A Partial Correlation-Based Algorithm for Causal Structure Discovery with Continuous Variables
author:
Jean-Philippe Pellet,
IBM Zurich Research Lab
Description
We present an algorithm for causal structure discovery suited in the presence of continuous variables. We test a version based on partial correlation that is able to recover the structure of a recursive linear equations model and compare it to the well-known PC algorithm on large networks. PC is generally outperformed in run time and number of structural errors.
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| Slides | |
| 0:00 | A Partial Correlation-Based Algorithm to Causal Structure Learning |
| 0:07 | Outline pt 1 |
| 0:35 | Outline pt 2 |
| 0:37 | Causal Inference and Causal Graphs pt 1 |
| 1:17 | Causal Inference and Causal Graphs pt 2 |
| 1:32 | Usefulness of a Causal Model pt 1 |
| 2:00 | Usefulness of a Causal Model pt 2 |
| 2:12 | Usefulness of a Causal Model pt 3 |
| 2:29 | Illustration: Simpson’s Paradox pt 1 |
| 2:58 | Illustration: Simpson’s Paradox pt 2 |
| 3:43 | Properties of the Dataset pt 1 |
| 4:09 | Properties of the Dataset pt 2 |
| 4:41 | Properties of the Dataset pt 3 |
| 4:46 | Outline pt 3 |
| 4:51 | Structure Learning Algorithms pt 1 |
| 5:38 | Structure Learning Algorithms pt 2 |
| 6:13 | Distinguishing Causes from Effects pt 1 |
| 7:14 | Distinguishing Causes from Effects pt 2 |
| 7:38 | Typical Structure Learning Algorithm |
| 8:49 | Continuity pt 1 |
| 9:41 | Continuity pt 2 |
| 9:57 | Outline pt 4 |
| 10:02 | Total Conditioning (TC) Algorithm pt 1 |
| 11:32 | Total Conditioning (TC) Algorithm pt 2 |
| 11:35 | Total Conditioning (TC) Algorithm pt 3 |
| 12:07 | The Alarm Network |
| 12:48 | Results: Alarm, Errors Against Sample Size |
| 13:59 | Results: Alarm, Run Time Against Sample Size |
| 14:37 | Conclusion pt 1 |
| 15:17 | Conclusion pt 2 |
| 15:42 | Conclusion pt 3 |
| 16:06 | Thank You for Your Attention! |
| 17:57 | The Alarm Network (a) |
| 19:31 | Total Conditioning (TC) Algorithm pt 2 (a) |
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