Short course for the PhD Program in Data Science – Scuola Normale Superiore
Title: Statistical Causality – Asking “What if?” to data
Lecturer: Marco Malvaldi
Fourth lecture: Let’s generalize (Friday 14 May, 9:00-11:00)
General methods for operating on DAGs
A general criterion: if no child of X can be reached with a bidirectional trajectory, we can state if X causes, Y, that is, we can always express p(Y|do(X)) as a linear combination of conditional probabilities, and the procedure can be cast into an algorithm.
Textbooks:
Causal Inference in Statistics by Pearl, Glamour, Jewell
https://www.wiley.com/en-us/Causal+Inference+in+Statistics%3A+A+Primer-p...
Causality by Pearl
https://doi.org/10.1017/CBO9780511803161
Elements of causal Inference by Janzing, Peters, Scholkopf
https://library.oapen.org/handle/20.500.12657/26040
On Identifying Causal Effects by Tian, Shpitser
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.643.533&rep=rep...
The Do-Calculus Revisited by Pearl
https://arxiv.org/abs/1210.4852
A General Identification Condition for Causal Effects by Tian, Pearl
https://www.aaai.org/Papers/AAAI/2002/AAAI02-085.pdf
DAGs: Overview and Motivation by Elwert
https://www.ssc.wisc.edu/~felwert/causality/wp-content/uploads/2013/06/2...
Graphical Causal Models by Elwert
https://link.springer.com/chapter/10.1007/978-94-007-6094-3_13
Probabilistic evaluation of counterfactual queries by Balke, Pearl
https://escholarship.org/content/qt6vh9k0cf/qt6vh9k0cf.pdf
Direct and Indirect Effects, by Pearl
https://arxiv.org/abs/1301.2300
Simpson’s paradox in Covid-19 case fatality rates: a mediation analysis of age-related causal effects, by von Kugelgen, Gresele, Scholkopf
https://arxiv.org/abs/2005.07180
About the instructor:
Marco Malvaldi is a popular Italian author of novels, short stories and scientific essays for the general public on popularizing physics-chemistry, computing, mathematics and the scientific aspects of human communication. Malvaldi holds a PhD in chemistry from the University of Pisa (2004) and, beyond a novelist and a teacher, is also an active researcher
in physical chemistry and in sport data analytics. Malvaldi is currently a research collaborator of the department of Computer Science, University of Pisa, focused on causal reasoning, within the European project “Humane-AI-Net”.
Lecture 1/6: https://datasciencephd.eu/blog/2021/05/06/marco-malvaldi-statistical-cau...
Lecture 2/6: https://datasciencephd.eu/blog/2021/05/08/marco-malvaldi-statistical-cau...
Lecture 3/6: https://datasciencephd.eu/blog/2021/05/13/marco-malvaldi-statistical-cau...
Lecture 4/6: https://datasciencephd.eu/blog/2021/05/21/marco-malvaldi-statistical-cau... -- You are here
Lecture 5/6: https://datasciencephd.eu/blog/2021/06/03/marco-malvaldi-statistical-cau...
Lecture 6/6: https://datasciencephd.eu/blog/2021/06/03/marco-malvaldi-statistical-cau...
