V-structure - Revision history

IssaRice at 00:26, 15 January 2019

2019-01-15T00:26:22Z

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	<references/>		<references/>

			[[Category:Causal inference]]

IssaRice at 00:36, 22 September 2018

2018-09-22T00:36:44Z

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	In graphical models, a '''v-structure''' is a set of three nodes in a graph such that there are two converging arrows and the tails of the arrows are not connected by an arrow.<ref>Judea Pearl. ''Causality''. p. 19.</ref><ref>[https://ermongroup.github.io/cs228-notes/representation/directed/ "Bayesian networks"]. Retrieved September 21, 2018.</ref> For example, <math>X \rightarrow Z \leftarrow Y</math> is a v-structure.		In graphical models, a '''v-structure''' is a set of three nodes in a graph such that there are two converging arrows and the tails of the arrows are not connected by an arrow.<ref>Judea Pearl. ''Causality''. p. 19.</ref><ref>[https://ermongroup.github.io/cs228-notes/representation/directed/ "Bayesian networks"]. Retrieved September 21, 2018.</ref> For example, <math>X \rightarrow Z \leftarrow Y</math> is a v-structure because the arrows converge at <math>Z</math> and the nodes <math>X</math> and <math>Y</math> are not directly connected.

	The middle node in a v-structure is called a [[collider]]. (?)		The middle node in a v-structure is called a [[collider]]. (?)

IssaRice at 00:34, 22 September 2018

2018-09-22T00:34:33Z

← Older revision		Revision as of 00:34, 22 September 2018
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	The middle node in a v-structure is called a [[collider]]. (?)		The middle node in a v-structure is called a [[collider]]. (?)

	Some authors seem to distinguish between a v-structure and an immoral v-structure. In this case, "v-structure" seems to only mean that there is a collision, and the "immoral" means the parents are not directly connected.<ref>Su-In Lee. [https://courses.cs.washington.edu/courses/cse515/11sp/class2-bayesnet.pdf "Bayesian Network Representation"]. University of Washington CSE 515, Statistical Methods, Spring 2011. p. 14 (slide 27). March 30, 2011. Retrieved September 21, 2018.</ref>		Some authors seem to distinguish between a v-structure and an immoral v-structure. In this case, "v-structure" seems to only mean that there is a collision, and the "immoral" means the parents are not directly connected.<ref>Su-In Lee. [https://courses.cs.washington.edu/courses/cse515/11sp/class2-bayesnet.pdf "Bayesian Network Representation"]. University of Washington CSE 515, Statistical Methods, Spring 2011. p. 14 (slide 27). March 30, 2011. Retrieved September 21, 2018.</ref><ref>Dave Essary. [https://people.cs.pitt.edu/~milos/courses/cs3710/Lectures/Class4.pdf "Bayesian Networks Representation"]. p. 15. Retrieved September 21, 2018.</ref>

	==Terminology==		==Terminology==

IssaRice at 00:32, 22 September 2018

2018-09-22T00:32:42Z

← Older revision		Revision as of 00:32, 22 September 2018
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	In graphical models, a '''v-structure''' is a set of three nodes in a graph such that there are two converging arrows and the tails of the arrows are not connected by an arrow.<ref>Judea Pearl. ''Causality''. p. 19.</ref><ref>https://ermongroup.github.io/cs228-notes/representation/directed/</ref> For example, <math>X \rightarrow Z \leftarrow Y</math> is a v-structure.		In graphical models, a '''v-structure''' is a set of three nodes in a graph such that there are two converging arrows and the tails of the arrows are not connected by an arrow.<ref>Judea Pearl. ''Causality''. p. 19.</ref><ref>[https://ermongroup.github.io/cs228-notes/representation/directed/ "Bayesian networks"]. Retrieved September 21, 2018.</ref> For example, <math>X \rightarrow Z \leftarrow Y</math> is a v-structure.

	The middle node in a v-structure is called a [[collider]]. (?)		The middle node in a v-structure is called a [[collider]]. (?)

IssaRice: Created page with "In graphical models, a '''v-structure''' is a set of three nodes in a graph such that there are two converging arrows and the tails of the arrows are not connected by an arrow..."

2018-09-22T00:31:44Z

Created page with "In graphical models, a '''v-structure''' is a set of three nodes in a graph such that there are two converging arrows and the tails of the arrows are not connected by an arrow..."

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In graphical models, a '''v-structure''' is a set of three nodes in a graph such that there are two converging arrows and the tails of the arrows are not connected by an arrow.<ref>Judea Pearl. ''Causality''. p. 19.</ref><ref>https://ermongroup.github.io/cs228-notes/representation/directed/</ref> For example, <math>X \rightarrow Z \leftarrow Y</math> is a v-structure.

The middle node in a v-structure is called a [[collider]]. (?)

Some authors seem to distinguish between a v-structure and an immoral v-structure. In this case, "v-structure" seems to only mean that there is a collision, and the "immoral" means the parents are not directly connected.<ref>Su-In Lee. [https://courses.cs.washington.edu/courses/cse515/11sp/class2-bayesnet.pdf "Bayesian Network Representation"]. University of Washington CSE 515, Statistical Methods, Spring 2011. p. 14 (slide 27). March 30, 2011. Retrieved September 21, 2018.</ref>

==Terminology==

why is this thing called a v-structure? because it looks like a letter V if the two parents are drawn above the common child?

==References==

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