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Causal Inference and Discovery in Python

You're reading from  Causal Inference and Discovery in Python

Product type Book
Published in May 2023
Publisher Packt
ISBN-13 9781804612989
Pages 456 pages
Edition 1st Edition
Languages
Author (1):
Aleksander Molak Aleksander Molak
Profile icon Aleksander Molak

Table of Contents (21) Chapters

Preface 1. Part 1: Causality – an Introduction
2. Chapter 1: Causality – Hey, We Have Machine Learning, So Why Even Bother? 3. Chapter 2: Judea Pearl and the Ladder of Causation 4. Chapter 3: Regression, Observations, and Interventions 5. Chapter 4: Graphical Models 6. Chapter 5: Forks, Chains, and Immoralities 7. Part 2: Causal Inference
8. Chapter 6: Nodes, Edges, and Statistical (In)dependence 9. Chapter 7: The Four-Step Process of Causal Inference 10. Chapter 8: Causal Models – Assumptions and Challenges 11. Chapter 9: Causal Inference and Machine Learning – from Matching to Meta-Learners 12. Chapter 10: Causal Inference and Machine Learning – Advanced Estimators, Experiments, Evaluations, and More 13. Chapter 11: Causal Inference and Machine Learning – Deep Learning, NLP, and Beyond 14. Part 3: Causal Discovery
15. Chapter 12: Can I Have a Causal Graph, Please? 16. Chapter 13: Causal Discovery and Machine Learning – from Assumptions to Applications 17. Chapter 14: Causal Discovery and Machine Learning – Advanced Deep Learning and Beyond 18. Chapter 15: Epilogue 19. Index 20. Other Books You May Enjoy

…and more

In this short section, we’ll introduce and briefly discuss three assumptions: the modularity assumption, stable unit treatment value assumption (SUTVA), and the consistency assumption.

Modularity

Imagine that you’re standing on the rooftop of a tall building and you’re dropping two apples. Halfway down, there’s a net that catches one of the apples.

The net performs an intervention for one of the apples, yet the second apple remains unaffected.

That’s the essence of the modularity assumption, also known as the independent mechanisms assumption.

Speaking more formally, if we perform an intervention on a single variable <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:m="http://schemas.openxmlformats.org/officeDocument/2006/math"><mml:mi>X</mml:mi></mml:math>, the structural equation for this variable will be changed (for example, set to a constant), yet all other structural equations in our system of interest will remain untouched.

Modularity assumption is central to do-calculus as it’s at the core of the logic of interventions.

Let’s see...

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