Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H\"older Bounds for Sensitivity Analysis in Causal Reasoning   We examine interval estimation of the effect of a treatment T on an outcome Y
given the existence of an unobserved confounder U. Using H\"older's inequality,
we derive a set of bounds on the confounding bias |E[Y|T=t]-E[Y|do(T=t)]| based
on the degree of unmeasured confounding (i.e., the strength of the connection
U->T, and the strength of U->Y). These bounds are tight either when U is
independent of T or when U is independent of Y given T (when there is no
unobserved confounding). We focus on a special case of this bound depending on
the total variation distance between the distributions p(U) and p(U|T=t), as
well as the maximum (over all possible values of U) deviation of the
conditional expected outcome E[Y|U=u,T=t] from the average expected outcome
E[Y|T=t]. We discuss possible calibration strategies for this bound to get
interval estimates for treatment effects, and experimentally validate the bound
using synthetic and semi-synthetic datasets.

27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess