Minkowski Distance Example

Minkowski distance includes one method of searching distance between data points. But in this article. I am not talking about theory of Minkowski distance. If you want to know theory about minkowski distance. Please read my article titled "List Calculation of distancebetween data points".

This article discusses examples of minkowski distance calculations using the data sets shown in the table below.

Sepal length	Sepal Width	Petal length	Petal Width
5.5	2.3	4	1.3
6.3	3.3	4.7	1.6
5.2	2.7	3.9	1.4
6.1	2.9	4.7	1.4
7.1	3	5.9	2.1
6.5	3	5.9	2.1
7.2	3.6	6.1	2.5
5.8	2.8	5.1	2.4
7.7	2.6	6.9	2.3
5.6	2.8	4.9	2

We will calculate the distance between the fourth data and all the data contained in the above dataset. Therefore we prepare the fourth data as follows.

Sepal length	Sepal Width	Petal length	Petal Width
6.1	2.9	4.7	1.4

We calculate the distance between the fourth data with all data by using the formula below.

Let us calculate the distance between the fourth data with the other data, here we assume with the value p = 3

1. Calculates the distance between the fourth data with the first data.

2. Calculate the distance between the fourth data and the second data.

The calculation of the distance between the fourth data and the other data is calculated in the same way as the above calculation. So after calculated all the results obtained as the following table.

Sepal length	Sepal Width	Petal length	Petal Width	Distance
5.5	2.3	4	1.3	0.840644
6.3	3.3	4.7	1.6	0.411953
5.2	2.7	3.9	1.4	1.016416
6.1	2.9	4.7	1.4	0
7.1	3	5.9	2.1	1.349216
6.5	3	5.9	2.1	1.236733
7.2	3.6	6.1	2.5	1.627151
5.8	2.8	5.1	2.4	1.008345
7.7	2.6	6.9	2.3	2.352796
5.6	2.8	4.9	2	0.663496