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检索条件"机构=Program In Applied and Computational Mathematics"
1034 条 记 录,以下是51-60 订阅
排序:
Fast, Accurate and Memory-Efficient Partial Permutation Synchronization
arXiv
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arXiv 2022年
作者: Li, Shaohan Shi, Yunpeng Lerman, Gilad School of Mathematics University of Minnesota United States Program in Applied and Computational Mathematics Princeton University United States
MSC Codes 90C26, 90C10, 90C17, 68Q87, 65C20Previous partial permutation synchronization (PPS) algorithms, which are commonly used for multi-object matching, often involve computation-intensive and memory-demanding mat... 详细信息
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A SINGULAR TWO-PHASE STEFAN PROBLEM AND PARTICLES INTERACTING THROUGH THEIR HITTING TIMES
arXiv
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arXiv 2022年
作者: Baker, Graeme Shkolnikov, Mykhaylo Program in Applied & Computational Mathematics Princeton University PrincetonNJ08544 United States ORFE Department Bendheim Center for Finance and Program in Applied & Computational Mathematics Princeton University PrincetonNJ08544 United States
We consider a probabilistic formulation of a singular two-phase Stefan problem in one space dimension, which amounts to a coupled system of two McKean-Vlasov stochastic differential equations. In the financial context... 详细信息
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Cosserat elasticity as the weak-field limit of Einstein-Cartan relativity
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Physical Review D 2024年 第10期109卷 104052-104052页
作者: Matthew Maitra Jeroen Tromp Institut für Geophysik ETH Zürich Sonneggstrasse 5 Zürich 8092 Switzerland Department of Geosciences Program in Applied and Computational Mathematics Princeton University Princeton 08540 NJ United States
The weak-field limit of Einstein-Cartan (EC) relativity is studied. The equations of EC theory are rewritten such that they formally resemble those of Einstein general relativity (EGR); this allows ideas from post-New... 详细信息
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Physics-informed machine learning with smoothed particle hydrodynamics: Hierarchy of reduced Lagrangian models of turbulence
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Physical Review Fluids 2023年 第5期8卷 054602-054602页
作者: Michael Woodward Yifeng Tian Criston Hyett Chris Fryer Mikhail Stepanov Daniel Livescu Michael Chertkov Graduate Interdisciplinary Program in Applied Mathematics University of Arizona Tucson Arizona 85721 USA Department of Mathematics University of Arizona Tucson Arizona 85721 USA Computer Computational and Statistical Sciences Division LANL Los Alamos New Mexico 87544 USA
Building efficient, accurate, and generalizable reduced-order models of developed turbulence remains a major challenge. This manuscript approaches this problem by developing a hierarchy of parameterized reduced Lagran... 详细信息
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Coarse-grained spectral projection: A deep learning assisted approach to quantum unitary dynamics
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Physical Review B 2021年 第2期103卷 024304-024304页
作者: Pinchen Xie Weinan E Department of Mathematics and Program in Applied and Computational Mathematics Princeton University New Jersey 08544 USA
We propose the coarse-grained spectral projection method (CGSP), a deep learning assisted approach for tackling quantum unitary dynamic problems with an emphasis on quench dynamics. We show that CGSP can extract spect... 详细信息
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Learning algorithms for mean field optimal control
arXiv
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arXiv 2025年
作者: Soner, H. Mete Teichmann, Josef Yan, Qinxin Department of Operations Research and Financial Engineering Princeton University PrincetonNJ08540 United States Department of Mathematics ETH Zürich Switzerland Program in Applied and Computational Mathematics Princeton University PrincetonNJ08540 United States
We analyze an algorithm to numerically solve the mean-field optimal control problems by approximating the optimal feedback controls using neural networks with problem specific architectures. We approximate the model b... 详细信息
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A Stochastic Approximate Expectation-Maximization for Structure Determination Directly from Cryo-EM Micrographs
arXiv
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arXiv 2023年
作者: Kreymer, Shay Singer, Amit Bendory, Tamir The School of Electrical Engineering Tel Aviv University Tel Aviv Israel The Department of Mathematics and Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States
A single-particle cryo-electron microscopy (cryoEM) measurement, called a micrograph, consists of multiple two-dimensional tomographic projections of a three-dimensional molecular structure at unknown locations, taken... 详细信息
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Neural network representation of electronic structure from ab initio molecular dynamics
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Science Bulletin 2022年 第1期67卷 29-37,M0003页
作者: Qiangqiang Gu Linfeng Zhang Ji Feng International Center for Quantum Materials School of PhysicsPeking UniversityBeijing 100871China Department of Mathematics and Program in Applied and Computational Mathematics Princeton UniversityPrincetonNJ 08544USA Collaborative Innovation Center of Quantum Matter Beijing 100871China
Despite their rich information content,electronic structure data amassed at high volumes in ab initio molecular dynamics simulations are generally *** introduce a transferable high-fidelity neural network representati... 详细信息
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Can Shallow Neural Networks Beat the Curse of Dimensionality? A Mean Field Training Perspective
IEEE Transactions on Artificial Intelligence
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IEEE Transactions on Artificial Intelligence 2020年 第2期1卷 121-129页
作者: Wojtowytsch, Stephan Weinan, E. The Program of Applied and Computational Mathematics Princeton University Princeton 08544 NJ United States The Department of Mathematics The Program of Applied and Computational Mathematics Princeton University Princeton 08544 NJ United States
We prove that the gradient descent training of a two-layer neural network on empirical or population risk may not decrease population risk at an order faster than t−4/(d−2) under mean field scaling. The loss functiona... 详细信息
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STEFAN PROBLEM WITH SURFACE TENSION: UNIQUENESS OF PHYSICAL SOLUTIONS UNDER RADIAL SYMMETRY
arXiv
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arXiv 2023年
作者: Guo, Yucheng Nadtochiy, Sergey Shkolnikov, Mykhaylo Department of Applied Mathematics Illinois Institute of Technology ChicagoIL60616 United States ORFE Department Bendheim Center for Finance Program in Applied & Computational Mathematics Princeton University PrincetonNJ08544 United States
We study the Stefan problem with surface tension and radially symmetric initial data. In this context, the notion of a so-called physical solution, which exists globally despite the inherent blow-ups of the melting ra... 详细信息
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