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Large-scale optimization problems are ubiquitous in the physical sciences; yet, high-fidelity models can often be complex and computationally prohibitive for optimization. A practical alternative is to use a low-fidelity model to facilitate…

数值分析 · 数学 2026-04-03 Madhusudan Madhavan , Joseph Hart , Bart van Bloemen Waanders

Differentiable physics provides a new approach for modeling and understanding the physical systems by pairing the new technology of differentiable programming with classical numerical methods for physical simulation. We survey the rapidly…

机器学习 · 计算机科学 2021-09-17 Bharath Ramsundar , Dilip Krishnamurthy , Venkatasubramanian Viswanathan

Understanding adaptive human driving behavior, in particular how drivers manage uncertainty, is of key importance for developing simulated human driver models that can be used in the evaluation and development of autonomous vehicles.…

机器人学 · 计算机科学 2023-11-14 Johan Engström , Ran Wei , Anthony McDonald , Alfredo Garcia , Matt O'Kelly , Leif Johnson

In many classification problems, we want a classifier that is robust to a range of non-semantic transformations. For example, a human can identify a dog in a picture regardless of the orientation and pose in which it appears. There is…

机器学习 · 计算机科学 2021-12-20 Scott Mahan , Tim Doster , Henry Kvinge

In many computational problems in engineering and science, function or model differentiation is essential, but also integration is needed. An important class of computational problems include so-called integro-differential equations which…

量子物理 · 物理学 2022-06-29 Niraj Kumar , Evan Philip , Vincent E. Elfving

Action-labeled data for robotics is scarce and expensive, limiting the generalization of learned policies. In contrast, vast amounts of action-free video data are readily available, but translating these observations into effective policies…

机器人学 · 计算机科学 2025-06-18 Jeremy A. Collins , Loránd Cheng , Kunal Aneja , Albert Wilcox , Benjamin Joffe , Animesh Garg

The fast simulation of dynamical systems is a key challenge in many scientific and engineering applications, such as weather forecasting, disease control, and drug discovery. With the recent success of deep learning, there is increasing…

机器学习 · 计算机科学 2024-10-02 Zezheng Song , Jiaxin Yuan , Haizhao Yang

Non-holonomic vehicle motion has been studied extensively using physics-based models. Common approaches when using these models interpret the wheel/ground interactions using a linear tire model and thus may not fully capture the nonlinear…

机器人学 · 计算机科学 2022-07-19 Taekyung Kim , Hojin Lee , Wonsuk Lee

We introduce a comprehensive data-driven framework aimed at enhancing the modeling of physical systems, employing inference techniques and machine learning enhancements. As a demonstrative application, we pursue the modeling of cathodic…

Operator learning for complex nonlinear systems is increasingly common in modeling multi-physics and multi-scale systems. However, training such high-dimensional operators requires a large amount of expensive, high-fidelity data, either…

数值分析 · 数学 2023-11-22 Amanda A. Howard , Mauro Perego , George E. Karniadakis , Panos Stinis

Physics-informed deep operator networks (DeepONets) have emerged as a promising approach toward numerically approximating the solution of partial differential equations (PDEs). In this work, we aim to develop further understanding of what…

机器学习 · 计算机科学 2024-11-28 Emily Williams , Amanda Howard , Brek Meuris , Panos Stinis

Rapid and accurate flood extent mapping from Remote Sensing data, such as Synthetic Aperture Radar (SAR), is critical for operational disaster response, but standard Deep Learning models often produce physically impossible predictions due…

机器学习 · 计算机科学 2026-05-26 Tewodros Syum Gebre , Jagrati Talreja , Matilda Anokye , Leila Hashemi-Beni

This work presents a hybrid modeling approach to data-driven learning and representation of unknown physical processes and closure parameterizations. These hybrid models are suitable for situations where the mechanistic description of…

计算物理 · 物理学 2021-08-17 Suraj Pawar , Omer San , Adil Rasheed , Ionel M. Navon

Recent work in scientific machine learning has developed so-called physics-informed neural network (PINN) models. The typical approach is to incorporate physical domain knowledge as soft constraints on an empirical loss function and use…

机器学习 · 计算机科学 2021-11-12 Aditi S. Krishnapriyan , Amir Gholami , Shandian Zhe , Robert M. Kirby , Michael W. Mahoney

Dynamic neural networks are a recent technique that promises a remedy for the increasing size of modern deep learning models by dynamically adapting their computational cost to the difficulty of the inputs. In this way, the model can adjust…

机器学习 · 计算机科学 2023-12-11 Lassi Meronen , Martin Trapp , Andrea Pilzer , Le Yang , Arno Solin

This work presents a formalism to improve the predictive accuracy of physical models by learning generalizable augmentations from sparse data. Building on recent advances in data-driven turbulence modeling, the present approach, referred to…

流体动力学 · 物理学 2021-07-28 Vishal Srivastava , Karthik Duraisamy

What do data tell us about physics-and what don't they tell us? There has been a surge of interest in using machine learning models to discover governing physical laws such as differential equations from data, but current methods lack…

机器学习 · 计算机科学 2020-06-09 Steven Atkinson

In the present work, a machine learning based constitutive model for electro-mechanically coupled material behavior at finite deformations is proposed. Using different sets of invariants as inputs, an internal energy density is formulated…

计算工程、金融与科学 · 计算机科学 2022-08-30 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

Deep neural networks are often ignorant about what they do not know and overconfident when they make uninformed predictions. Some recent approaches quantify classification uncertainty directly by training the model to output high…

机器学习 · 计算机科学 2020-06-09 Murat Sensoy , Lance Kaplan , Federico Cerutti , Maryam Saleki

Foundation models for partial differential equations (PDEs) have emerged as powerful surrogates pre-trained on diverse physical systems, but adapting them to new downstream tasks remains challenging due to limited task-specific data and…

机器学习 · 计算机科学 2026-03-17 Vlad Medvedev , Leon Armbruster , Christopher Straub , Georg Kruse , Andreas Rosskopf
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