Three computers, A, B, and C, have the numerical features listed below: Feature Processor Speed (GHz)...
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Three computers, A, B, and C, have the numerical features listed below: Feature Processor Speed (GHz) Disk Size (GB) Main-Memory Size (GB) A 1.75 750 6 B 2.68 480 4 C 3.56 330 6 We may imagine these values as defining a vector for each computer; for instance, A's vector is [1.75, 750, 6]. (1) If a certain user has an expectation vector of U = [2.43, 370, 5], calculate the cosine similarity between the user vector and each computer's vector. Explain which computer will be recommended to the user. Briefly justify yourself in one or two sentences. (2) If we compute the cosine similarity between any two of the vectors, the disk size will dominate and make differences in the other components essentially invisible. Design a data preprocessing method to cope with this problem. Briefly describe the steps of your method. (3) Calculate the cosine similarity between the user vector and each computer's vector after using your method and explain why your solution is effective. Three computers, A, B, and C, have the numerical features listed below: Feature Processor Speed (GHz) Disk Size (GB) Main-Memory Size (GB) A 1.75 750 6 B 2.68 480 4 C 3.56 330 6 We may imagine these values as defining a vector for each computer; for instance, A's vector is [1.75, 750, 6]. (1) If a certain user has an expectation vector of U = [2.43, 370, 5], calculate the cosine similarity between the user vector and each computer's vector. Explain which computer will be recommended to the user. Briefly justify yourself in one or two sentences. (2) If we compute the cosine similarity between any two of the vectors, the disk size will dominate and make differences in the other components essentially invisible. Design a data preprocessing method to cope with this problem. Briefly describe the steps of your method. (3) Calculate the cosine similarity between the user vector and each computer's vector after using your method and explain why your solution is effective.
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1 To calculate the cosine similarity between two vectors you can use the following formula where uv ... View the full answer
Related Book For
Discovering Advanced Algebra An Investigative Approach
ISBN: 978-1559539845
1st edition
Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke
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