Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditional Dependence via Shannon Capacity: Axioms, Estimators and
  Applications   We conduct an axiomatic study of the problem of estimating the strength of a
known causal relationship between a pair of variables. We propose that an
estimate of causal strength should be based on the conditional distribution of
the effect given the cause (and not on the driving distribution of the cause),
and study dependence measures on conditional distributions. Shannon capacity,
appropriately regularized, emerges as a natural measure under these axioms. We
examine the problem of calculating Shannon capacity from the observed samples
and propose a novel fixed-$k$ nearest neighbor estimator, and demonstrate its
consistency. Finally, we demonstrate an application to single-cell
flow-cytometry, where the proposed estimators significantly reduce sample
complexity.

33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci