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Surrogate models are used for global approximation of responses generated by expensive computer experiments like CFD applications. In this paper, we make use of structural similarities which are shared by a class of related problems. We…

Numerical Analysis · Mathematics 2012-06-20 Benjamin Rosenbaum , Volker Schulz

Molecular dynamics simulations are powerful tools to extract the microscopic mechanisms characterizing the properties of soft materials. We recently introduced machine learning surrogates for molecular dynamics simulations of soft materials…

Soft Condensed Matter · Physics 2021-10-29 J. C. S. Kadupitiya , Nasim Anousheh , Vikram Jadhao

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

Optimization and uncertainty quantification have been playing an increasingly important role in computational hemodynamics. However, existing methods based on principled modeling and classic numerical techniques have faced significant…

Medical Physics · Physics 2022-09-07 Pan Du , Xiaozhi Zhu , Jian-Xun Wang

Signal processing traditionally relies on classical statistical modeling techniques. Such model-based methods utilize mathematical formulations that represent the underlying physics, prior information and additional domain knowledge. Simple…

Signal Processing · Electrical Eng. & Systems 2023-06-08 Nir Shlezinger , Yonina C. Eldar

Medical ultrasound imaging relies heavily on high-quality signal processing to provide reliable and interpretable image reconstructions. Conventionally, reconstruction algorithms where derived from physical principles. These algorithms rely…

Signal Processing · Electrical Eng. & Systems 2023-09-21 Ben Luijten , Nishith Chennakeshava , Yonina C. Eldar , Massimo Mischi , Ruud J. G. van Sloun

Recent advancements in Machine Learning (ML) have substantially improved its predictive and computational abilities, offering promising opportunities for surrogate modeling in scientific applications. By accurately approximating complex…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-28 Zane Fink , Konstantinos Parasyris , Praneet Rathi , Giorgis Georgakoudis , Harshitha Menon , Peer-Timo Bremer

During the design process of an autonomous underwater vehicle (AUV), the pressure vessel has a critical role. The pressure vessel contains dry electronics, power sources, and other sensors that can not be flooded. A traditional design…

Machine Learning · Computer Science 2022-07-12 Harsh Vardhan , Janos Sztipanovits

The topic of provable deep neural network robustness has raised considerable interest in recent years. Most research has focused on adversarial robustness, which studies the robustness of perceptive models in the neighbourhood of particular…

Machine Learning · Computer Science 2019-11-26 Julien Girard-Satabin , Guillaume Charpiat , Zakaria Chihani , Marc Schoenauer

Embedding of large but redundant data, such as images or text, in a hierarchy of lower-dimensional spaces is one of the key features of representation learning approaches, which nowadays provide state-of-the-art solutions to problems once…

Computer Vision and Pattern Recognition · Computer Science 2022-06-13 Gianluca Berardi , Luca De Luigi , Samuele Salti , Luigi Di Stefano

In recent years, an ever-increasing number of remote satellites are orbiting the Earth which streams vast amount of visual data to support a wide range of civil, public and military applications. One of the key information obtained from…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Kang Zhao , Muhammad Kamran , Gunho Sohn

Deep-learning has achieved good performance and shown great potential for solving forward and inverse problems. In this work, two categories of innovative deep-learning based inverse modeling methods are proposed and compared. The first…

Signal Processing · Electrical Eng. & Systems 2021-04-28 Nanzhe Wang , Haibin Chang , Dongxiao Zhang

We present a neural network-based simulation super-resolution framework that can efficiently and realistically enhance a facial performance produced by a low-cost, realtime physics-based simulation to a level of detail that closely…

Traditional simulations on High-Performance Computing (HPC) systems typically involve modeling very large domains and/or very complex equations. HPC systems allow running large models, but limits in performance increase that have become…

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

Direct numerical simulation of hierarchical materials via homogenization-based concurrent multiscale models poses critical challenges for 3D large scale engineering applications, as the computation of highly nonlinear and path-dependent…

Computational Engineering, Finance, and Science · Computer Science 2022-12-29 Shiguang Deng

With advancements in GPS, remote sensing, and computational simulation, an enormous volume of spatiotemporal data is being collected at an increasing speed from various application domains, spanning Earth sciences, agriculture, smart…

Machine Learning · Computer Science 2023-11-01 Zhe Jiang

In this paper we introduce a novel way of estimating prediction uncertainty in deep networks through the use of uncertainty surrogates. These surrogates are features of the penultimate layer of a deep network that are forced to match…

Machine Learning · Computer Science 2021-04-19 Radhakrishna Achanta , Natasa Tagasovska

Simulators often provide the best description of real-world phenomena. However, they also lead to challenging inverse problems because the density they implicitly define is often intractable. We present a new suite of simulation-based…

Machine Learning · Statistics 2020-02-25 Johann Brehmer , Gilles Louppe , Juan Pavez , Kyle Cranmer

High-fidelity numerical simulations of chaotic, high dimensional nonlinear dynamical systems are computationally expensive, necessitating the development of efficient surrogate models. Most surrogate models for such systems are…

Machine Learning · Computer Science 2026-03-16 Dibyajyoti Chakraborty , Hojin Kim , Romit Maulik