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Amazon·Data Scientist·Technical Phone Screen·Senior

Senior
Jun 2026

Summary

Science-breadth screen for an Amazon Applied Scientist role, basically a check on whether you know your ML fundamentals cold. Two fairly meaty topics in one question, which I wasn't quite expecting to go that deep on in a single session.

Questions Asked (2)

Q1

Walk me through how a decision tree is trained, including how split points are selected, how you control tree growth or prune it, and how you prevent overfitting.

Algorithms & Data StructuresTechnical Trade-offs
Author's notes

I started with Gini vs entropy and felt pretty solid there, but when they pushed on post-pruning specifically I fumbled a bit.

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AI HintsAI Generated

Suggested Approach

Structure your answer as a logical pipeline: start with the recursive partitioning process, then explain how splits are chosen using impurity metrics, and finally cover stopping criteria and pruning. Emphasize the bias-variance trade-off and how hyperparameters like max_depth and min_samples_leaf control overfitting.

Pro tip: Mention that decision trees are greedy and prone to overfitting, so you must discuss both pre-pruning (early stopping) and post-pruning (cost-complexity pruning) with concrete hyperparameters. Also, tie it back to Amazon's scale by noting that for large datasets, approximate split finding (e.g., histogram-based) is often used.

1. Recursive Partitioning

Explain that training starts with all data at the root and recursively splits the feature space to maximize homogeneity of the target within child nodes.

2. Split Selection

Describe how candidate splits are evaluated using impurity measures (Gini, entropy for classification; MSE for regression) and the best split is chosen greedily.

3. Stopping Criteria

List pre-pruning hyperparameters like max_depth, min_samples_split, min_samples_leaf, and max_features that halt tree growth early.

4. Pruning

Explain post-pruning techniques such as cost-complexity pruning (e.g., ccp_alpha in scikit-learn) that remove branches that add little predictive power.

5. Overfitting Prevention

Summarize how the combination of pre-pruning, pruning, and ensembling (e.g., random forests, gradient boosting) mitigates overfitting and improves generalization.

Key Points to Mention

  • Greedy nature of decision tree induction and its implications
  • Impurity metrics: Gini impurity, entropy, information gain, MSE
  • Hyperparameters for pre-pruning: max_depth, min_samples_split, min_samples_leaf, max_features
  • Post-pruning: cost-complexity pruning (ccp_alpha) and reduced error pruning
  • Bias-variance trade-off: deep trees have low bias but high variance
  • Ensemble methods like random forests and gradient boosting as overfitting mitigations

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.

Q2

Name at least three clustering algorithms and explain the core idea behind each one.

Algorithms & Data StructuresData Modeling
Author's notes

Went with K-Means, DBSCAN, and hierarchical.

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AI HintsAI Generated

Suggested Approach

Select three diverse clustering algorithms (e.g., K-means, DBSCAN, Hierarchical) and for each, clearly state the core idea in one sentence, then briefly explain how it works and when it is appropriate. Keep the explanation concise and focused on the intuition, avoiding unnecessary mathematical details unless asked.

Pro tip: Tie each algorithm to a practical use case or Amazon-scale scenario (e.g., customer segmentation, anomaly detection) to show business impact and depth beyond textbook knowledge.

1. Choose algorithms strategically

Pick three algorithms that cover different clustering paradigms (centroid-based, density-based, hierarchical) to demonstrate breadth. For example: K-means, DBSCAN, and Hierarchical Clustering.

2. State the core idea succinctly

For each algorithm, give a one-sentence summary of its core idea. For K-means: partition data into K clusters by minimizing distance to centroids. For DBSCAN: group points that are closely packed together, marking outliers as noise. For Hierarchical: build a tree of clusters by merging or splitting based on distance.

3. Explain how it works briefly

Add 1-2 sentences on the mechanism: K-means iteratively assigns points and updates centroids; DBSCAN expands clusters from core points based on density; Hierarchical uses linkage criteria to merge/split clusters.

4. Mention strengths and weaknesses

Highlight when each algorithm shines and its limitations: K-means is fast but assumes spherical clusters and needs K; DBSCAN finds arbitrary shapes and handles noise but struggles with varying densities; Hierarchical provides a dendrogram but is computationally expensive.

5. Connect to real-world applications

Give a brief example of how each could be used in a data science context, especially at Amazon scale (e.g., customer segmentation, fraud detection, product categorization).

Key Points to Mention

  • K-means: centroid-based, iterative, requires specifying K, sensitive to initialization and outliers.
  • DBSCAN: density-based, no need to specify number of clusters, identifies outliers, parameters eps and minPts.
  • Hierarchical clustering: builds a tree (dendrogram), can be agglomerative or divisive, no need to pre-specify K, but O(n^2) or O(n^3) complexity.
  • Evaluation metrics: silhouette score, Davies-Bouldin index, or domain-specific validation.
  • Scalability considerations: K-means scales well with mini-batch; DBSCAN can be optimized with spatial indexes; hierarchical is limited to smaller datasets.
  • Amazon context: clustering for customer segmentation, recommendation systems, anomaly detection in logs, or product grouping.

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.