Automated Identification of Causal Moderators in Time-Series Data

Causal inference is often taken to mean finding links between individual variables. However in many real-world cases, such as in biological systems, relationships are more complex, with groups of factors needed to produce an effect, or some factors only modifying other relationships rather than producing outcomes alone. For instance, weight may alter the efficacy of a drug without causing side effects itself. Such moderating factors may change the timing, intensity, or probability of a causal relationship. Distinguishing moderators from genuine causes can lead to more effective medical interventions, and better strategies for bringing about a desired effect, since a moderator alone is ineffective. However, there have not yet been algorithms to automatically infer moderators in a large-scale automated way, and they cannot be easily read off from causal graphs. We introduce a set of temporal logic rules to automatically identify the asymmetric roles of causes and moderators in a computationally efficient manner. Experiments on simulated data demonstrate that even in challenging cases we can find moderators and avoid confounding, and on real neurological ICU data we show how the approach can find more descriptive and meaningful relationships than the state of the art.

[1]  Shah Atiqur Rahman,et al.  Combining Fourier and lagged k-nearest neighbor imputation for biomedical time series data , 2015, J. Biomed. Informatics.

[2]  J. Ware,et al.  Detecting Moderator Effects Using Subgroup Analyses , 2013, Prevention Science.

[3]  Stefan Wager,et al.  Estimation and Inference of Heterogeneous Treatment Effects using Random Forests , 2015, Journal of the American Statistical Association.

[4]  Samantha Kleinberg,et al.  A Logic for Causal Inference in Time Series with Discrete and Continuous Variables , 2011, IJCAI.

[5]  R. Willke,et al.  From concepts, theory, and evidence of heterogeneity of treatment effects to methodological approaches: a primer , 2012, BMC Medical Research Methodology.

[6]  Shah Atiqur Rahman,et al.  Causal Structure of Brain Physiology after Brain Injury from Subarachnoid Hemorrhage , 2016, PloS one.

[7]  D. Green,et al.  Modeling Heterogeneous Treatment Effects in Survey Experiments with Bayesian Additive Regression Trees , 2012 .

[8]  Daniel Almirall,et al.  Structural Nested Mean Models for Assessing Time‐Varying Effect Moderation , 2010, Biometrics.

[9]  Michael Eichler,et al.  Causal Reasoning in Graphical Time Series Models , 2007, UAI.

[10]  Samantha Kleinberg,et al.  Causality, Probability, and Time , 2012 .

[11]  James M. Robins,et al.  Marginal Structural Models versus Structural nested Models as Tools for Causal inference , 2000 .

[12]  H. Kraemer,et al.  Mediators and moderators of treatment effects in randomized clinical trials. , 2002, Archives of general psychiatry.

[13]  J. Pearl Detecting Latent Heterogeneity , 2013, Probabilistic and Causal Inference.

[14]  T. VanderWeele On the Distinction Between Interaction and Effect Modification , 2009, Epidemiology.

[15]  Richard K. Crump,et al.  Nonparametric Tests for Treatment Effect Heterogeneity , 2006, The Review of Economics and Statistics.

[16]  D. A. Kenny,et al.  The moderator-mediator variable distinction in social psychological research: conceptual, strategic, and statistical considerations. , 1986, Journal of personality and social psychology.

[17]  Myoung‐jae Lee Non‐parametric tests for distributional treatment effect for randomly censored responses , 2009 .

[18]  Xin Yan,et al.  Facilitating score and causal inference trees for large observational studies , 2012, J. Mach. Learn. Res..

[19]  George Hripcsak,et al.  Nonconvulsive seizures after subarachnoid hemorrhage: Multimodal detection and outcomes , 2013, Annals of neurology.

[20]  N M Laird,et al.  Correcting for non-compliance in randomized trials: an application to the ATBC Study. , 1999, Statistics in medicine.

[21]  A. Bauman,et al.  Toward a better understanding of the influences on physical activity: the role of determinants, correlates, causal variables, mediators, moderators, and confounders. , 2002, American journal of preventive medicine.

[22]  Marek J. Druzdzel,et al.  Learning Why Things Change: The Difference-Based Causality Learner , 2010, UAI.

[23]  Richard Scheines,et al.  Learning the Structure of Linear Latent Variable Models , 2006, J. Mach. Learn. Res..

[24]  Aapo Hyvärinen,et al.  A unified probabilistic model for learning latent factors and their connectivities from high-dimensional data , 2018, UAI.

[25]  J. Pearl Causality: Models, Reasoning and Inference , 2000 .

[26]  P. Spirtes,et al.  Causation, prediction, and search , 1993 .

[27]  J. Robins,et al.  Four Types of Effect Modification: A Classification Based on Directed Acyclic Graphs , 2007, Epidemiology.

[28]  Le Song,et al.  Time-Varying Dynamic Bayesian Networks , 2009, NIPS.

[29]  Erich Kummerfeld,et al.  Causal Clustering for 1-Factor Measurement Models , 2016, KDD.

[30]  Martin Gebser,et al.  Learning Boolean logic models of signaling networks with ASP , 2015, Theor. Comput. Sci..

[31]  David P. MacKinnon,et al.  A General Model for Testing Mediation and Moderation Effects , 2009, Prevention Science.