algorithm, this typically denotes the
i
-th response that needs to be predicted by the inference algorithm given the feature vector LaTex Math image. from the inference set.

Product and Performance Information

1

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