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Causal-PIK: Causality-based Physical Reasoning with a Physics-Informed Kernel (2505.22861v2)

Published 28 May 2025 in cs.LG

Abstract: Tasks that involve complex interactions between objects with unknown dynamics make planning before execution difficult. These tasks require agents to iteratively improve their actions after actively exploring causes and effects in the environment. For these type of tasks, we propose Causal-PIK, a method that leverages Bayesian optimization to reason about causal interactions via a Physics-Informed Kernel to help guide efficient search for the best next action. Experimental results on Virtual Tools and PHYRE physical reasoning benchmarks show that Causal-PIK outperforms state-of-the-art results, requiring fewer actions to reach the goal. We also compare Causal-PIK to human studies, including results from a new user study we conducted on the PHYRE benchmark. We find that Causal-PIK remains competitive on tasks that are very challenging, even for human problem-solvers.

Causal-PIK: Causality-Based Physical Reasoning with a Physics-Informed Kernel

The paper presents a novel approach to tackling single-intervention physical reasoning tasks by implementing Causal-PIK, a method that integrates causality with Bayesian optimization through a Physics-Informed Kernel. The authors focus on enhancing an agent's ability to learn and make efficient decisions in physical environments through the exploitation of causal interactions. This research stands on the intersection of machine learning, specifically Bayesian optimization, and cognitive science, drawing inspiration from how humans intuitively learn from the environment.

Methodology and Contributions

Causal-PIK leverages a Physics-Informed Kernel within a Bayesian optimization framework to improve the efficiency and effectiveness of agents in solving physical reasoning tasks. The kernel is designed to incorporate physical intuitions and causality, enabling the Gaussian process to more accurately model the outcome of untested actions based on previous observations. This process allows for efficient action space exploration, which is crucial for tasks where actions must be carefully selected to achieve specific goals.

The research notably improves on existing approaches by demonstrating superior performance in the Virtual Tools and PHYRE benchmarks. These benchmarks present complex tasks where state-of-the-art methods often struggle due to the intricate dynamics involved. Causal-PIK's ability to outperform by requiring fewer trials to reach solutions highlights the method's proficiency in dealing with the complexities of physical interactions.

Experimental Findings

The paper presents a comprehensive evaluation of Causal-PIK on two benchmarks: Virtual Tools and PHYRE. In Virtual Tools, Causal-PIK achieved an AUCCESS rate that surpassed the best existing methods by 7 points. Similarly, in PHYRE, it outperformed the best benchmark models with an AUCCESS improvement of over 10 points, demonstrating robustness in a full action space environment containing millions of possibilities.

Moreover, human-baseline comparisons show that while humans also find these tasks challenging, Causal-PIK remains competitive or even superior in some configurations, underscoring its potential in modeling complex causal reasoning processes akin to human intuition.

Theoretical and Practical Implications

Theoretically, this work enriches the understanding of how causal knowledge and physical intuitions can be incorporated into machine learning models to improve learning efficiency. The employment of a Physics-Informed Kernel is not just a technical novelty, but a conceptual advancement, opening pathways for future exploration where causal inference and optimization techniques converge.

Practically, Causal-PIK holds promise for various applications, particularly in fields requiring strategic decision-making in dynamic environments, such as robotics and autonomous systems. As physical reasoning forms a cornerstone in these domains, the ability to minimize trial-and-error learning while maintaining high-performance standards is invaluable.

Future Directions

Looking ahead, the paper suggests exploring ways to enhance generalization across different tasks, potentially by leveraging knowledge transfer mechanisms. Additionally, refining the dynamics model to further reduce prediction noise could lead to even greater performance gains. Finally, expanding this approach to high-dimensional action spaces presents an alluring research direction, promising advances in the adept handling of complex real-world scenarios.

In conclusion, Causal-PIK marks a significant contribution to the field of machine learning by integrating causality into a Bayesian optimization framework to tackle the challenges inherent in physical reasoning tasks. By bridging the gap between theoretic causal modeling and practical decision-making efficiency, this research lays a foundation for future work that could revolutionize how machines learn and interact with their environments.

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Authors (7)
  1. Carlota Parés-Morlans (1 paper)
  2. Michelle Yi (2 papers)
  3. Claire Chen (14 papers)
  4. Sarah A. Wu (2 papers)
  5. Rika Antonova (26 papers)
  6. Tobias Gerstenberg (18 papers)
  7. Jeannette Bohg (109 papers)
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