Art of DS

Appearance

Palette
Theme
Unlock $20 one time
Sign in, or create an account

Sign in to Art of DSCreate your Art of DS account

We email you a link and a six-digit code. Either one signs you in; there is no password.Enter your email. We send a link and a six-digit code to confirm it — no password to remember. The account is free.

  • You come back to this page, right where you were.
  • Already have an account? The same email simply signs you in.

By continuing you accept the Terms and the Privacy policy.

Your account

Free accountLifetime access

difficulty 2/5

Decision tree

Definition

A model that predicts by asking a sequence of yes/no questions about the features, splitting the data at each answer until it reaches a leaf holding a prediction.

Formula
Gini(t)=1−∑cpc2Entropy(t)=−∑cpclog⁡2pc\text{Gini}(t) = 1 - \sum_{c} p_c^2 \qquad \text{Entropy}(t) = -\sum_{c} p_c \log_2 p_c

Intuition

A flowchart, learned from data. Is income above 50k? If yes, is age under 30? If no, is the account older than two years? Follow the answers down to a leaf, and the leaf holds the prediction.

What makes it a model rather than a hand-written rulebook is that the questions are chosen automatically: at each node the algorithm searches every feature and every threshold for the split that best separates the classes.

Formal definition

How it works

Where it's used

Why & when

Worked example

Pitfalls

Check yourself

3 questions

The questions on this page come with access. They are graded on the server, so the answers stay there until you have given yours.

Unlock all quizzes

On the cheat sheet: Tree ensembles →

Sources

  1. scikit-learn User Guide — Decision Treesdocs · retrieved 2026-08-31https://scikit-learn.org/stable/modules/tree.html
  2. Goodfellow, Bengio, Courville. Deep Learning (2016)book · retrieved 2026-10-07https://www.deeplearningbook.org/contents/ml.html
  3. scikit-learn — DecisionTreeClassifierdocs · retrieved 2026-10-07https://scikit-learn.org/stable/modules/generated/sklearn.tree.DecisionTreeClassifier.html

Have a promo code?

A code that takes 100% off unlocks everything at once. A smaller one takes its share off the price in the payment window: enter the same code there.

Write to support

A question, a problem with access, a refund? Write to us and we answer by email.

What is it about?

Your address is used only to answer you.

Message sent

Thank you. We will reply to the address you gave, by email.

Or write to us directly

support@artofds.com

Message sent Thank you. We will reply to the address you gave, by email.

Check the email address: we need it to reply.

That is our own address. Enter yours, so the reply reaches you.

This address cannot receive email. Check it for a typo.

Write a little more: at least 10 characters.

Too many messages in a short time. Try again in a few minutes.

The message could not be sent. Please write to us directly: support@artofds.com