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检索条件"机构=Department of Mathematics&Program in Applied and Computational Mathematics"
812 条 记 录,以下是131-140 订阅
排序:
End-to-end symmetry preserving inter-atomic potential energy model for finite and extended systems  32
End-to-end symmetry preserving inter-atomic potential energy...
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32nd Conference on Neural Information Processing Systems, NeurIPS 2018
作者: Zhang, Linfeng Han, Jiequn Wang, Han Saidi, Wissam A. Car, Roberto Weinan, E. Program in Applied and Computational Mathematics Princeton University United States Institute of Applied Physics and Computational Mathematics China CAEP Software Center for High Performance Numerical Simulation China Department of Mechanical Engineering and Materials Science University of Pittsburgh United States Department of Chemistry Department of Physics Princeton University United States Princeton Institute for the Science and Technology of Materials Princeton University United States Department of Mathematics Princeton University United States Beijing Institute of Big Data Research China
Machine learning models are changing the paradigm of molecular modeling, which is a fundamental tool for material science, chemistry, and computational biology. Of particular interest is the inter-atomic potential ene... 详细信息
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A molecular dynamical study of granular fluids I: The unforced granular gas in two dimensions
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Journal of Scientific Computing 1993年 第1期8卷 1-40页
作者: Goldhirsch, I. Tan, M.-L. Zanetti, G. Department of Fluid Mechanics and Heat Transfer Faculty of Engineering Tel-Aviv University Ramat Aviv 69978 Tel-Aviv Israel Program in Applied and Computational Mathematics Princeton University Princeton 08544 New Jersey United States
Results of a numerical study of the dynamics of a collection of disks colliding inelastically in a periodic two-dimensional enclosure are presented. The properties of this system, which is perhaps the simplest model f... 详细信息
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Three-dimensional dynamics and transition to turbulence in the wake of bluff objects
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Journal of Fluid Mechanics 1992年 第1期238卷 1-30页
作者: Karniadakis, George Em Triantafyllou, George S. Department of Mechanical and Aerospace Engineering and Program of Applied and Computational Mathematics Princeton University Princeton NJ 08544 United States The Levich Institute and Department of Mechanical Engineering The City College of New York New York NY 10031 United States
The wakes of bluff objects and in particular of circular cylinders are known to undergo a ‘fast ’ transition, from a laminar two-dimensional state a t Reynolds number 200 to a turbulent state a t Reynolds number 400...
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The Weyl-Heisenberg ensemble: Statistical mechanics meets time-frequency analysis
The Weyl-Heisenberg ensemble: Statistical mechanics meets ti...
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International Conference on Sampling Theory and Applications
作者: Luis Daniel Abreu Joao Pereira Jose Luis Romero Salvatore Torquato Austrian Academy of Sciences Acoustics Research Institute Program in Applied and Computational Mathematics Princeton University Department of Chemistry Princeton Materials Institute and Program in Applied and Computational Mathematics Princeton University
We present our recent work on the Weyl-Heisenberg ensemble and its statistical properties [4]. The WH ensemble is a class of determinantal point processes associated with the Schrodinger representation of the Heisenbe... 详细信息
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GEOMETRIC CHARACTERIZATION OF STATES IN 2-DIMENSIONAL QUANTUM-GRAVITY
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MODERN PHYSICS LETTERS A 1990年 第12期5卷 965-977页
作者: AGISHTEIN, ME JACOBS, L MIGDAL, AA RICHARDSON, JL Program in Applied and Computational Mathematics Princeton University Fine Hall Princeton NJ 08544 USA Center for Theoretical Physics 6-403 Massachusetts Institute of Technology Cambridge MA 02139 USA Work supported in part by the U. S. Department of Energy (D.O.E.) under contract #DE-AC02-76ER03069. Department of Physics and Program in Applied and Computational Mathematics Princeton University Fine Hall Princeton NJ 08544 USA Thinking Machines Corporation 245 First Street Cambridge MA 02142 USA
We report first results of a large-scale simulation of two-dimensional quantum gravity using the dynamical triangulation model for systems of up to sixteen thousand triangles. Our results for the internal geometry sho...
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LATTICE-VALUED BOTTLENECK DUALITY
arXiv
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arXiv 2024年
作者: Ghrist, Robert Gould, Julian Lopez, Miguel Department of Mathematics Department of Electrical & Systems Engineering and Program in Applied Mathematics & Computational Science University of Pennsylvania United States
This note reformulates certain classical combinatorial duality theorems in the context of order lattices. For source-target networks, we generalize bottleneck path-cut and flow-cut duality results to edges with capaci... 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
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Topological Classification of Insulators: II. Quasi-Two-Dimensional Locality
arXiv
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arXiv 2024年
作者: Chung, Jui-Hui Shapiro, Jacob Program in Applied and Computational Mathematics Princeton University United States Department of Mathematics Princeton University United States
We provide an alternative characterization of two-dimensional locality (necessary e.g. to define the Hall conductivity of a Fermi projection) using the spectral projections of the Laughlin flux operator. Using this ab...
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The quenching-activation behavior of the gradient descent dynamics for two-layer neural network models
arXiv
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arXiv 2020年
作者: Ma, Chao Wu, Lei Weinan, E. Department of Mathematics Princeton University Program in Applied and Computational Mathematics Princeton University Institute of Big Data Research
A numerical and phenomenological study of the gradient descent (GD) algorithm for training two-layer neural network models is carried out for different parameter regimes when the target function can be accurately appr... 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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