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Algorithmic support systems often return optimal solutions that are hard to understand. Effective human-algorithm collaboration, however, requires interpretability. When machine solutions are equally optimal, humans must select one, but a…

Human-Computer Interaction · Computer Science 2026-03-11 Dominik Pegler , Frank Jäkel , David Steyrl , Frank Scharnowski , Filip Melinscak

Deep learning models have achieved high performance in medical applications, however, their adoption in clinical practice is hindered due to their black-box nature. Self-explainable models, like prototype-based models, can be especially…

Computer Vision and Pattern Recognition · Computer Science 2024-07-22 Shreyasi Pathak , Jörg Schlötterer , Jeroen Veltman , Jeroen Geerdink , Maurice van Keulen , Christin Seifert

Artificial Intelligence (AI) weather models are improving rapidly, and their forecasts are already competitive with long-established traditional Numerical Weather Prediction (NWP). To build confidence in this new methodology, it is critical…

Atmospheric and Oceanic Physics · Physics 2026-04-23 Kirsten I. Tempest , Matthias Beylich , George C. Craig

Hybrid modelling enhances the accuracy and predictive capability of dynamic models by integrating first principles with data-driven methods, effectively mitigating epistemic uncertainties inherent in mechanistic approaches. However, hybrid…

Dynamical Systems · Mathematics 2025-06-17 Ulderico Di Caprio , M. Enis Leblebici

In recent years, probabilistic forecasts techniques were proposed in research as well as in applications to integrate volatile renewable energy resources into the electrical grid. These techniques allow decision makers to take the…

Machine Learning · Statistics 2024-10-30 Jens Schreiber , Bernhard Sick

Sophisticated machine learning (ML) models to inform trading in the financial sector create problems of interpretability and risk management. Seemingly robust forecasting models may behave erroneously in out of distribution settings. In…

Machine Learning · Computer Science 2021-10-01 Gabriel Deza , Adelin Travers , Colin Rowat , Nicolas Papernot

The use of models, even if efficient, must be accompanied by an understanding at all levels of the process that transforms data (upstream and downstream). Thus, needs increase to define the relationships between individual data and the…

Machine Learning · Statistics 2022-09-02 Dimitri Delcaillau , Antoine Ly , Alize Papp , Franck Vermet

Identifiability concerns finding which unknown parameters of a model can be quantified from given input-output data. Many linear ODE models, used in systems biology and pharmacokinetics, are unidentifiable, which means that parameters can…

Algebraic Geometry · Mathematics 2013-12-12 Nicolette Meshkat , Seth Sullivant

We show how machine-learning techniques, particularly neural networks, offer a very effective and highly efficient solution to the approximate model-checking problem for continuous and hybrid systems, a solution where the general-purpose…

Machine Learning · Computer Science 2017-12-07 Dung Phan , Radu Grosu , Nicola Paoletti , Scott A. Smolka , Scott D. Stoller

The escalating integration of machine learning in high-stakes fields such as healthcare raises substantial concerns about model fairness. We propose an interpretable framework - Fairness-Aware Interpretable Modeling (FAIM), to improve model…

Machine Learning · Computer Science 2024-03-11 Mingxuan Liu , Yilin Ning , Yuhe Ke , Yuqing Shang , Bibhas Chakraborty , Marcus Eng Hock Ong , Roger Vaughan , Nan Liu

Ordinary differential equation models have become a standard tool for the mechanistic description of biochemical processes. If parameters are inferred from experimental data, such mechanistic models can provide accurate predictions about…

Quantitative Methods · Quantitative Biology 2018-10-12 Fabian Fröhlich , Carolin Loos , Jan Hasenauer

Stochasticity plays a key role in many biological systems, necessitating the calibration of stochastic mathematical models to interpret associated data. For model parameters to be estimated reliably, it is typically the case that they must…

Interpretability is often pointed out as a key requirement for trustworthy machine learning. However, learning and releasing models that are inherently interpretable leaks information regarding the underlying training data. As such…

Artificial Intelligence · Computer Science 2024-04-04 Julien Ferry , Ulrich Aïvodji , Sébastien Gambs , Marie-José Huguet , Mohamed Siala

Scientists use mathematical modelling to understand and predict the properties of complex physical systems. In highly parameterised models there often exist relationships between parameters over which model predictions are identical, or…

Data Analysis, Statistics and Probability · Physics 2017-03-24 Dhruva V. Raman , James Anderson , Antonis Papachristodoulou

When performing predictions that use Machine Learning (ML), we are mainly interested in performance and interpretability. This generates a natural trade-off, where complex models generally have higher skills but are harder to explain and…

Machine Learning · Computer Science 2025-03-31 Alessandro Lovo , Amaury Lancelin , Corentin Herbert , Freddy Bouchet

Critical heat flux is a key quantity in boiling system modeling due to its impact on heat transfer and component temperature and performance. This study investigates the development and validation of an uncertainty-aware hybrid modeling…

Machine Learning · Computer Science 2025-07-17 Aidan Furlong , Xingang Zhao , Robert Salko , Xu Wu

Energy-based models (EBMs) implement inference as gradient descent on a learned Lyapunov function, yielding interpretable, structure-preserving alternatives to black-box neural ODEs and aligning naturally with physical AI. Yet their use in…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Simone Betteti , Luca Laurenti

We propose Partially Interpretable Estimators (PIE) which attribute a prediction to individual features via an interpretable model, while a (possibly) small part of the PIE prediction is attributed to the interaction of features via a…

Machine Learning · Computer Science 2021-05-07 Tong Wang , Jingyi Yang , Yunyi Li , Boxiang Wang

Clinician-facing predictive models are increasingly present in the healthcare setting. Regardless of their success with respect to performance metrics, all models have uncertainty. We investigate how to visually communicate uncertainty in…

Human-Computer Interaction · Computer Science 2022-10-25 Caitlin F. Harrigan , Gabriela Morgenshtern , Anna Goldenberg , Fanny Chevalier

Deep neural networks have been well-known for their superb handling of various machine learning and artificial intelligence tasks. However, due to their over-parameterized black-box nature, it is often difficult to understand the prediction…

Machine Learning · Computer Science 2022-07-18 Xuhong Li , Haoyi Xiong , Xingjian Li , Xuanyu Wu , Xiao Zhang , Ji Liu , Jiang Bian , Dejing Dou