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Composite materials exhibit strongly hierarchical and anisotropic properties governed by coupled mechanisms spanning constituents, plies, laminates, structures, and manufacturing history. This intrinsic complexity makes predictive modeling…

Computational Physics · Physics 2026-05-05 Haizhou Wen , Elham Kiyani , Gang Li , Srikanth Pilla , George Em Karniadakis , Zhen Li

Outer loop tasks such as optimization, uncertainty quantification or inference can easily become intractable when the underlying high-fidelity model is computationally expensive. Similarly, data-driven architectures typically require large…

Machine Learning · Computer Science 2025-12-03 Cristian J. Villatoro , Gianluca Geraci , Daniele E. Schiavazzi

This paper develops a surrogate model refinement approach for the simulation of dynamical systems and the solution of optimization problems governed by dynamical systems in which surrogates replace expensive-to-compute state- and…

Optimization and Control · Mathematics 2025-09-08 Jonathan R. Cangelosi , Matthias Heinkenschloss

Multi-agent simulations enables the modeling and analyses of the dynamic behaviors and interactions of autonomous entities evolving in complex environments. Agent-based models (ABM) are widely used to study emergent phenomena arising from…

Machine Learning · Computer Science 2025-05-20 Paul Saves , Nicolas Verstaevel , Benoît Gaudou

As data collection and simulation capabilities advance, multi-modal learning, the task of learning from multiple modalities and sources of data, is becoming an increasingly important area of research. Surrogate models that learn from data…

Machine Learning · Statistics 2026-05-13 Ian Taylor , Juliane Mueller , Julie Bessac

Inverse uncertainty quantification (UQ) tasks such as parameter estimation are computationally demanding whenever dealing with physics-based models, and typically require repeated evaluations of complex numerical solvers. When partial…

Machine Learning · Computer Science 2025-12-19 Filippo Zacchei , Paolo Conti , Attilio Alberto Frangi , Andrea Manzoni

Science and engineering fields use computer simulation extensively. These simulations are often run at multiple levels of sophistication to balance accuracy and efficiency. Multi-fidelity surrogate modeling reduces the computational cost by…

Machine Learning · Computer Science 2022-06-13 Dongxia Wu , Matteo Chinazzi , Alessandro Vespignani , Yi-An Ma , Rose Yu

Scaling laws describe how model performance grows with data, parameters and compute. While large datasets can usually be collected at relatively low cost in domains such as language or vision, scientific machine learning is often limited by…

Machine Learning · Computer Science 2025-11-04 Paul Setinek , Gianluca Galletti , Johannes Brandstetter

The complex and computationally expensive nature of landscape evolution models pose significant challenges in the inference and optimisation of unknown parameters. Bayesian inference provides a methodology for estimation and uncertainty…

Machine Learning · Statistics 2020-06-30 Rohitash Chandra , Danial Azam , Arpit Kapoor , R. Dietmar Müller

Optimization constrained by high-fidelity computational models has potential for transformative impact. However, such optimization is frequently unattainable in practice due to the complexity and computational intensity of the model. An…

Numerical Analysis · Mathematics 2024-06-04 Joseph Hart , Bart van Bloemen Waanders

One method to solve expensive black-box optimization problems is to use a surrogate model that approximates the objective based on previous observed evaluations. The surrogate, which is cheaper to evaluate, is optimized instead to find an…

Optimization and Control · Mathematics 2021-05-28 Rickard Karlsson , Laurens Bliek , Sicco Verwer , Mathijs de Weerdt

Bayesian formulations of inverse problems are attractive for their ability to incorporate prior knowledge and update probabilistic models as new data become available. Markov chain Monte Carlo (MCMC) methods sample posterior probability…

Geophysics · Physics 2025-05-07 Giovanni Angelo Meles , Stefano Marelli , Niklas Linde

Computational models provide crucial insights into complex biological processes such as cancer evolution, but their mechanistic nature often makes them nonlinear and parameter-rich, complicating calibration. We systematically evaluate…

Analysis of PDEs · Mathematics 2025-09-24 Christina Schenk , Jacobo Ayensa Jiménez , Ignacio Romero

High-Performance Computing (HPC) schedulers must balance user performance with facility-wide resource constraints. The task boils down to selecting the optimal number of nodes for a given job. We present a surrogate-assisted multi-objective…

Machine Learning · Computer Science 2026-01-23 Ashna Nawar Ahmed , Banooqa Banday , Terry Jones , Tanzima Z. Islam

The increasing use of stochastic models for describing complex phenomena warrants surrogate models that capture the reference model characteristics at a fraction of the computational cost, foregoing potentially expensive Monte Carlo…

Machine Learning · Computer Science 2024-06-10 Neil Kichler , Sher Afghan , Uwe Naumann

Recent developments of advanced driver-assistance systems necessitate an increasing number of tests to validate new technologies. These tests cannot be carried out on track in a reasonable amount of time and automotive groups rely on…

Machine Learning · Statistics 2022-12-16 Clara Carlier , Arnaud Franju , Matthieu Lerasle , Mathias Obrebski

In explainable AI, surrogate models are commonly evaluated by their fidelity to a neural network's predictions. Fidelity, however, measures alignment to a learned model rather than alignment to the data-generating signal underlying the…

Machine Learning · Computer Science 2026-04-21 Jackson Eshbaugh

The requirement for identifying accurate system representations has not only been a challenge to fulfill, but it has compromised the scalability of formal methods, as the resulting models are often too complex for effective decision making…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Oliver Schön , Sofie Haesaert , Sadegh Soudjani

Surrogate models are statistical or conceptual approximations for more complex simulation models. In this context, it is crucial to propagate the uncertainty induced by limited simulation budget and surrogate approximation error to…

Machine Learning · Statistics 2026-01-27 Philipp Reiser , Javier Enrique Aguilar , Anneli Guthke , Paul-Christian Bürkner

This paper introduces a practical sampling method for training surrogate models in the context of uncertainty propagation. We propose a heuristic method to uniformly draw samples within highest density regions of the density given by the…

Methodology · Statistics 2025-09-15 Jocelyn Minini , Micha Wasem
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