Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deriving Bounds and Inequality Constraints Using LogicalRelations Among
  Counterfactuals   Causal parameters may not be point identified in the presence of unobserved
confounding. However, information about non-identified parameters, in the form
of bounds, may still be recovered from the observed data in some cases. We
develop a new general method for obtaining bounds on causal parameters using
rules of probability and restrictions on counterfactuals implied by causal
graphical models. We additionally provide inequality constraints on functionals
of the observed data law implied by such causal models. Our approach is
motivated by the observation that logical relations between identified and
non-identified counterfactual events often yield information about
non-identified events. We show that this approach is powerful enough to recover
known sharp bounds and tight inequality constraints, and to derive novel bounds
and constraints.

10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom