Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Framework for Causal Discovery in non-intervenable systems   Many frameworks exist to infer cause and effect relations in complex
nonlinear systems but a complete theory is lacking. A new framework is
presented that is fully nonlinear, provides a complete information theoretic
disentanglement of causal processes, allows for nonlinear interactions between
causes, identifies the causal strength of missing or unknown processes, and can
analyze systems that cannot be represented on Directed Acyclic Graphs. The
basic building blocks are information theoretic measures such as (conditional)
mutual information and a new concept called certainty that monotonically
increases with the information available about the target process. The
framework is presented in detail and compared with other existing frameworks,
and the treatment of confounders is discussed. While there are systems with
structures that the framework cannot disentangle, it is argued that any causal
framework that is based on integrated quantities will miss out potentially
important information of the underlying probability density functions. The
framework is tested on several highly simplified stochastic processes to
demonstrate how blocking and gateways are handled, and on the chaotic Lorentz
1963 system. We show that the framework provides information on the local
dynamics, but also reveals information on the larger scale structure of the
underlying attractor. Furthermore, by applying it to real observations related
to the El-Nino-Southern-Oscillation system we demonstrate its power and
advantage over other methodologies.

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The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol