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Large Language Models (LLMs) have shown remarkable ability in solving complex tasks, making them a promising tool for enhancing tabular learning. However, existing LLM-based methods suffer from high resource requirements, suboptimal…

Machine Learning · Computer Science 2025-05-12 Ruxue Shi , Hengrui Gu , Xu Shen , Xin Wang

Functionally Graded Materials (FGMs) made of soft constituents have emerged as promising material-structure systems in potential applications across many engineering disciplines, such as soft robots, actuators, energy harvesting, and tissue…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Shiguang Deng , Horacio D. Espinosa , Wei Chen

A machine-learning-based framework for modeling the error introduced by surrogate models of parameterized dynamical systems is proposed. The framework entails the use of high-dimensional regression techniques (e.g., random forests, LASSO)…

Numerical Analysis · Computer Science 2017-06-02 Sumeet Trehan , Kevin Carlberg , Louis J. Durlofsky

We present a computational framework for dimension reduction and surrogate modeling to accelerate uncertainty quantification in computationally intensive models with high-dimensional inputs and function-valued outputs. Our driving…

Numerical Analysis · Mathematics 2021-06-30 Helen Cleaves , Alen Alexanderian , Bilal Saad

We present a systematic mathematical analysis of the qualitative steady-state response to rate perturbations in large classes of reaction networks. This includes multimolecular reactions and allows for catalysis, enzymatic reactions,…

Dynamical Systems · Mathematics 2017-11-22 Bernhard Brehm , Bernold Fiedler

Large language models deliver strong generative performance but at the cost of massive parameter counts, memory use, and decoding latency. Prior work has shown that pruning and structured sparsity can preserve accuracy under substantial…

Computation and Language · Computer Science 2026-04-17 Andrew Kiruluta

Accurate prediction of many-body dispersion (MBD) interactions is essential for understanding the van der Waals forces that govern the behavior of many complex molecular systems. However, the high computational cost of MBD calculations…

Machine Learning · Computer Science 2026-04-01 Zhaoxiang Shen , Raúl I. Sosa , Jakub Lengiewicz , Alexandre Tkatchenko , Stéphane P. A. Bordas

In this paper, we present a novel tolerance allocation algorithm for the assessment and control of geometric variation on system performance that is applicable to any system of partial differential equations. In particular, we parameterize…

Numerical Analysis · Mathematics 2019-04-16 Joseph Benzaken , Alireza Doostan , John A. Evans

Fuel-flexible, low-carbon combustion systems need to accommodate methane/hydrogen mixtures with air and exhaust-gas dilution. To develop these, we require accurate and efficient correlations for laminar flame speed (LFS). In this work, we…

Surrogate models are used to alleviate the computational burden in engineering tasks, which require the repeated evaluation of computationally demanding models of physical systems, such as the efficient propagation of uncertainties. For…

Machine Learning · Statistics 2022-09-28 Felix Schneider , Iason Papaioannou , Gerhard Müller

High-fidelity experimental characterization of turbulent premixed flames remains limited by the cost and complexity of advanced diagnostics, particularly under elevated pressures and intense turbulence where measurements of coupled flame…

Machine Learning · Computer Science 2026-05-12 Saghar Zolfaghari , Yu Xie , Junfeng Yang , Safa Jamali

Low-thrust trajectory design relies heavily on repeated evaluations of fuel consumption and transfer feasibility, which require expensive optimal control solutions. In this work, we show these quantities can be accurately approximated by…

Machine Learning · Computer Science 2026-05-28 Zhong Zhang , Giacomo Acciarini , Dario Izzo , Hexi Baoyin , Francesco Topputo

Data-driven surrogate models are widely used for applications such as design optimization and uncertainty quantification, where repeated evaluations of an expensive simulator are required. For most partial differential equation (PDE)…

Computational Physics · Physics 2019-10-18 Wei Xing , Robert M. Kirby , Shandian Zhe

High-speed flight vehicles, which travel much faster than the speed of sound, are crucial for national defense and space exploration. However, accurately predicting their behavior under numerous, varied flight conditions is a challenge and…

Machine Learning · Computer Science 2024-11-07 Tyler E. Korenyi-Both , Nathan J. Falkiewicz , Matthew C. Jones

The capabilities of additive manufacturing have facilitated the design and production of mechanical metamaterials with diverse unit cell geometries. Establishing linkages between the vast design space of unit cells and their effective…

Computational Engineering, Finance, and Science · Computer Science 2025-05-05 Hooman Danesh , Maruthi Annamaraju , Tim Brepols , Stefanie Reese , Surya R. Kalidindi

High-fidelity simulation models are widely used to analyze complex stochastic systems, but their high computational cost motivates the development of cheaper surrogate models that approximate the simulation model's input-output…

Machine Learning · Statistics 2026-05-28 Mohammadmahdi Ghasemloo , David J. Eckman , Yaxian Li

Machine-learning-based parameterizations (i.e. representation of sub-grid processes) of global climate models or turbulent simulations have recently been proposed as a powerful alternative to physical, but empirical, representations,…

Machine Learning · Computer Science 2023-09-20 Mohamed Aziz Bhouri , Liran Peng , Michael S. Pritchard , Pierre Gentine

Many complex engineering systems consist of multiple subsystems that are developed by different teams of engineers. To analyse, simulate and control such complex systems, accurate yet computationally efficient models are required. Modular…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Lars A. L. Janssen , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

This study introduces a surrogate modeling framework merging proper orthogonal decomposition, long short-term memory networks, and multi-task learning, to accurately predict elastoplastic deformations in real-time. Superior to single-task…

Computational Engineering, Finance, and Science · Computer Science 2024-11-11 Ruben Schmeitz , Joris Remmers , Olga Mula , Olaf van der Sluis

This paper proposes a sequential design for maximizing a stochastic computer simulator output, y(x), over an unknown optimization domain. The training data used to estimate the optimization domain are a set of (historical) inputs, often…

Methodology · Statistics 2020-12-17 François Bachoc , Théo Barthe , Thomas Santner , Yann Richet