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4258PCA Whitening Coordinates 3A whitened PCA transform scales raw PC scores by dividing by the square roots of eigenvalues 9 and 4. If the raw scores are (6,4), what are the whitened scores?机器学习中等数值题未尝试面试订阅4259PCA Whitening Coordinates 4A centered point is x=(5,0), and the first PC loading is v=(0.6,0.8). What point do you get by projecting x onto PC1 alone?机器学习中等数值题未尝试面试订阅4261Why Standardization Can Change PCA DramaticallyWhy is standardizing features often important before PCA when the raw variables use very different units?机器学习中等essay未尝试面试订阅4262Why Whitening Can Amplify NoiseWhy can aggressive whitening make downstream models numerically noisier?机器学习中等essay未尝试面试订阅4263Why PCA Helps Before Some ModelsWhy does flipping the sign of a principal-component loading vector not change the PCA solution in substance?机器学习中等essay未尝试面试订阅4264When PCA Can HurtWhen can PCA actually hurt a predictive pipeline?机器学习中等essay未尝试面试订阅4265A Fast Sanity Check for PCA QuestionsWhy might the first principal component be poor for predicting a label even though it explains the most variance?机器学习中等essay未尝试面试订阅4266k-Means Assignment Step 1A point in clustering has average within-cluster distance a=2 and smallest average distance to another cluster b=5. What is its silhouette score?机器学习简单数值题未尝试面试订阅4267k-Means Assignment Step 2A 1D cluster currently contains points [1,2,7]. What centroid does k-means assign to that cluster in the update step?机器学习简单数值题未尝试面试订阅4268k-Means Assignment Step 3A 2D cluster contains points (0,0), (2,4), and (4,2). What centroid does k-means assign to that cluster?机器学习简单数值题未尝试面试订阅4269k-Means Assignment Step 4A 2-component GMM has priors 0.6 and 0.4. At point x, the component likelihoods are 0.1 and 0.3. What posterior responsibility does component 2 get?机器学习简单数值题未尝试面试订阅4270k-Means Assignment Step 5A DBSCAN run uses minPts=5, counting the point itself. A point has 5 neighbors within eps. Is it a core point?机器学习简单数值题未尝试面试订阅4271k-Means Centroid Update 1In 1D, clusters A= 0,2 and B= 5,9 . What is their average-linkage distance?机器学习简单数值题未尝试面试订阅4272k-Means Centroid Update 2A 1D k-means step has current centroids 0 and 10, and the assigned points are 1,2 to the first cluster and 9 to the second. What are the updated centroids?机器学习简单数值题未尝试面试订阅4273k-Means Centroid Update 3A cluster contains points [1,2,4]. What is its within-cluster SSE around the cluster mean?机器学习简单数值题未尝试面试订阅4274k-Means Centroid Update 4Under Ward linkage, what merge cost increase do two singleton clusters at positions 1 and 4 have in 1D?机器学习简单数值题未尝试面试订阅4275k-Means Centroid Update 5Clusters A= 1,4 and B= 6,8 are compared under complete linkage in 1D. What distance is used?机器学习简单数值题未尝试面试订阅4276Within-Cluster Sum of Squares 1A DBSCAN point has 4 neighbors within eps when minPts=5, so it is not core. If eps is increased and the neighborhood count becomes 6, what status change occurs?机器学习中等数值题未尝试面试订阅4277Within-Cluster Sum of Squares 2A 1D cluster has members [0,2,4], so its centroid is 2. If an outlier 10 is added to the cluster, by how much does the centroid shift?机器学习中等数值题未尝试面试订阅4278Within-Cluster Sum of Squares 3A point has silhouette inputs a=3 and b=5. If b falls to 4 while a stays fixed, how much does the silhouette score decrease?机器学习中等数值题未尝试面试订阅