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A Meta-Transfer Objective for Learning to Disentangle Causal Mechanisms (1901.10912v2)

Published 30 Jan 2019 in cs.LG and stat.ML

Abstract: We propose to meta-learn causal structures based on how fast a learner adapts to new distributions arising from sparse distributional changes, e.g. due to interventions, actions of agents and other sources of non-stationarities. We show that under this assumption, the correct causal structural choices lead to faster adaptation to modified distributions because the changes are concentrated in one or just a few mechanisms when the learned knowledge is modularized appropriately. This leads to sparse expected gradients and a lower effective number of degrees of freedom needing to be relearned while adapting to the change. It motivates using the speed of adaptation to a modified distribution as a meta-learning objective. We demonstrate how this can be used to determine the cause-effect relationship between two observed variables. The distributional changes do not need to correspond to standard interventions (clamping a variable), and the learner has no direct knowledge of these interventions. We show that causal structures can be parameterized via continuous variables and learned end-to-end. We then explore how these ideas could be used to also learn an encoder that would map low-level observed variables to unobserved causal variables leading to faster adaptation out-of-distribution, learning a representation space where one can satisfy the assumptions of independent mechanisms and of small and sparse changes in these mechanisms due to actions and non-stationarities.

Citations (324)

Summary

  • The paper introduces a meta-transfer objective that uses adaptation speed to reveal underlying causal structures.
  • It validates the approach through experiments on bivariate models, parameterized causal graphs, and representation learning scenarios.
  • Results indicate that modularized causal models reduce sample complexity and enhance transfer learning efficiency.

A Meta-Transfer Objective for Learning to Disentangle Causal Mechanisms

The paper "A Meta-Transfer Objective for Learning to Disentangle Causal Mechanisms" proposes a meta-learning framework to uncover causal structures by leveraging distributional changes caused by interventions, actions, and other non-stationarities. The authors postulate that correct modularization of causal mechanisms promotes faster adaptation to altered distributions, as changes in distribution typically affect only a few mechanisms. By concentrating the changes, the paper suggests the utility of using the adaptation speed as a meta-learning objective to recover causal structures.

Core Concepts and Methodology

The central thesis of the paper rests on the premise of sparse changes in appropriately modularized knowledge systems. When a causal model correctly represents the independent mechanisms underlying data distributions, transfer learning is optimized, requiring minimal relearning when adapting to new distributions. The authors introduce a meta-transfer learning objective that measures regret, defined as the speed of adaptation to modified distributions, and use it to discern causal relationships between observed variables.

The methodology comprises various experiments including:

  • Simple Bivariate Models: Address the two-variable problem to determine causal directionality using controlled interventions.
  • Parameterization of Causal Structures: Explore continuous parameterization of structural graphs for complex causal models.
  • Representation Learning: Address scenarios where true causal variables are unobserved and propose learning representations that align with causal variables.

Experimental Verification and Results

The experiments verify that models incorporating a genuine causal structure adapt more efficiently to distribution changes, showcasing smaller gradients on unchanged mechanisms. A parameter counting argument further underscores the sample complexity reduction when using correct causal models. For simple bivariate setups, it has been shown that making the correct choice of a causal direction results in faster adaptation.

In continuous scenarios, models with mixture density networks and Gaussian mixtures were employed, demonstrating effective causal interpretation recovery. Furthermore, experiments in learning encoders indicate that the correct representation of causal graphs and variables can be learned, which disentangles the raw observed data to optimize transfer objectives efficiently.

Implications and Future Work

The implications of the research are substantial for AI systems' robustness under distributional shifts, as correct causal disentanglement potentially reduces sample complexity and enhances generalization capabilities. The research encourages employing non-stationarities, often deemed nuisances, as intrinsic signals for optimizing representation learning and causal inference.

Future work could expand on large-scale causal graphs, refine parameterization models, and enhance optimization procedures, extending these frameworks to complex real-world data. Moreover, the integration of findings within reinforcement learning contexts could exhibit interesting opportunities for agents autonomously adapting to new environments or tasks.

The paper offers a compelling shift in how adaptation speed can inform causality, distinctively leveraging meta-learning to uncover and understand complex causal mechanisms—a promising avenue for advancing AI sustainability and cognitive-like adaptations.

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