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Time-dependent partial differential equations (PDEs) are ubiquitous in science and engineering. Recently, mostly due to the high computational cost of traditional solution techniques, deep neural network based surrogates have gained…

Machine Learning · Computer Science 2023-10-24 Phillip Lippe , Bastiaan S. Veeling , Paris Perdikaris , Richard E. Turner , Johannes Brandstetter

Deep learning surrogate modeling shows great promise for subsurface flow applications, but the training demands can be substantial. Here we introduce a new surrogate modeling framework to predict CO2 saturation, pressure and surface…

Machine Learning · Computer Science 2024-08-21 Yifu Han , Francois P. Hamon , Louis J. Durlofsky

Deep Reinforcement Learning (DRL) has become a popular method for solving control problems in power systems. Conventional DRL encourages the agent to explore various policies encoded in a neural network (NN) with the goal of maximizing the…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Tong Wu , Anna Scaglione , Daniel Arnold

Changes in demand, various hydrological inputs, and environmental stressors are among the issues that water managers and policymakers face on a regular basis. These concerns have sparked interest in applying different techniques to…

Machine Learning · Computer Science 2024-03-08 Sadegh Sadeghi Tabas , Vidya Samadi

A surrogate-based topology optimisation algorithm for linear elastic structures under parametric loads and boundary conditions is proposed. Instead of learning the parametric solution of the state (and adjoint) problems or the optimisation…

Numerical Analysis · Mathematics 2025-11-04 Matteo Giacomini , Antonio Huerta

Assessing the safety and environmental impacts of subsurface resource exploitation and management is critical and requires robust geomechanical modeling. However, uncertainties stemming from model assumptions, intrinsic variability of…

Numerical Analysis · Mathematics 2025-02-19 Caterina Millevoi , Claudia Zoccarato , Massimiliano Ferronato

We present efficient deep learning techniques for approximating flow and transport equations for both single phase and two-phase flow problems. The proposed methods take advantages of the sparsity structures in the underlying discrete…

Numerical Analysis · Mathematics 2020-01-08 Yating Wang , Guang Lin

Microchannel heat sinks are an efficient cooling method for semiconductor packages. However, to properly cool increasingly complex and thermally dense circuits, microchannel designs should be improved and expanded on. In this paper,…

Fluid Dynamics · Physics 2022-12-12 Ante Sikirica , Luka Grbčić , Lado Kranjčević

Systems governed by partial differential equations (PDEs) require computationally intensive numerical solvers to predict spatiotemporal field evolution. While machine learning (ML) surrogates offer faster solutions, autoregressive inference…

Machine Learning · Computer Science 2025-07-08 Ishan Khurjekar , Indrashish Saha , Lori Graham-Brady , Somdatta Goswami

We develop a proxy model based on deep learning methods to accelerate the simulations of oil reservoirs--by three orders of magnitude--compared to industry-strength physics-based PDE solvers. This paper describes a new architectural…

Machine Learning · Computer Science 2019-09-23 Jiri Navratil , Alan King , Jesus Rios , Georgios Kollias , Ruben Torrado , Andres Codas

The optimization problems in realistic world present significant challenges onto optimization algorithms, such as the expensive evaluation issue and complex constraint conditions. COBRA optimizer (including its up-to-date variants) is a…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Zipei Yu , Zhiyang Huang , Hongshu Guo , Yue-Jiao Gong , Zeyuan Ma

Neural networks have been applied to control problems, typically by combining data, differential equation residuals, and objective costs in the training loss or by incorporating auxiliary architectural components. Instead, we propose a…

Optimization and Control · Mathematics 2026-04-10 Oliver G. S. Lundqvist , Fabricio Oliveira

Decision support systems often rely on solving complex optimization problems that may require to estimate uncertain parameters beforehand. Recent studies have shown how using traditionally trained estimators for this task can lead to…

Machine Learning · Computer Science 2025-12-19 Gaetano Signorelli , Michele Lombardi

Statistical surrogate modeling of fluid flows is hard because dynamics are multiscale and highly sensitive to initial conditions. Conditional diffusion surrogates can be accurate, but usually need hundreds of stochastic sampling steps. We…

Machine Learning · Computer Science 2026-02-10 Victor Armegioiu , Yannick Ramic , Siddhartha Mishra

Parametric reduced-order modelling often serves as a surrogate method for hemodynamics simulations to improve the computational efficiency in many-query scenarios or to perform real-time simulations. However, the snapshots of the method…

Computational Engineering, Finance, and Science · Computer Science 2023-10-24 Dongwei Ye , Valeria Krzhizhanovskaya , Alfons G. Hoekstra

Hyperparameter optimization is both a practical issue and an interesting theoretical problem in training of deep architectures. Despite many recent advances the most commonly used methods almost universally involve training multiple and…

Machine Learning · Computer Science 2019-09-10 Vlad Pushkarov , Jonathan Efroni , Mykola Maksymenko , Maciej Koch-Janusz

Deep neural networks are powerful tools for solving nonlinear problems in science and engineering, but training highly accurate models becomes challenging as problem complexity increases. Non-convex optimization and sensitivity to…

Machine Learning · Computer Science 2026-04-20 Ethan Mulle , Wei Kang , Qi Gong

Due to complexity and dynamics of construction work, resource, and cash flows, poor management of them usually leads to time and cost overruns, bankruptcy, even project failure. Existing approaches in construction failed to achieve optimal…

Artificial Intelligence · Computer Science 2023-08-17 Can Jiang , Xin Li , Jia-Rui Lin , Ming Liu , Zhiliang Ma

Plastic injection molding remains essential to modern manufacturing. However, optimizing process parameters to balance product quality and profitability under dynamic environmental and economic conditions remains a persistent challenge.…

Artificial Intelligence · Computer Science 2025-05-19 Joon-Young Kim , Jecheon Yu , Heekyu Kim , Seunghwa Ryu

We present a framework for automatically structuring and training fast, approximate, deep neural surrogates of stochastic simulators. Unlike traditional approaches to surrogate modeling, our surrogates retain the interpretable structure and…

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