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检索条件"机构=Program in Applied and Computational Mathematics"
1033 条 记 录,以下是551-560 订阅
排序:
Stability of the Inviscid Power-Law Vortex
arXiv
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arXiv 2024年
作者: Binz, Tim Coiculescu, Matei P. Princeton University Program in Applied & Computational Mathematics Fine Hall Washington Road PrincetonNJ08544 United States Princeton University Department of Mathematics Fine Hall Washington Road PrincetonNJ08544 United States
We prove that the power-law vortex ω¯ (x) = β|x|−α, which explicitly solves the stationary unforced incompressible Euler equations in R2 in both physical and self-similar coordinates, is exponentially linearly... 详细信息
来源: 评论
Recovering Signals from their FROG Trace
Recovering Signals from their FROG Trace
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IEEE International Conference on Acoustics, Speech and Signal Processing
作者: Tamir Bendory Dan Edidin Yonina C. Eldar The Program in Applied and Computational Mathematics Princeton University Princeton NJ USA Department of Mathematics University of Missouri Columbia Missouri USA The Andrew and Erna Viterbi Faculty of Electrical Engineering Technion - Israel Institute of Technology Haifa Israel
The problem of recovering a signal from its power spectrum is called phase retrieval. This problem appears in a variety of scientific applications, such as ultra-short laser pulse characterization and diffraction imag... 详细信息
来源: 评论
A deep potential model with long-range electrostatic interactions
arXiv
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arXiv 2021年
作者: Zhang, Linfeng Wang, Han Muniz, Maria Carolina Panagiotopoulos, Athanassios Z. Car, Roberto Weinan, E. DP Technology Beijing China Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics Fenghao East Road 2 Beijing100094 China HEDPS CAPT College of Engineering Peking University Beijing100871 China Department of Chemical and Biological Engineering Princeton University PrincetonNJ08544 United States Department of Chemistry Department of Physics Program in Applied and Computational Mathematics Princeton Institute for the Science and Technology of Materials Princeton University PrincetonNJ08544 United States School of Mathematical Sciences Peking University Beijing100871 China AI for Science Institute Beijing China Department of Mathematics and Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States
Machine learning models for the potential energy of multi-atomic systems, such as the deep potential (DP) model, make possible molecular simulations with the accuracy of quantum mechanical density functional theory, a... 详细信息
来源: 评论
Preconditioned BFGS-based uncertainty quantification in elastic full waveform inversion
arXiv
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arXiv 2020年
作者: Liu, Qiancheng Beller, Stephen Lei, Wenjie Peter, Daniel Tromp, Jeroen Department of Geosciences Princeton University PrincetonNJ08544 United States Thuwal Saudi Arabia Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States
Full Waveform Inversion (FWI) has become an essential technique for mapping geophysical subsurface structures. However, proper uncertainty quantification is often lacking in current applications. In theory, uncertaint... 详细信息
来源: 评论
Empowering Optimal Control with Machine Learning: A Perspective from Model Predictive Control
arXiv
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arXiv 2022年
作者: Weinan, E. Han, Jiequn Long, Jihao AI for Science Institute Beijing China Center for Machine Learning Research School of Mathematical Sciences Peking University Beijing China Center for Computational Mathematics Flatiron Institute New York10010 United States Program of Applied and Computational Mathematics Princeton University Princeton08544 United States
Solving complex optimal control problems have confronted computational challenges for a long time. Recent advances in machine learning have provided us with new opportunities to address these challenges. This paper ta... 详细信息
来源: 评论
Viscosity Solutions for McKean-Vlasov Control I: one-dimensional torus
arXiv
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arXiv 2022年
作者: Soner, H. Mete Yan, Qinxin Department of Operations Research and Financial Engineering Princeton University PrincetonNJ08540 United States Program in Applied and Computational Mathematics Princeton University PrincetonNJ08540 United States
An optimal control problem in the space of probability measures, and the viscosity solutions of the corresponding dynamic programming equations defined using the intrinsic linear derivative are studied. The value func... 详细信息
来源: 评论
On Phase Reduction and Time Period of Noisy Oscillators
On Phase Reduction and Time Period of Noisy Oscillators
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IEEE Annual Conference on Decision and Control
作者: Zahra Aminzare Philip Holmes Vaibhav Srivastava Department of Mathematics University of Iowa IA USA Program in Applied and Computational Mathematics Princeton Neuroscience Institute Princeton University Princeton NJ USA Electrical and Computer Engineering Michigan State University East Lansing MI USA
We study phase reduction for noisy oscillator models by deriving a reduced order stochastic differential equation describing the phase evolution using the first and second order Phase Response Curves (PRCs). We discus... 详细信息
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Modeling subgrid-scale forces by spatial artificial neural networks in large eddy simulation of turbulence
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Physical Review Fluids 2020年 第5期5卷 054606-054606页
作者: Chenyue Xie Jianchun Wang Weinan E Shenzhen Key Laboratory of Complex Aerospace Flows Center for Complex Flows and Soft Matter Research Department of Mechanics and Aerospace Engineering Southern University of Science and Technology Shenzhen 518055 People's Republic of China Department of Mathematics Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA
Spatial artificial neural network (ANN) models are developed for subgrid-scale (SGS) forces in the large eddy simulation (LES) of turbulence. The input features are based on the first-order derivatives of the filtered... 详细信息
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Fluid permeabilities of triply periodic minimal surfaces
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Physical Review E 2005年 第5期72卷 056319-056319页
作者: Y. Jung S. Torquato Princeton Institute for the Science and Technology of Materials Princeton University Princeton New Jersey 08544 USA Department of Chemistry Princeton University Princeton New Jersey 08544 USA Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA
It has recently been shown that triply periodic two-phase bicontinuous composites with interfaces that are the Schwartz primitive (P) and diamond (D) minimal surfaces are not only geometrically extremal but extremal f... 详细信息
来源: 评论
Causal models on probability spaces
arXiv
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arXiv 2019年
作者: Cabreros, Irineo Storey, John D. Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States Lewis-Sigler Institute for Integrative Genomics Princeton University PrincetonNJ08544 United States
We describe the interface between measure theoretic probability and causal inference by constructing causal models on probability spaces within the potential outcomes framework. We find that measure theory provides a ... 详细信息
来源: 评论