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检索条件"机构=Program In Applied and Computational Mathematics"
1029 条 记 录,以下是161-170 订阅
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Hyperuniformity scaling of maximally random jammed packings of two-dimensional binary disks
arXiv
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arXiv 2024年
作者: Maher, Charles Emmett Torquato, Salvatore Department of Chemistry Princeton University PrincetonNJ08544 United States Department of Physics Princeton University PrincetonNJ08544 United States Princeton Institute for the Science and Technology of Materials Princeton University PrincetonNJ08544 United States Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States
Jammed (mechanically rigid) polydisperse circular-disk packings in two dimensions (2D) are popular models for structural glass formers. Maximally random jammed (MRJ) states, which are the most disordered packings subj... 详细信息
来源: 评论
Bayesian Parameter Inference for Partially Observed Diffusions using Multilevel Stochastic Runge-Kutta Methods
arXiv
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arXiv 2023年
作者: Moral, Pierre Del Hu, Shulan Jasra, Ajay Ruzayqat, Hamza Wang, Xinyu Institut de Mathematiques de Bordeaux FR Bordeaux33405 France School of Mathematics and Statistics Wenlan School of Business China Applied Mathematics and Computational Science Program Computer Electrical and Mathematical Sciences and Engineering Division King Abdullah University of Science and Technology Thuwal23955-6900 Saudi Arabia Zhongnan University of Economics and Law CN China
We consider the problem of Bayesian estimation of static parameters associated to a partially and discretely observed diffusion process. We assume that the exact transition dynamics of the diffusion process are unavai... 详细信息
来源: 评论
Alignment of density maps in Wasserstein distance
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Biological imaging 2024年 4卷 e5页
作者: Amit Singer Ruiyi Yang Department of Mathematics Princeton University Princeton NJ USA. Program in Applied and Computational Mathematics Princeton University Princeton NJ USA.
In this article, we propose an algorithm for aligning three-dimensional objects when represented as density maps, motivated by applications in cryogenic electron microscopy. The algorithm is based on minimizing the 1-... 详细信息
来源: 评论
A Molecular Prior Distribution for Bayesian Inference Based on Wilson Statistics
arXiv
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arXiv 2022年
作者: Gilles, Marc Aurèle Singer, Amit Program in Applied and Computational Mathematics Princeton University Fine Hall Washington Road Princeton NJ08544-1000 United States Department of Mathematics and PACM Princeton University Fine Hall Washington Road Princeton NJ08544-1000 United States
Background and Objective: Wilson statistics describe well the power spectrum of proteins at high frequencies. Therefore, it has found several applications in structural biology, e.g., it is the basis for sharpening st... 详细信息
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Three-dimensional construction of hyperuniform, nonhyperuniform, and antihyperuniform disordered heterogeneous materials and their transport properties via spectral density functions
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Physical Review E 2025年 第3期111卷 035310-035310页
作者: Wenlong Shi Yang Jiao Salvatore Torquato Materials Science and Engineering Arizona State University Tempe Arizona 85287 USA Department of Physics Arizona State University Tempe Arizona 85287 USA Department of Chemistry Princeton University Princeton New Jersey 08544 USA Department of Physics Princeton University Princeton New Jersey 08544 USA Princeton Institute of Materials Princeton University Princeton New Jersey 08544 USA Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA
Rigorous theories connecting physical properties of a heterogeneous material to its microstructure offer a promising avenue to guide the computational material design and optimization. The spectral density function χ... 详细信息
来源: 评论
Energy stability of the Charney-DeVore quasi-geostrophic equation for atmospheric blocking
arXiv
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arXiv 2021年
作者: Chen, Zhi-Min Xiong, Xiangming School of Mathematics and Statistics Shenzhen University Shenzhen518060 China The Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States
Charney and DeVore [J. Atmos. Sci. 36 (1979), 1205-1216] found multiple equilibrium states as a consequence of bottom topography in their pioneering work on the quasi-geostrophic barotropic flow over topography in a ... 详细信息
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DeePKS+ABACUS as a Bridge between Expensive Quantum Mechanical Models and Machine Learning Potentials
arXiv
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arXiv 2022年
作者: Li, Wenfei Ou, Qi Chen, Yixiao Cao, Yu Liu, Renxi Zhang, Chunyi Zheng, Daye Cai, Chun Wu, Xifan Wang, Han Chen, Mohan Zhang, Linfeng AI for Science Institute Beijing100080 China Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States HEDPS CAPT College of Engineering School of Physics Peking University Beijing100871 China Department of Physics Temple University PhiladelphiaPA19122 United States Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics Huayuan Road 6 Beijing100088 China DP Technology Beijing100080 China
Recently, the development of machine learning (ML) potentials has made it possible to perform large-scale and long-time molecular simulations with the accuracy of quantum mechanical (QM) models. However, for high-leve... 详细信息
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CONVERGENCE SPEED AND APPROXIMATION ACCURACY OF NUMERICAL MCMC
arXiv
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arXiv 2022年
作者: Cui, Tiangang Dong, Jing Jasra, Ajay Tong, Xin T. School of Mathematics Monash University Australia Graduate School of Business Columbia University United States Applied Mathematics and Computational Science Program Computer Electrical Mathematical Sciences and Engineering Division King Abdullah University of Science and Technology Saudi Arabia Department of Mathematics National University of Singapore Singapore
When implementing Markov Chain Monte Carlo (MCMC) algorithms, perturbation caused by numerical errors is sometimes inevitable. This paper studies how perturbation of MCMC affects the convergence speed and Monte Carlo ... 详细信息
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INTERACTION OF THE PRIMITIVE EQUATIONS WITH SEA ICE DYNAMICS
arXiv
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arXiv 2022年
作者: Binz, Tim Brandt, Felix Hieber, Matthias Princeton University Program in Applied & Computational Mathematics Fine Hall Washington Road PrincetonNJ08544 United States Technische Universität Darmstadt Schloßgartenstraße 7 Darmstadt64289 Germany
This article establishes local strong well-posedness and global strong well-posedness close to constant equilibria of a model coupling the primitive equations of ocean and atmospheric dynamics with Hibler's viscou... 详细信息
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Generalization error of GAN from the discriminator's perspective
arXiv
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arXiv 2021年
作者: Yang, Hongkang Weinan, E. Program in Applied and Computational Mathematics Princeton University United States Department of Mathematics Princeton University United States Beijing Institute of Big Data Research China
The generative adversarial network (GAN) is a well-known model for learning high-dimensional distributions, but the mechanism for its generalization ability is not understood. In particular, GAN is vulnerable to the m... 详细信息
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