Given the following eight points point 1 point 2 point 3 point 4 point 5 point 6 point 7 point 8 (4,1) (7,6) (6,2) (2,4) (5,3) (1,7) (8,5) (3,8) cluster them using the k-means algorithm (all distances are Euclidean) until convergence, i.e. until there is no change in clusters. Assume the parameter k = 3 and the initial cluster centroids are point 1, point 2, and point 3. What is the resulting clustering? O a. {1, 2, 4), (5, 6, 8}, {3,7} O b. {1, 4), (6, 8), (2, 3, 5, 7} O c. none of the proposed answers O d. {4}, {1, 6, 8}, {2, 3, 5, 7} O e. {1}, {4, 6}, {2, 3, 5, 7, 8) O f. {1, 4, 6), (3, 8), (2, 5, 7)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question
Given the following eight points
point 1 point 2 point 3 point 4 point 5 point 6 point 7 point 8
(4,1) (7,6) (6,2) (2,4) (5, 3) (1,7) (8,5)
(3,8)
cluster them using the k-means algorithm (all distances are Euclidean) until convergence, i.e. until there is no change in clusters. Assume the
parameter k = 3 and the initial cluster centroids are point 1, point 2, and point 3.
What is the resulting clustering?
O a. {1, 2, 4), (5, 6, 8}, {3,7}
O b. {1, 4), (6, 8}, {2, 3, 5, 7}
c. none of the proposed answers
d. {4}, {1, 6, 8}, {2, 3, 5, 7}
O e. {1}, {4, 6}, {2, 3, 5, 7, 8}
O f. {1, 4, 6}, {3, 8}, {2, 5, 7}
Transcribed Image Text:Given the following eight points point 1 point 2 point 3 point 4 point 5 point 6 point 7 point 8 (4,1) (7,6) (6,2) (2,4) (5, 3) (1,7) (8,5) (3,8) cluster them using the k-means algorithm (all distances are Euclidean) until convergence, i.e. until there is no change in clusters. Assume the parameter k = 3 and the initial cluster centroids are point 1, point 2, and point 3. What is the resulting clustering? O a. {1, 2, 4), (5, 6, 8}, {3,7} O b. {1, 4), (6, 8}, {2, 3, 5, 7} c. none of the proposed answers d. {4}, {1, 6, 8}, {2, 3, 5, 7} O e. {1}, {4, 6}, {2, 3, 5, 7, 8} O f. {1, 4, 6}, {3, 8}, {2, 5, 7}
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Dynamic Multithreading
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education