Practice: Matrix Completion Padding Methods Bookmark this page Practice Problems due Apr 3, 2023 15:00 PDT 1. Learn the effects of different padding methods for matrix completion. Consider the matrix below with several missing values. This matrix represents different reviews given to restaurants, where each row represents a reviewer and the columns represents the restaurant reviewed. In this matrix, the values of a, b, and c are missing. 321 3 a 5 4 1 2 5 1 4 b 5 3 3 Explore the following different options for padding the matrix to prepare the matrix for completion. Ignore the point values listed for this problem. Practice problems in this subsection will be worth a total of 2.5 points. Zero Padding 2 points possible (graded) Replace the missing values of this matrix with zeros. What is the resulting value of b in this padded matrix? 1 2 3 Why would this method of padding be considered reasonable in the context of the problem? If reviewers only review restaurants they have visited, then we might expect the missing values to be low compared to their counterparts due to self selection of restaurants If we believe that a review is primarily a function of the reviewer, then we might expect missing values to be similar to other values given by the reviewer If we believe that a review is primarily a function of the restaurant, then we might expect the missing values to be similar to other values given to the restaurant Padding with Column Means 2 points possible (graded) Replace the missing values of this matrix with the mean of the respective columns. What is the resulting value of b in this padded matrix? C 0 1 2 3 Why would this method of padding be considered reasonable in the context of the problem? If reviewers only review restaurants they have visited, then we might expect the missing values to be low compared to their counterparts due to self selection of restaurants If we believe that a review is primarily a function of the reviewer, then we might expect missing values to be similar to other values given by the reviewer If we believe that a review is primarily a function of the restaurant, then we might expect the missing values to be similar to other values given to the restaurant Submit You have used 0 of 1 attempt Padding with Row Means 2 points possible (graded) Replace the missing values of this matrix with the mean of the respective rows. What is the resulting value of b in this padded matrix? 0 1 2 3 Save Why would this method of padding be considered reasonable in the context of the problem? If reviewers only review restaurants they have visited, then we might expect the missing values to be low compared to their counterparts due to self selection of restaurants If we believe that a review is primarily a function of the reviewer, then we might expect missing values to be similar to other values given by the reviewer If we believe that a review is primarily a function of the restaurant, then we might expect the missing values to be similar to other values given to the restaurant