Generalized Strucutral Causal Models

05/16/2018
by   Tineke Blom, et al.
0

Structural causal models are a popular tool to describe causal relations in systems in many fields such as economy, the social sciences, and biology. In this work, we show that these models are not flexible enough in general to give a complete causal representation of equilibrium states in dynamical systems that do not have a unique stable equilibrium independent of initial conditions. We prove that our proposed generalized structural causal models do capture the essential causal semantics that characterize these systems. We illustrate the power and flexibility of this extension on a dynamical system corresponding to a basic enzymatic reaction. We motivate our approach further by showing that it also efficiently describes the effects of interventions on functional laws such as the ideal gas law.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

12/21/2021

Reasoning About Causal Models With Infinitely Many Variables

Generalized structural equations models (GSEMs) [Peters and Halpern 2021...
01/17/2020

Causal models for dynamical systems

A probabilistic model describes a system in its observational state. In ...
12/08/2020

Robustness of Model Predictions under Extension

Often, mathematical models of the real world are simplified representati...
12/15/2016

Dynamical Kinds and their Discovery

We demonstrate the possibility of classifying causal systems into kinds ...
09/18/2019

Causal Modeling for Fairness in Dynamical Systems

In this work, we present causal directed acyclic graphs (DAGs) as a unif...
01/28/2021

Causality and independence in perfectly adapted dynamical systems

Perfect adaptation in a dynamical system is the phenomenon that one or m...
05/04/2020

A Non-equilibrium Thermodynamic Framework of Consciousness

In this paper, we take a brief look at the advantages and disadvantages ...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.