Causal analysis, Correlation-Response and Dynamic cavity

Abstract

The purpose of this note is to point out analogies between causal analysis in statistics and the correlation-response theory in statistical physics. It is further shown that for some systems the dynamic cavity offers a way to compute the stationary state of a non- equilibrium process effectively, which could then be taken an alternative starting point of causal analysis.

10 pages, 3 figures

References in corpus (9)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Fluctuation-Dissipation: Response Theory in Statistical Physics
• Macroscopic fluctuation theory
• Dynamic message-passing equations for models with unidirectional dynamics
• The fluctuation-dissipation relation: how does one compare correlation functions and responses?
• The zero-patient problem with noisy observations
• Parallel dynamics of disordered Ising spin systems on finitely connected directed random graphs with arbitrary degree distributions
• The Do-Calculus Revisited
• Perturbative large deviation analysis of non-equilibrium dynamics

Cited by in corpus (6)

• Understanding causation via correlations and linear response theory
• A Cavity Master Equation for the continuous time dynamics of discrete spins models
• Extracting causation from millennial-scale climate fluctuations in the last 800 kyr
• A data-driven framework for dimensionality reduction and causal inference in climate fields
• Conceptual and practical approaches for investigating irreversible processes
• The Many Faces of Fluctuation-Dissipation Relations Out of Equilibrium