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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4279Within-Cluster Sum of Squares 4In a 2-component GMM with equal priors, component 1 has likelihood 0.2 at x while component 2 has likelihood 0.1, so responsibility 1 is 2/3. If component 2's likelihood rises to 0.2, what does responsibility 1 become?机器学习中等数值题未尝试面试订阅4280Within-Cluster Sum of Squares 5The Euclidean distance between (0,0) and (3,40) is computed on raw features. If the second feature is standardized by dividing it by 10 while the first is unchanged, what new distance do you get?机器学习中等数值题未尝试面试订阅4281Single Linkage Distance 1For single-linkage hierarchical clustering on 1D points 0,1,4 , which pair merges first?机器学习中等数值题未尝试面试订阅4282Complete Linkage Distance 2In DBSCAN with minPts=4, point A has 4 neighbors, point B has 3 neighbors, and B lies within eps of A. What status does B get?机器学习中等数值题未尝试面试订阅4283Average Linkage Distance 3A 2D k-means run has centroids at (0,0) and (4,0). For point x=(1,2), which centroid is closer in the assignment step?机器学习中等数值题未尝试面试订阅4284Single Linkage Distance 4In a 2-component GMM with equal priors, component densities at x are 0.12 and 0.08. Which component gets higher responsibility on the first E-step?机器学习中等数值题未尝试面试订阅4285Average Linkage Distance 5Cluster A has size 3 and mean 0, cluster B has size 1 and mean 2, cluster C has size 1 and mean 5. Under Ward linkage, which pair merges first: A-B or B-C?机器学习中等数值题未尝试面试订阅