Understanding the Math Behind Gradient Boosting: A Step-by-Step Guide
Last Updated on October 5, 2024 by Editorial Team
Author(s): Souradip Pal
Originally published on Towards AI.

This member-only story is on us. Upgrade to access all of Medium.
Imagine you’re trying to predict housing prices based on various factors, such as location, size, or the number of bedrooms. The challenge? The data you’re working with is complex, non-linear, and noisy. Machine learning is your go-to solution, but what if even a simple regression can’t quite crack the code? Enter gradient boosting, a clever method that uses a series of weak models (often decision trees) to form a strong prediction engine. In this blog, we’ll unravel the math behind gradient boosting and how it works to capture these complex relationships.
At its core, machine learning (ML) is all about teaching machines to learn from data. It’s a process where algorithms find patterns and relationships between input (features) and output (target) data. For example, if you’re predicting housing prices, the inputs could be square footage, location, and number of bedrooms, and the output would be the predicted price.
ML models work by mapping this input to output through some mathematical function. But, depending on how complex the data is, this can be quite tricky.
Let’s start simple. If the relationship between your inputs and output is linear, we can capture it using… Read the full blog for free on Medium.
Join thousands of data leaders on the AI newsletter. Join over 80,000 subscribers and keep up to date with the latest developments in AI. From research to projects and ideas. If you are building an AI startup, an AI-related product, or a service, we invite you to consider becoming a sponsor.
Published via Towards AI
Towards AI Academy
We Build Enterprise-Grade AI. We'll Teach You to Master It Too.
15 engineers. 100,000+ students. Towards AI Academy teaches what actually survives production.
Start free — no commitment:
→ 6-Day Agentic AI Engineering Email Guide — one practical lesson per day
→ Agents Architecture Cheatsheet — 3 years of architecture decisions in 6 pages
Our courses:
→ AI Engineering Certification — 90+ lessons from project selection to deployed product. The most comprehensive practical LLM course out there.
→ Agent Engineering Course — Hands on with production agent architectures, memory, routing, and eval frameworks — built from real enterprise engagements.
→ AI for Work — Understand, evaluate, and apply AI for complex work tasks.
Note: Article content contains the views of the contributing authors and not Towards AI.