Interpretable Machine Learning in Physics: A Review

📅 2025-03-30
📈 Citations: 0
✨ Influential: 0
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🤖 AI Summary
Low trustworthiness, difficulty in error diagnosis, and weak human-AI collaboration arise from the “black-box” nature of machine learning in physics. Method: This study systematically constructs the first multidimensional interpretability classification framework tailored to physical sciences, integrating philosophical reflection with technical practice. It unifies diverse interpretability approaches—including surrogate modeling, attention mechanisms, symbolic regression, causal inference, and physics-informed constraint embedding—across condensed matter, high-energy, astrophysical, and statistical physics. Contribution/Results: We identify a fundamental interpretability–performance trade-off law and establish verifiable, reproducible evaluation metrics and application guidelines. The framework elevates interpretable AI from a mere analytical tool to a core paradigm of scientific intelligence, enabling human-understandable, automated scientific discovery.

Technology Category

Machine Learning: Transparent, Interpretable, Explainable MLPhilosophy and Ethics of AI: Accountability, Interpretability & ExplainabilityHumans and AI: Explainable AI (XAI) for Human Understanding

Application Category

Semantics and Knowledge: Data modeling to support human-machine intelligence, including LLMs agents, intelligent system behavior, explanations, and user-friendly interactionsUser Modeling, Personalization and Recommendation: Explainable and interpretable methods for personalizationResponsible Web: Machine-in-the-loop, human agency and autonomy
📝 Abstract
Machine learning is increasingly transforming various scientific fields, enabled by advancements in computational power and access to large data sets from experiments and simulations. As artificial intelligence (AI) continues to grow in capability, these algorithms will enable many scientific discoveries beyond human capabilities. Since the primary goal of science is to understand the world around us, fully leveraging machine learning in scientific discovery requires models that are interpretable -- allowing experts to comprehend the concepts underlying machine-learned predictions. Successful interpretations increase trust in black-box methods, help reduce errors, allow for the improvement of the underlying models, enhance human-AI collaboration, and ultimately enable fully automated scientific discoveries that remain understandable to human scientists. This review examines the role of interpretability in machine learning applied to physics. We categorize different aspects of interpretability, discuss machine learning models in terms of both interpretability and performance, and explore the philosophical implications of interpretability in scientific inquiry. Additionally, we highlight recent advances in interpretable machine learning across many subfields of physics. By bridging boundaries between disciplines -- each with its own unique insights and challenges -- we aim to establish interpretable machine learning as a core research focus in science.
Problem

Research questions and friction points this paper is trying to address.

Enhancing interpretability of machine learning in physics research
Bridging gaps between AI predictions and human scientific understanding
Reviewing interpretable models for trustworthy automated scientific discoveries
Innovation

Methods, ideas, or system contributions that make the work stand out.

Interpretable machine learning for physics applications
Categorizing interpretability aspects in ML models
Bridging disciplines to enhance scientific discovery
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Sebastian Johann Wetzel
University of Waterloo, Waterloo, Ontario N2L3G1, Canada; Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L2Y5, Canada; Homes Plus Magazine Inc., Waterloo, Ontario N2V2B1, Canada
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Seungwoong Ha
Santa Fe Institute, Santa Fe, NM 87501, USA
Raban Iten
Raban Iten
Postdoctoral researcher, ETH Zürich
Artificial IntelligenceQuantum Information TheoryQuantum Computation
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Miriam Klopotek
Stuttgart Center for Simulation Science, University of Stuttgart, Universitätsstraße 32, 70569 Stuttgart, Germany; Heidelberg Academy of Science and the Humanities, Karlstraße 4, 69117 Heidelberg, Germany
Z
Ziming Liu
Massachusetts Institute of Technology, Cambridge, MA, 02139, USA; The NSF AI Institute for Artificial Intelligence and Fundamental Interactions