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相关论文: A Data-Driven Parametric Reduced-Order Chemical Ki…

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Mechanical systems are often characterized only by their response to certain loads known from experiments or simulations. The obtained data can be used for various purposes: system analysis, design of mathematical models, or construction of…

动力系统 · 数学 2026-01-05 Yevgeniya Filanova , Igor Pontes Duff , Pawan Goyal , Peter Benner

Climate models play a critical role in understanding and projecting climate change. Due to their complexity, their horizontal resolution of about 40-100 km remains too coarse to resolve processes such as clouds and convection, which need to…

机器学习 · 计算机科学 2025-03-18 Birgit Kühbacher , Fernando Iglesias-Suarez , Niki Kilbertus , Veronika Eyring

With the rise of deep neural networks for quantum chemistry applications, there is a pressing need for architectures that, beyond delivering accurate predictions of chemical properties, are readily interpretable by researchers. Here, we…

Recent advances in artificial intelligence have propelled the development of innovative computational materials modeling and design techniques. Generative deep learning models have been used for molecular representation, discovery, and…

化学物理 · 物理学 2021-02-12 Navid Shervani-Tabar , Nicholas Zabaras

Atomic-scale modeling has advanced rapidly through integration of machine learning, yet a key bottleneck remains. Even with an accurate potential energy surface and a clear target material, we still lack a practical atomistic dynamics…

材料科学 · 物理学 2026-05-18 Wonseok Jeong , Francesca Tavazza , Brian DeCost

A new framework of thermodynamic modeling is proposed by introducing the concept of differentiable programming, where all the thermodynamic observables including both thermochemical quantities and phase equilibria can be differentiated with…

材料科学 · 物理学 2021-02-23 Pin-Wen Guan

Accurately modeling chemical reactions at the atomistic level requires high-level electronic structure theory due to the presence of unpaired electrons and the need to properly describe bond breaking and making energetics. Commonly used…

Large scale dynamical systems (e.g. many nonlinear coupled differential equations) can often be summarized in terms of only a few state variables (a few equations), a trait that reduces complexity and facilitates exploration of behavioral…

Highly accurate simulations of complex phenomena governed by partial differential equations (PDEs) typically require intrusive methods and entail expensive computational costs, which might become prohibitive when approximating steady-state…

机器学习 · 计算机科学 2023-05-17 Paolo Conti , Giorgio Gobat , Stefania Fresca , Andrea Manzoni , Attilio Frangi

Retrosynthesis analysis is a critical task in organic chemistry central to many important industries. Previously, various machine learning approaches have achieved promising results on this task by representing output molecules as strings…

定量方法 · 定量生物学 2022-09-20 Lei Fang , Junren Li , Ming Zhao , Li Tan , Jian-Guang Lou

Quantum simulation provides a powerful route for exploring many-body phenomena beyond the capabilities of classical computation. Existing approaches typically proceed in the forward direction: a model Hamiltonian is specified, implemented…

Given a set of solution snapshots of a hyperbolic PDE, we are interested in learning a reduced order model (ROM). To this end, we propose a novel decompose then learn approach. We decompose the solution by expressing it as a composition of…

数值分析 · 数学 2021-09-14 Neeraj Sarna , Peter Benner

Point defects in solid-state materials are now routinely simulated using large supercell structures, requiring efficient quantum mechanical solutions. Data-driven and machine learning (ML) models trained on computational data can enable…

材料科学 · 物理学 2026-05-26 Arun Mannodi-Kanakkithodi , Menglin Huang , Prashun Gorai , Seán R. Kavanagh

We present a method for computing reduced-order models of parameterized partial differential equation solutions. The key analytical tool is the singular value expansion of the parameterized solution, which we approximate with a singular…

数值分析 · 数学 2014-11-03 Paul G. Constantine , David F. Gleich , Yangyang Hou , Jeremy Templeton

The direct monitoring of a rotating detonation engine (RDE) combustion chamber has enabled the observation of combustion front dynamics that are composed of a number of co- and/or counter-rotating coherent traveling shock waves whose…

动力系统 · 数学 2021-05-19 Ariana Mendible , James Koch , Henning Lange , Steven L. Brunton , J. Nathan Kutz

Improving the efficiency and accuracy of energy calculations has been of significant and continued interest in the area of materials informatics, a field that applies machine learning techniques to computational materials data. Here, we…

量子物理 · 物理学 2021-02-03 Tanvi P. Gujarati , Tyler Takeshita , Andreas Hintennach , Eunseok Lee

Machine Learning (ML) techniques are revolutionizing the way to perform efficient materials modeling. Nevertheless, not all the ML approaches allow for the understanding of microscopic mechanisms at play in different phenomena. To address…

In many real-world settings, image observations of freely rotating 3D rigid bodies, such as satellites, may be available when low-dimensional measurements are not. However, the high-dimensionality of image data precludes the use of…

计算机视觉与模式识别 · 计算机科学 2023-08-24 Justice Mason , Christine Allen-Blanchette , Nicholas Zolman , Elizabeth Davison , Naomi Leonard

We present a neural-operator-accelerated concurrent multiscale framework that couples atomistic simulations with continuum finite-element analysis for history-dependent materials, thereby making atomistic-continuum multiscale simulations of…

材料科学 · 物理学 2026-03-31 Tanvir Sohail , Burigede Liu , Swarnava Ghosh

Molecular dynamics simulations provide theoretical insight into the microscopic behavior of materials in condensed phase and, as a predictive tool, enable computational design of new compounds. However, because of the large temporal and…

化学物理 · 物理学 2020-06-18 Wujie Wang , Rafael Gómez-Bombarelli
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