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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4286Why Scaling Matters for k-MeansYou expect non-convex moon-shaped clusters plus some noise points. Would you try k-means or DBSCAN first, and why?机器学习中等essay未尝试面试订阅4287Why k-Means Struggles on Two MoonsWhy can k-means behave poorly when one feature has a much larger scale than the others?机器学习中等essay未尝试面试订阅4288Why Outliers Distort CentroidsWhy can silhouette score prefer a smaller k even when larger k lowers SSE?机器学习中等essay未尝试面试订阅4289Why Hierarchical Clustering Can Be UsefulWhy can clustering raw price levels of stocks be misleading compared with clustering normalized returns or features?机器学习中等essay未尝试面试订阅4290A Fast Sanity Check for Clustering AnswersWhy can clustering results vary a lot across random seeds even on the same dataset?机器学习中等essay未尝试面试订阅4291Weight Decay Shrinkage 1A hidden unit has pre-dropout activation 3.2. You apply inverted dropout with keep probability 0.8. If the unit is kept on this training pass, what value is forwarded after dropout?机器学习简单数值题未尝试面试订阅4292Weight Decay Shrinkage 2A 4-class classifier uses label smoothing with epsilon = 0.2, distributing epsilon uniformly across all 4 classes including the true class. If class 3 is the correct label, what smoothed target vector do you train on?机器学习简单数值题未尝试面试订阅4293Weight Decay Shrinkage 3A parameter has current value w = 2.0 and gradient g = 0.3. Using a decoupled weight-decay update w new = (1 - eta*lambda) w - eta*g with eta = 0.1 and lambda = 0.05, what is the updated weight after one step?机器学习简单数值题未尝试面试订阅4294Weight Decay Shrinkage 4A layer weight vector is w = (3, 4), so its norm is 5. You enforce max-norm regularization with cap c = 4 by rescaling only when the norm exceeds c. What vector is stored after clipping?机器学习简单数值题未尝试面试订阅