Below is a given data set: Feature 1 Data Object 1 | 1 Data Object 2 0 Data Object 3 1 Feature 2 Feature 3 Feature 4 Feature 5 1 1 1 1 1 a) What is the Euclidean distance between data object 2 and data object 3? b) What is the Jaccard similarity coefficient between data object 1 and data object 2? c) What is the cosine similarity between data object 1 and data object 3?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Below is a given data set:

|         | Feature 1 | Feature 2 | Feature 3 | Feature 4 | Feature 5 |
|---------|-----------|-----------|-----------|-----------|-----------|
| Data Object 1 |     1     |     0     |     0     |     1     |     1     |
| Data Object 2 |     0     |     1     |     0     |     1     |     0     |
| Data Object 3 |     1     |     0     |     1     |     1     |     0     |

Questions:
a) What is the Euclidean distance between data object 2 and data object 3?

b) What is the Jaccard similarity coefficient between data object 1 and data object 2?

c) What is the cosine similarity between data object 1 and data object 3?
Transcribed Image Text:Below is a given data set: | | Feature 1 | Feature 2 | Feature 3 | Feature 4 | Feature 5 | |---------|-----------|-----------|-----------|-----------|-----------| | Data Object 1 | 1 | 0 | 0 | 1 | 1 | | Data Object 2 | 0 | 1 | 0 | 1 | 0 | | Data Object 3 | 1 | 0 | 1 | 1 | 0 | Questions: a) What is the Euclidean distance between data object 2 and data object 3? b) What is the Jaccard similarity coefficient between data object 1 and data object 2? c) What is the cosine similarity between data object 1 and data object 3?
Expert Solution
Given:

The data set 

  Feature 1 Feature 2 Feature 3 Feature 4 Feature 5
Data object 1 1 0 0 1 1
Data object 2 0 1 0 1 0
Data object 3 1 0 1 1 0
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