Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decomposition of Total Effect with the Notion of Natural Counterfactual
  Interaction Effect   Mediation analysis serves as a crucial tool to obtain causal inference based
on directed acyclic graphs, which has been widely employed in the areas of
biomedical science, social science, epidemiology and psychology. Decomposition
of total effect provides a deep insight to fully understand the casual
contribution from each path and interaction term. Since the four-way
decomposition method was proposed to identify the mediated interaction effect
in counterfactual framework, the idea had been extended to a more sophisticated
scenario with non-sequential multiple mediators. However, the method exhibits
limitations as the causal structure contains direct causal edges between
mediators, such as inappropriate modeling of dependence and
non-identifiability. We develop the notion of natural counterfactual
interaction effect and find that the decomposition of total effect can be
consistently realized with our proposed notion. Furthermore, natural
counterfactual interaction effect overcomes the drawbacks and possesses a clear
and significant interpretation, which may largely improve the capacity of
researchers to analyze highly complex causal structures.

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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: math
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci