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Recent advances in autoregressive neural surrogate models have enabled orders-of-magnitude speedups in simulating dynamical systems. However, autoregressive models are generally prone to distribution drift: compounding errors in…

Machine Learning · Computer Science 2026-03-19 Qi Liu , Laure Zanna , Joan Bruna

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

Crash simulations play an essential role in improving vehicle safety, design optimization, and injury risk estimation. Unfortunately, numerical solutions of such problems using state-of-the-art high-fidelity models require significant…

Machine Learning · Computer Science 2024-02-16 Jonas Kneifl , Jörg Fehr , Steven L. Brunton , J. Nathan Kutz

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

Addressing real-world optimization challenges requires not only advanced metaheuristics but also continuous refinement of their internal mechanisms. This paper explores the integration of machine learning in the form of neural surrogate…

Neural and Evolutionary Computing · Computer Science 2026-03-31 Tomohiro Harada , Enrique Alba , Gabriel Luque

The treatment of Hall-effect thrusters as nonlinear, dynamical systems has emerged as a new perspective to understand and analyze data acquired from the thrusters. The acquisition of high-speed data that can resolve the characteristic…

Chaotic Dynamics · Physics 2024-08-14 Adrian S Wong , Christine M Greve , Daniel Q Eckhardt

Metamodeling of complex numerical systems has recently attracted the interest of the mathematical programming community. Despite the progress in high performance computing, simulations remain costly, as a matter of fact, the assessment of…

Other Statistics · Statistics 2018-11-13 Soumaya Azzi , Yuanyuan Huang , Bruno Sudret , Joe Wiart

Modern generative AI models, such as diffusion and flow matching models, can sample from rich data distributions. However, many applications, especially in science and engineering, require more than drawing samples from the model…

Surrogate model-based optimization has been increasingly used in the field of engineering design. It involves creating a surrogate model with objective functions or constraints based on the data obtained from simulations or real-world…

Optimization and Control · Mathematics 2023-08-28 Minyoung Jwa , Jihoon Kim , Seungyeon Shin , Ah-hyeon Jin , Dongju Shin , Namwoo Kang

The high computational cost of phase field simulations remains a major limitation for predicting dendritic solidification in metals, particularly in additive manufacturing, where microstructural control is critical. This work presents a…

Diffusion Models (DMs) have achieved great success in image generation and other fields. By fine sampling through the trajectory defined by the SDE/ODE solver based on a well-trained score model, DMs can generate remarkable high-quality…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Bowen Zheng , Tianming Yang

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

Machine Learning · Statistics 2019-01-16 Yibo Yang , Paris Perdikaris

Model distillation has emerged as a prominent technique to improve neural search models. To date, distillation taken an offline approach, wherein a new neural model is trained to predict relevance scores between arbitrary queries and…

Information Retrieval · Computer Science 2023-06-19 Sean MacAvaney , Xi Wang

We propose a novel \textit{capsule} based deep encoder-decoder model for surrogate modeling and uncertainty quantification of systems in mechanics from sparse data. The proposed framework is developed by adapting Capsule Network (CapsNet)…

Machine Learning · Statistics 2022-01-20 Akshay Thakur , Souvik Chakraborty

Sampling techniques are used in many fields, including design of experiments, image processing, and graphics. The techniques in each field are designed to meet the constraints specific to that field such as uniform coverage of the range of…

Machine Learning · Computer Science 2023-06-08 Chandrika Kamath

The computational cost of geochemical solvers is a challenging matter. For reactive transport simulations, where chemical calculations are performed up to billions of times, it is crucial to reduce the total computational time. Existing…

Machine Learning · Computer Science 2026-03-17 Leonardo Boledi , Dirk Bosbach , Jenna Poonoosamy

Mechanistic dynamic process models may be too computationally expensive to be usable as part of a real-time capable predictive controller. We present a method for end-to-end learning of Koopman surrogate models for optimal performance in a…

Machine Learning · Computer Science 2025-03-06 Daniel Mayfrank , Na Young Ahn , Alexander Mitsos , Manuel Dahmen

Many real-world systems are modelled using complex ordinary differential equations (ODEs). However, the dimensionality of these systems can make them challenging to analyze. Dimensionality reduction techniques like Proper Orthogonal…

Computational Engineering, Finance, and Science · Computer Science 2025-02-26 Abhishek Ajayakumar , Soumyendu Raha

The recent rapid growth of visual generative models trained on vast web-scale datasets has created significant tension with data privacy regulations and copyright laws, such as GDPR's ``Right to be Forgotten.'' This necessitates machine…

Machine Learning · Computer Science 2025-12-03 Naveen George , Naoki Murata , Yuhta Takida , Konda Reddy Mopuri , Yuki Mitsufuji

We propose a novel method for gradient-based optimization of black-box simulators using differentiable local surrogate models. In fields such as physics and engineering, many processes are modeled with non-differentiable simulators with…

Machine Learning · Computer Science 2020-09-30 Sergey Shirobokov , Vladislav Belavin , Michael Kagan , Andrey Ustyuzhanin , Atılım Güneş Baydin