Abstract

<p>The quest to understand cause and effect relationships is at the basis of the scientific enterprise. In cases where the classical approach of controlled experimentation is not feasible, methods from the modern framework of causal discovery provide an alternative way to learn about cause and effect from observational, i.e., non-experimental data. Recent years have seen an increasing interest in these methods from various scientific fields, for example in the climate and Earth system sciences (where large scale experimentation is often infeasible) as well as machine learning and artificial intelligence (where models based on an understanding of cause and effect promise to be more robust under changing conditions.)</p><p>In this contribution we present the novel LPCMCI algorithm for learning the cause and effect relationships in multivariate time series. The algorithm is specifically adapted to several challenges that are prevalent in time series considered in the climate and Earth system sciences, for example strong autocorrelations, combinations of time lagged and contemporaneous causal relationships, as well as nonlinearities. It moreover allows for the existence of latent confounders, i.e., it allows for unobserved common causes. While this complication is faced in most realistic scenarios, especially when investigating a system as complex as Earth's climate system, it is nevertheless assumed away in many existing algorithms. We demonstrate applications of LPCMCI to examples from a climate context and compare its performance to competing methods.</p><p>Related reference:<br>Gerhardus, Andreas and Runge, Jakob (2020). High-recall causal discovery for autocorrelated time series with latent confounders. In Advances in Neural Information Processing Systems 33 pre-proceedings (NeurIPS 2020). </p>

Highlights

  • Motivation: Complex dynamics of the climate systemSystem of interest: X1 X2X3 Goal: Contribute to a better understanding of Earth’s complex weather and climate system.Climate Informatics Group @DLR JenaClimate Informatics in general: Use modern tools of machine learning, statistics, and data science to aid climate and Earth system sciences.Focus of the Climate Informatics Group @DLR Jena∗: Development of methods Provisioning of open-source software implementations† for application by domain scientists Methods based on the modern causal inference framework∗www.climateinformaticslab.com †https://github.com/jakobrunge/tigramite Causal discoveryCausal inference and causal discoveryCausal inference: Defines notions of cause and effect in a mathematical framework. Casts causal questions within this framework. Specifies assumptions and develops methods for answering these questions

  • Scientific understanding: Knowledge of cause and effect relationships is an essential part of the physical understanding of natural processes

  • Enabling assumptions: 1. Data is generated by a structural causal model1

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Summary

Introduction

X3 Goal: Contribute to a better understanding of Earth’s complex weather and climate system. Causal inference: Defines notions of cause and effect in a mathematical framework. Specifies assumptions and develops methods for answering these questions. Important sub-field: Causal discovery Specifies assumptions and develops methods for learning cause and effect relationships from observational data. Correlation is not causation: Statistical dependencies in observational data do not by themselves imply causal relationships. A theory of causality: Framework of causal inference, largely developed and popularized by Judea Pearl, Peter Spirtes, Clark Glymour, Richard Scheines. Scientific understanding: Knowledge of cause and effect relationships is an essential part of the physical understanding of natural processes. Evaluation the effect of actions: Questions of the type What will happen if do ...? Independence-based causal discovery: Learn causal graph from statistical tests of (conditional) independencies* in observational data. Enabling assumptions: 1. Data is generated by a (unknown) structural causal model

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