Questions tagged [d-separation]
7 questions
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Causality: Models, Reasoning, and Inference: Diagram Question
I am self-studying Causality: Models, Reasoning, and Inference, by Judea Pearl, and there is a question I am particularly stumped on. It reads like this:
Problem Statement: Given this fragment of a Bayesian Network, add two variables to the…
Adrian Keister
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Spirtes' example of d-separation not leading to independence in a directed cyclic graph with non-linear structural equations
In Spirtes (1995) there is an example (Fig. 4 on page 495, reproduced below) of a directed cyclic graph with non-linear structural equations in which $d$-separation of $X$ and $Y$ given $\{Z, W\}$ does not lead to conditional independence of $X$ and…
quant_dev
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Conditional independence tests not respecting d-separation
Wrong example, please refer to the second example
I just tried to model a Bayesian network composed of 3 variables as follows
$A\sim N(0,1)$
$B\sim A + N(0,1)$
$T\sim A + B + N(0,1)$
In the DAG associated to this experiment, $A$ represents a…
DaSim
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Causality: Implication of d-separation
I am confused about the following theorem about d-separations from Judea Pearl's causality textbook which reads as follow:
"If sets X and Y are d-separated by Z in a DAG G, then X is independent of Y conditional on Z in every distribution compatible…
Dan
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D separation from Spirtes paper
Hi, i've been trying to learn d-separation and came across this figure in figure 4 (page 9) of Spirtes paper and i am a bit confuse. In the paper, Spirtes says
X4 is not d-separated from X1 given its parents X2 and X3 (see figure 4).
I can see…
Alim
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d-separation and implication of its theorem
Let $(X\perp Y | Z)_P$ represents the conditional independence of X and Y separated by Z.
I am very confused about the following theorem about d-separation from Judea Pearl's text which says the following:
"For any three disjoint subsets of nodes…
Dan
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Why are $X$ and $Y$ in this graph d-separated given $Z_2$?
I am learning the book "Causality" by Judea Pearl. In Chapter 1, page 18, the d-separation examples, there is a thing I do not understand.
Consider this graph (a) on Page 18:
It says that $X$ and $Y$ are d-separated given $Z = \{Z_2\}$. However, I…
Long Luu
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