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Mechanistic interpretability aims to explain neural model behaviour by reverse-engineering learned computational structure into human-understandable components. Without a formal framework, however, mechanistic explanations cannot be…

Machine Learning · Computer Science 2026-05-12 Ward Gauderis , Thomas Dooms , Steven T. Holmer , Kola Ayonrinde , Geraint A. Wiggins

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…

Computational Physics · Physics 2025-04-01 Sebastian Johann Wetzel , Seungwoong Ha , Raban Iten , Miriam Klopotek , Ziming Liu

Being able to interpret, or explain, the predictions made by a machine learning model is of fundamental importance. This is especially true when there is interest in deploying data-driven models to make high-stakes decisions, e.g. in…

Machine Learning · Computer Science 2019-10-01 An-phi Nguyen , María Rodríguez Martínez

We present a novel approach to modeling the ground state mass of atomic nuclei based directly on a probabilistic neural network constrained by relevant physics. Our Physically Interpretable Machine Learning (PIML) approach incorporates…

Nuclear Theory · Physics 2022-08-17 M. R. Mumpower , T. M. Sprouse , A. E. Lovell , A. T. Mohan

Interpretable classification models are built with the purpose of providing a comprehensible description of the decision logic to an external oversight agent. When considered in isolation, a decision tree, a set of classification rules, or…

Machine Learning · Computer Science 2019-03-18 Riccardo Guidotti , Salvatore Ruggieri

Autonomous systems face the intricate challenge of navigating unpredictable environments and interacting with external objects. The successful integration of robotic agents into real-world situations hinges on their perception capabilities,…

Robotics · Computer Science 2025-02-10 Enrico Donato , Thomas George Thuruthel , Egidio Falotico

When quantitative models are used to support decision-making on complex and important topics, understanding a model's ``reasoning'' can increase trust in its predictions, expose hidden biases, or reduce vulnerability to adversarial attacks.…

Machine Learning · Computer Science 2019-07-09 Dimitris Bertsimas , Arthur Delarue , Patrick Jaillet , Sebastien Martin

Machine-learning models have demonstrated a great ability to learn complex patterns and make predictions. In high-dimensional nonlinear problems of fluid dynamics, data representation often greatly affects the performance and…

Fluid Dynamics · Physics 2022-07-29 Runze Li , Yufei Zhang , Haixin Chen

The design of control engineering applications usually requires a model that accurately represents the dynamics of the real system. In addition to classical physical modeling, powerful data-driven approaches are increasingly used. However,…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Annika Junker , Julia Timmermann , Ansgar Trächtler

Many risk-sensitive applications require Machine Learning (ML) models to be interpretable. Attempts to obtain interpretable models typically rely on tuning, by trial-and-error, hyper-parameters of model complexity that are only loosely…

Machine Learning · Computer Science 2020-05-29 Marco Virgolin , Andrea De Lorenzo , Eric Medvet , Francesca Randone

Control theory often takes the mathematical model of the to-be-control-led system for granted. In contrast, port-Hamiltonian systems theory bridges the gap between modelling and control for physical systems. It provides a unified framework…

Optimization and Control · Mathematics 2024-12-30 Arjan van der Schaft

Learning and predicting the dynamics of physical systems requires a profound understanding of the underlying physical laws. Recent works on learning physical laws involve generalizing the equation discovery frameworks to the discovery of…

Machine Learning · Statistics 2023-10-11 Tapas Tripura , Souvik Chakraborty

Machine-learning models have demonstrated great success in learning complex patterns that enable them to make predictions about unobserved data. In addition to using models for prediction, the ability to interpret what a model has learned…

Machine Learning · Statistics 2019-11-15 W. James Murdoch , Chandan Singh , Karl Kumbier , Reza Abbasi-Asl , Bin Yu

There is a growing concern about typically opaque decision-making with high-performance machine learning algorithms. Providing an explanation of the reasoning process in domain-specific terms can be crucial for adoption in risk-sensitive…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Aditya Chattopadhyay , Stewart Slocum , Benjamin D. Haeffele , Rene Vidal , Donald Geman

Data-driven approaches achieve remarkable results for the modeling of complex dynamics based on collected data. However, these models often neglect basic physical principles which determine the behavior of any real-world system. This…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Thomas Beckers , Jacob Seidman , Paris Perdikaris , George J. Pappas

Switching physical systems are ubiquitous in modern control applications, for instance, locomotion behavior of robots and animals, power converters with switches and diodes. The dynamics and switching conditions are often hard to obtain or…

Systems and Control · Electrical Eng. & Systems 2023-05-18 Thomas Beckers , Tom Z. Jiahao , George J. Pappas

Several researchers have argued that a machine learning system's interpretability should be defined in relation to a specific agent or task: we should not ask if the system is interpretable, but to whom is it interpretable. We describe a…

Artificial Intelligence · Computer Science 2018-06-21 Richard Tomsett , Dave Braines , Dan Harborne , Alun Preece , Supriyo Chakraborty

We develop a physics-informed learning framework for energy-shaping control of port-Hamiltonian (pH) systems from trajectory data. The proposed approach co-learns a pH system model and an optimal energy-balancing passivity-based controller…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Ankur Kamboj , Biswadip Dey , Vaibhav Srivastava

Most existing interpretable methods explain a black-box model in a post-hoc manner, which uses simpler models or data analysis techniques to interpret the predictions after the model is learned. However, they (a) may derive contradictory…

Machine Learning · Computer Science 2020-01-22 Mengzhuo Guo , Qingpeng Zhang , Xiuwu Liao , Daniel Dajun Zeng

In this review, we examine the problem of designing interpretable and explainable machine learning models. Interpretability and explainability lie at the core of many machine learning and statistical applications in medicine, economics,…

Machine Learning · Computer Science 2023-03-02 Ričards Marcinkevičs , Julia E. Vogt