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Causal emergence is widespread across measures of causation (2202.01854v1)

Published 3 Feb 2022 in physics.soc-ph, cs.IT, and math.IT

Abstract: Causal emergence is the theory that macroscales can reduce the noise in causal relationships, leading to stronger causes at the macroscale. First identified using the effective information and later the integrated information in model systems, causal emergence has been analyzed in real data across the sciences since. But is it simply a quirk of these original measures? To answer this question we examined over a dozen popular measures of causation, all independently developed and widely used, and spanning different fields from philosophy to statistics to psychology to genetics. All showed cases of causal emergence. This is because, we prove, measures of causation are based on a small set of related "causal primitives." This consilience of independently-developed measures of causation shows that macroscale causation is a general fact about causal relationships, is scientifically detectable, and is not a quirk of any particular measure of causation. This finding sets the science of emergence on firmer ground, opening the door for the detection of intrinsic scales of function in complex systems, as well as assisting with scientific modeling and experimental interventions.

Citations (12)

Summary

  • The paper demonstrates that macro-level systems exhibit enhanced causal strength due to noise suppression, challenging traditional micro-level analyses.
  • It systematically evaluates over a dozen causation measures, unifying them under core causal primitives such as sufficiency, necessity, and determinism.
  • The study confirms that causal emergence persists across varied intervention distributions, offering robust insights for fields like neuroscience and AI.

Insights into the Prevalence of Causal Emergence Across Various Causation Measures

The paper "Causal emergence is widespread across measures of causation" by Renzo Comolatti and Erik Hoel offers a comprehensive examination of how causal emergence manifests across numerous measures of causation. Through a systematic investigation, the authors illustrate the phenomenon that macro-level systems can exhibit stronger causal properties compared to their micro-level counterparts, primarily due to noise suppression in the data. This work challenges the notion that causal emergence is merely peculiar to certain measures, demonstrating its broader applicability.

The authors embark on their inquiry by canvassing over a dozen widely recognized causation measures, originating from diverse fields such as philosophy, psychology, and genetics. Each measure, despite its independent development, indicates instances of causal emergence. The paper reveals that various causation measures are fundamentally built upon a small set of elemental properties termed "causal primitives," namely sufficiency, necessity, determinism, and degeneracy. This structural commonality underscores a deeper conceptual unification of causation measures, beyond mere surface-level differences.

In the model system—a bipartite Markov chain—the researchers examine how these measures behave under a spectrum of noise conditions. By manipulating the determinism and degeneracy of the microscale transitions, they simulate varying levels of uncertainty in causal relationships. The findings affirm that measures such as Eells's probability raising, Suppes's causation measure, and effective information consistently reflect greater causal strength at the macroscale, particularly as microscale data becomes less deterministic or more degenerate.

Significantly, the paper delineates that causal emergence is resilient across different assumptions regarding intervention distributions, a key component in calculating causation measures. Whether employing an observational, maximum-entropy, or localized intervention distribution, the core phenomenon of causal emergence persists, thereby emphasizing its robust theoretical underpinnings.

This research carries profound implications for the scientific understanding of causation and emergence. It suggests that the phenomenon of causal emergence is not exclusive to specialized theoretical frameworks or niche applications. Consequently, the paper bolsters the theoretical basis for employing macro-level analyses in complex systems, where emergent properties often manifest more prominently. Practically, the research supports a paradigm in which macroscale models can offer enhanced utility for intervention and explanatory purposes in fields as varied as neuroscience, systems biology, and artificial intelligence.

Foreseeing future trajectories, this work invites further exploration into the domain of causal emergence, encouraging the development of more refined measures that can seamlessly integrate with existing scientific methods. Moreover, it suggests potential advancements in AI, where understanding and leveraging multiscale causal relationships can lead to the development of more robust and adaptive models.

In essence, Comolatti and Hoel provide a critical perspective on the universality and applicability of causal emergence across scientific disciplines, paving the way for a nuanced yet coherent theory of causation that harmonizes micro and macro understandings of complex systems.

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