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In the reduced order modeling (ROM) framework, the solution of a parametric partial differential equation is approximated by combining the high-fidelity solutions of the problem at hand for several properly chosen configurations. Examples…

Numerical Analysis · Mathematics 2019-05-16 Nicola Demo , Marco Tezzele , Andrea Mola , Gianluigi Rozza

Control of nonlinear distributed parameter systems (DPS) under uncertainty is a meaningful task for many industrial processes. However, both intrinsic uncertainty and high dimensionality of DPS require intensive computations, while…

Optimization and Control · Mathematics 2024-10-17 Min Tao , Ioannis Zacharopoulos , Constantinos Theodoropoulos

Very high dimensional nonlinear systems arise in many engineering problems due to semi-discretization of the governing partial differential equations, e.g. through finite element methods. The complexity of these systems present…

Optimization and Control · Mathematics 2022-09-15 Florian Mahlknecht , John Irvin Alora , Shobhit Jain , Edward Schmerling , Riccardo Bonalli , George Haller , Marco Pavone

Stochastic differential equations (SDEs) are increasingly used in longitudinal data analysis, compartmental models, growth modelling, and other applications in a number of disciplines. Parameter estimation, however, currently requires…

Methodology · Statistics 2018-09-12 Oscar García

This paper contributes to speeding up the design and deployment of engineering dynamical systems by proposing a strategy for exploiting domain and expert knowledge for the automated generation of a dynamical system computational model…

Computation and Language · Computer Science 2026-04-23 Matthew Anderson Hendricks , Alice Cicirello

Recently, large language models (LLMs) have shown significant progress, approaching human perception levels. In this work, we demonstrate that despite these advances, LLMs still struggle to reason using molecular structural information.…

Machine Learning · Computer Science 2025-05-26 Yunhui Jang , Jaehyung Kim , Sungsoo Ahn

The reaction-diffusion master equation (RDME) is commonly used to model processes where both the spatial and stochastic nature of chemical reactions need to be considered. We show that the RDME in many cases is inconsistent with a…

Quantitative Methods · Quantitative Biology 2009-05-29 Paul Sjoberg , Otto G Berg , Johan Elf

RDD (Regression discontinuity design) is a widely used framework for identifying and estimating causal effects at the cutoff of a single running variable. In practice, however, decision-making often involves multiple thresholds and…

The Resistive Plate Chamber (RPC) muon subsystem contributes significantly to the formation of the trigger decision and reconstruction of the muon trajectory parameters. Simulation of the RPC response is a crucial part of the entire CMS…

Large Language Models (LLMs) have shown remarkable promise in reasoning and decision-making, yet their integration with Reinforcement Learning (RL) for complex robotic tasks remains underexplored. In this paper, we propose an LLM-guided…

Machine Learning · Computer Science 2025-03-26 Chak Lam Shek , Pratap Tokekar

This paper applies the Recursive Projection Method (RPM) to the problem of finding the effective mechanical response of a periodic heterogeneous solid. Previous works apply the Fast Fourier Transform (FFT) in combination with various…

Computational Engineering, Finance, and Science · Computer Science 2020-03-18 Xiaoyao Peng , Dhriti Nepal , Kaushik Dayal

In this paper we propose an enhanced version of the residual sub-sampling method (RSM) in [9] for adaptive interpolation by radial basis functions (RBFs). More precisely, we introduce in the context of sub-sampling methods a maximum profile…

Numerical Analysis · Mathematics 2022-03-29 R. Cavoretto A. De Rossi

Without loss of generality, existing machine learning techniques may learn spurious correlation dependent on the domain, which exacerbates the generalization of models in out-of-distribution (OOD) scenarios. To address this issue, recent…

Machine Learning · Computer Science 2024-06-18 Bin Qin , Jiangmeng Li , Yi Li , Xuesong Wu , Yupeng Wang , Wenwen Qiang , Jianwen Cao

In this paper, the surface of revolution discrete element method (SR-DEM) is introduced to simulate systems of particles with closed surfaces of revolution. Due to the cylindrical symmetry of a surface of revolution, the geometry of any…

Computational Engineering, Finance, and Science · Computer Science 2024-01-09 Fei-Liang Yuan

In this paper, we present a data-driven model for estimating optimal rework policies in manufacturing systems. We consider a single production stage within a multistage, lot-based system that allows for optional rework steps. While the…

Machine Learning · Computer Science 2024-06-21 Philipp Schwarz , Oliver Schacht , Sven Klaassen , Daniel Grünbaum , Sebastian Imhof , Martin Spindler

Water scarcity and the low quality of wastewater produced in industrial applications present significant challenges, particularly in managing fresh water intake and reusing residual quantities. These issues affect various industries,…

Optimization and Control · Mathematics 2025-04-25 Stavros Vatikiotis , Ioannis Avgerinos , Stathis Plitsos , Georgios Zois

Additive Manufacturing (AM) processes intended for large scale components deposit large volumes of material to shorten process duration. This reduces the resolution of the AM process, which is typically defined by the size of the deposition…

Computational Geometry · Computer Science 2021-05-19 Eduardo Fernández , Can Ayas , Matthijs Langelaar , Pierre Duysinx

Intelligent reflecting surface (IRS)-assisted mobile edge computing (MEC) systems have shown notable improvements in efficiency, such as reduced latency, higher data rates, and better energy efficiency. However, the resource competition…

Signal Processing · Electrical Eng. & Systems 2026-04-28 Yinyu Wu , Xuhui Zhang , Yingchao Jiao , Jinke Ren , Yanyan Shen , Bo Yang , Shuqiang Wang , Dusit Niyato

The Process Reward Model (PRM) plays a crucial role in mathematical reasoning tasks, requiring high-quality supervised process data. However, we observe that reasoning steps generated by Large Language Models (LLMs) often fail to exhibit…

Artificial Intelligence · Computer Science 2025-08-25 Yulan Hu , Sheng Ouyang , Jinman Zhao , Yong Liu

Large language models (LLMs) frequently generate multiple candidate responses for a given prompt, yet selecting the most reliable one remains challenging, especially when correctness diverges from surface-level majority agreement. Existing…

Computation and Language · Computer Science 2026-04-15 Manh Nguyen , Sunil Gupta , Hung Le