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rlabbe/kalman-and-bayesian-filters-in-python — explained in plain English

Analysis updated 2026-06-21

18,963Jupyter NotebookAudience · researcherComplexity · 3/5Setup · easy

tl;dr

An interactive Python textbook that teaches Kalman and Bayesian filters, the math behind GPS smoothing, drone positioning, and sensor fusion, through runnable Jupyter Notebook code you can tweak and experiment with.

vibe map

mindmap
  root((Kalman Filters))
    What it does
      Interactive textbook
      Runnable code examples
      Sensor noise removal
    Topics Covered
      Standard Kalman filter
      Extended Kalman filter
      Particle filters
    Use Cases
      Drone positioning
      GPS smoothing
      Robot tracking
    Audience
      Robotics engineers
      Data scientists
      Students

Code map

Detail Auto

An interactive map of this repo's files and how they connect — its source is parsed live in your browser. Click Visualize to build it.

filefunction / class

what do people make with this?

VIBE 1

Learn how to filter noisy GPS or sensor data for a robotics or drone project through hands-on examples.

VIBE 2

Add sensor fusion to an IoT device to produce accurate position estimates despite noisy readings.

VIBE 3

Build a real-time object tracker in a computer vision project using Kalman filter position predictions.

VIBE 4

Study particle filters and unscented Kalman filters with working code rather than dense academic proofs.

what's the stack?

PythonJupyter NotebookNumPy

how it stacks up fr

rlabbe/kalman-and-bayesian-filters-in-pythontloen/alpaca-loranirdiamant/agents-towards-production
Stars18,96318,93419,124
LanguageJupyter NotebookJupyter NotebookJupyter Notebook
Setup difficultyeasyhardmoderate
Complexity3/54/54/5
Audienceresearcherresearcherdeveloper

Figures from each repo's GitHub metadata at analysis time.

how do i run it?

Difficulty · easy time til it works · 5min
The explanation does not specify the license terms.

in plain english

This is an interactive textbook that teaches you how Kalman filters and Bayesian filters work, using Python code you can run right in your browser. Kalman filters solve a very practical problem: sensors are noisy, and the real world is unpredictable, so how do you get the best possible estimate of what's actually happening? Think of a GPS that gives slightly different altitude readings each time you pass the same point, or a drone that needs to know its exact position despite wind gusts and sensor errors. Kalman filters blend imperfect sensor readings with a model of how a system behaves to produce the most accurate estimate possible. The book covers the standard Kalman filter plus more advanced variants, extended Kalman filters, unscented Kalman filters, and particle filters, all explained with plain language and working code rather than dense academic math. The goal is to build intuition through hands-on experimentation, not just formal proofs. You can tweak the code, run the simulations, and see exactly how changing parameters changes the results. You would use this when you're working on any project that involves tracking something over time using noisy sensor data: robotics, drones, computer vision tracking, IoT devices, or anything dealing with GPS or motion. It's written in Python, presented as Jupyter Notebooks (interactive code documents), and all exercises include solutions. Used internally at SpaceX to teach state estimation concepts.

prompts (copy fr)

prompt 1
Using the concepts from Kalman-and-Bayesian-Filters-in-Python, write Python code to build a Kalman filter that smooths noisy GPS altitude readings from a drone.
prompt 2
I'm working through the unscented Kalman filter chapter. Help me apply it to tracking a moving robot's position from noisy encoder readings.
prompt 3
Help me implement a particle filter in Python to fuse accelerometer and GPS data for a better position estimate.
prompt 4
How do I set the Q and R noise matrices in a Kalman filter, and what happens when I get them wrong?
prompt 5
Show me how to run the interactive Jupyter Notebooks from this book locally, what do I install first?

Frequently asked questions

what is kalman-and-bayesian-filters-in-python fr?

An interactive Python textbook that teaches Kalman and Bayesian filters, the math behind GPS smoothing, drone positioning, and sensor fusion, through runnable Jupyter Notebook code you can tweak and experiment with.

What language is kalman-and-bayesian-filters-in-python written in?

Mainly Jupyter Notebook. The stack also includes Python, Jupyter Notebook, NumPy.

What license does kalman-and-bayesian-filters-in-python use?

The explanation does not specify the license terms.

How hard is kalman-and-bayesian-filters-in-python to set up?

Setup difficulty is rated easy, with roughly 5min to a first successful run.

Who is kalman-and-bayesian-filters-in-python for?

Mainly researcher.

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