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检索条件"机构=The Program of Applied and Computational Mathematics"
1033 条 记 录,以下是471-480 订阅
排序:
Coarse-scale PDEs from fine-scale observations via machine learning
arXiv
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arXiv 2019年
作者: Lee, Seungjoon Kooshkbaghi, Mahdi Spiliotis, Konstantinos Siettos, Constantinos I. Kevrekidis, Ioannis G. Department of Chemical and Biomolecular Engineering Johns Hopkins University Program in Applied and Computational Mathematics Princeton University Institute of Mathematics University of Rostock Dipartimento di Matematica e Applicazioni "Renato Caccioppoli" Universitá degli Studi di Napoli Federico II
Complex spatiotemporal dynamics of physicochemical processes are often modeled at a microscopic level (through e.g. atomistic, agent-based or lattice models) based on first principles. Some of these processes can also... 详细信息
来源: 评论
GLOBAL SOLUTIONS TO THE SUPERCOOLED STEFAN PROBLEM WITH BLOW-UPS: REGULARITY AND UNIQUENESS
arXiv
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arXiv 2019年
作者: Delarue, François Nadtochiy, Sergey Shkolnikov, Mykhaylo Université Côte d’Azur CNRS Laboratoire J.A. Dieudonné Nice France Department of Applied Mathematics Illinois Institute of Technology ChicagoIL60616 United States ORFE Department Bendheim Center for Finance and Program in Applied & Computational Mathematics Princeton University PrincetonNJ08544 United States
We consider the supercooled Stefan problem, which captures the freezing of a supercooled liquid, in one space dimension. A probabilistic reformulation of the problem allows to define global solutions, even in the pres... 详细信息
来源: 评论
Connected coulomb columns: Analysis and numerics
arXiv
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arXiv 2020年
作者: Dondl, P. Novaga, M. Wojtowytsch, S. Wolff-Vorbeck, S. Abteilung für Angewandte Mathematik Albert-Ludwigs-Universität Freiburg Hermann-Herder-Str. 10 Freiburg i. Br.79104 Germany Dipartimento di Matematica Università di Pisa Largo Bruno Pontecorvo 5 Pisa56127 Italy Program in Applied and Computational Mathematics Princeton University 205 Fine Hall - Washington Road PrincetonNJ08544 United States
We consider a version of Gamow’s liquid drop model with a short range attractive perimeter-penalizing potential and a long-range Coulomb interaction of a uniformly charged mass in R3. Here we constrain ourselves to m...
来源: 评论
Realizable Hyperuniform and Nonhyperuniform Particle Configurations with Targeted Spectral Functions via Effective Pair Interactions
arXiv
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arXiv 2020年
作者: Zhang, Ge Torquato, Salvatore Department of Physics and Astronomy University of Pennsylvania PhiladelphiaPA19104 United States 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
The capacity to identify realizable many-body configurations associated with targeted functional forms for the pair correlation function g2(r) or its corresponding structure factor S(k) is of great fundamental and pra...
来源: 评论
From point patterns to networks: to what extent does the Delaunay triangulation reproduce key spatial and density information?
arXiv
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arXiv 2025年
作者: Newby, Eli Shi, Wenlong Jiao, Yang Torquato, Salvatore Albert, Réka Department of Physics Pennsylvania State University University ParkPA16802 United States Department of Cardiovascular and Metabolic Sciences Lerner Research Institute Cleveland Clinic ClevelandOH44195 United States Arizona State University TempeAZ85287 United States Department of Chemistry Princeton University PrincetonNJ08544 United States Department of Physics Princeton University PrincetonNJ08544 United States Princeton Institute of Materials Princeton University PrincetonNJ08544 United States Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States Department of Biology Pennsylvania State University University ParkPA16802 United States
To be used as an analysis tool, it is important that a spatial network’s construction algorithm reproduces the structural properties of the original physical embedding. One method for converting a two-dimensional (2D... 详细信息
来源: 评论
Meshless Hermite-HDMR finite difference method for high-dimensional Dirichlet problems
arXiv
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arXiv 2019年
作者: Luo, Xiaopeng Xu, Xin Rabitz, Herschel Department of Chemistry Princeton University PrincetonNJ08544 United States School of Managment and Engineering Nanjing University Nanjing210008 China Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States
In this paper, a meshless Hermite-HDMR finite difference method is proposed to solve high-dimensional Dirichlet problems. The approach is based on the local Hermite-HDMR expansion with an additional smoothing techniqu... 详细信息
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Featurized bidirectional GAN: Adversarial defense via adversarially learned semantic inference
arXiv
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arXiv 2018年
作者: Bao, Ruying Liang, Sihang Wang, Qingcan Program in Applied and Computational Mathematics Princeton University Department of Physics Princeton University
Deep neural networks have been demonstrated to be vulnerable to adversarial attacks, where small perturbations intentionally added to the original inputs can fool the classifier. In this paper, we propose a defense me... 详细信息
来源: 评论
Numerical meshless solution of high-dimensional sine-gordon equations via fourier HDMR-HC approximation
arXiv
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arXiv 2019年
作者: Xu, Xin Luo, Xiaopeng Rabitz, Herschel Department of Chemistry Princeton University PrincetonNJ08544 United States School of Managment and Engineering Nanjing University Nanjing210008 China Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States
In this paper, an implicit time stepping meshless scheme is proposed to find the numerical solution of high-dimensional sine-Gordon equations (SGEs) by combining the high dimensional model representation (HDMR) and th... 详细信息
来源: 评论
Heterogeneous inputs to central pattern generators can shape insect gaits.
arXiv
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arXiv 2018年
作者: Aminzare, Zahra Holmes, Philip Program in Applied and Computational Mathematics Princeton University NJ United States Program in Applied and Computational Mathematics Department of Mechanical and Aerospace Engineering Princeton Neuroscience Institute Princeton University NJ United States
In our previous work [1], we studied an interconnected bursting neuron model for insect locomotion, and its corresponding phase oscillator model, which at high speed can generate stable tripod gaits with three legs of... 详细信息
来源: 评论
Quality of internal representation shapes learning performance in feedback neural networks
arXiv
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arXiv 2020年
作者: Susman, Lee Mastrogiuseppe, Francesca Brenner, Naama Barak, Omri Interdisciplinary Program in Applied Mathematics Technion Israel Institute of Technology Haifa32000 Israel Network Biology Research Laboratories Technion Israel Institute of Technology Haifa32000 Israel Gatsby Computational Neuroscience Unit University College London London United Kingdom Dept. of Chemical Engineering Technion Israel Institute of Technology Haifa32000 Israel Rappaport Faculty of Medicine Technion Israel Institute of Technology Haifa32000 Israel
A fundamental feature of complex biological systems is the ability to form feedback interactions with their environment. A prominent model for studying such interactions is reservoir computing, where learning acts on ... 详细信息
来源: 评论