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Inflation: Python implementations of the Inflation Technique for causal inference

Authors: Emanuel-Cristian Boghiu; Elie Wolfe; Alejandro Pozas-Kerstjens;

Inflation: Python implementations of the Inflation Technique for causal inference

Abstract

Inflation is a package, written in Python, that implements inflation algorithms for causal inference. In causal inference, the main task is to determine which causal relationships can exist between different observed random variables. Inflation algorithms are a class of techniques designed to solve the causal compatibility problem, that is, test compatibility between some observed data and a given causal relationship. This package implements the inflation technique for classical, quantum, and post-quantum causal compatibility. By relaxing independence constraints to symmetries on larger graphs, it develops hierarchies of relaxations of the causal compatibility problem that can be solved using linear and semidefinite programming. For details, see Wolfe et al. “The inflation technique for causal inference with latent variables.” Journal of Causal Inference 7 (2), 2017-0020 (2019), Wolfe et al. “Quantum inflation: A general approach to quantum causal compatibility.” Physical Review X 11 (2), 021043 (2021), and references therein. Examples of use of this package include: Causal compatibility with classical, quantum, non-signaling, and hybrid models. Feasibility problems and extraction of certificates. Optimization of Bell operators. Optimization over classical distributions. Handling of bilayer (i.e., networks) and multilayer causal structures. Standard Navascues-Pironio-Acin hierarchy. Scenarios with partial information. Possibilistic compatibility with a causal network. Estimation of do-conditionals and causal strengths.

Keywords

causality, quantum correlations, quantum nonlocality, causal inference, quantum networks

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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