Implement decision tree from scratch

Last updated: January 19, 2026

Quick Overview

Write a clean implementation of k-means without using ML libraries.

JPMorgan
Machine Learning
Data Scientist
JPMorgan
January 19, 2026
Data Scientist
Onsite
Machine Learning
Medium

40

9

4,103 solved


Write a clean implementation of k-means without using ML libraries.

JPMorgan asks this during the Onsite to assess your depth in ML. They expect you to discuss the mathematical foundations, practical considerations, and common pitfalls when applying these techniques in production.

What the Interviewer Expects
  • Explain the mathematical foundations with clarity
  • Discuss practical implementation considerations and hyperparameter tuning
  • Analyze the technique's strengths and weaknesses for different data types
  • Demonstrate understanding of evaluation methodology and metrics
  • Connect theory to real-world applications with concrete examples
Key Topics to Cover
Ensemble methods (bagging, boosting, stacking)
Overfitting and underfitting
Class imbalance handling
Model interpretability and explainability
How to Approach This
  1. Understand the bias-variance trade-off. High training accuracy but low test accuracy signals overfitting.
  2. Choose evaluation metrics carefully based on the problem. Accuracy alone is often insufficient.
  3. Feature engineering is often more impactful than model selection.
  4. Know when to use tree-based models (tabular data) vs neural networks (unstructured data).
  5. Handle class imbalance with SMOTE, class weights, or appropriate loss functions.
Possible Follow-up Questions
  • What regularization technique would you use and why?
  • How would you explain this model's predictions to a non-technical stakeholder?
  • What are the computational costs of this approach at scale?
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Sample Answer
Core Concept: Decision Trees

Decision trees are a type of supervised learning model used for classification and regression tasks. They work by recursively splitting the data into subsets based on feature values to create a tree-l...

How It Works: Mathematical Foundations

The construction of a decision tree involves several mathematical components. The most common metrics used are Gini impurity, defined as:

Gini(D)=1i=1c(pi)2Gini(D) = 1 - \sum_{i=1}^{c} (p_i)^2

where pip_i is ...


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