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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