`sum_by_weight`

Syntax


xxxxxxxxxx
sum_by_weight(weights, elements)

Description


xxxxxxxxxx
sum = sum_by_weight(weights, elements)

Calculates the weighted sum. weights specifies the weight vector, and elements is an array of the values of all the elements.

The weighted sum is

s = \sum_{i = 1}^{n} w_{i} x_{i}

$w_i$ $i$ $x_i$ $i=1,2,\cdots,n$ .

Examples


xxxxxxxxxx
>>> from OpenHA.assessment.system import sum_by_weight
>>> import numpy as np

>>> weight = np.array([0.1, 0.2, 0.3, 0.4])
>>> elements = np.random.random((4,))
>>> sum_by_weight(weight, elements)

0.31787561946429277

Input Arguments

weights —— The weight vector, specified as an array of positive numeric scalar of length n.

And it should satisfy

\sum_{i = 1}^{n} w_{i} = 1, w_{i} > 0

elements —— Array of values of all the elements, specified as an array of length n.

Properties of Arguments

Name of the parameters	Is optional?	Source, dialog or input port?
`weights`	No	Input port
`elements`	No	Input port