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检索条件"机构=Program in Applied an Computational Mathematics"
1033 条 记 录,以下是371-380 订阅
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Executive Summary of Dagstuhl Seminar on Structured Decompositions and Efficient Algorithms (08492)
Executive Summary of Dagstuhl Seminar on Structured Decompos...
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Structured Decompositions and Efficient Algorithms 2008
作者: Dahlke, Stephan Daubechies, Ingrid Elad, M. Kutyniok, Gitta Teschke, Gerd Philipps-Universität Marburg FB12 Mathematik und Informatik Hans-Meerwein Straße Lahnberge Marburg35032 Germany Princeton University Program in Applied and Computational Mathematics Fine Hall Washington Road PrincetonNJ08544-1000 United States Technion Computer Science Department Haifa Technion City32000 Israel Universität Osnabrück Institute of Mathematics Osnabrück49069 Germany Hochschule Neubrandenburg University of Applied Sciences Institute for Computational Mathematics in Science and Technology Brodaer Str. 2 Neubrandenburg17033 Germany
New emerging technologies such as high-precision sensors or new MRI machines drive us towards a challenging quest for new, more effective, and more daring mathematical models and algorithms. Therefore, in the last few... 详细信息
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Coarse graining the dynamics of heterogeneous oscillators in networks with spectral gaps
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Physical Review E 2011年 第3期84卷 036708-036708页
作者: Karthikeyan Rajendran Ioannis G. Kevrekidis Department of Chemical and Biological Engineering Princeton University Princeton New Jersey 08544 USA Program in Applied and Computational Mathematics (PACM) Princeton University Princeton New Jersey 08544 USA
We present a computer-assisted approach to coarse graining the evolutionary dynamics of a system of nonidentical oscillators coupled through a (fixed) network structure. The existence of a spectral gap for the couplin... 详细信息
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Algorithms for Solving High Dimensional PDEs: From Nonlinear Monte Carlo to Machine Learning
arXiv
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arXiv 2020年
作者: Weinan, E. Han, Jiequn Jentzen, Arnulf Department of Mathematics Princeton University United States Program in Applied and Computational Mathematics Princeton University United States Faculty of Mathematics and Computer Science University of Münster Germany
In recent years, tremendous progress has been made on numerical algorithms for solving partial differential equations (PDEs) in a very high dimension, using ideas from either nonlinear (multilevel) Monte Carlo or deep... 详细信息
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Applications of mean field games in financial engineering and economic theory
arXiv
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arXiv 2020年
作者: Carmona, René DEPARTMENT OF OPERATIONS RESEARCH & FINANCIAL ENGINEERING BENDHEIM CENTER FOR FINANCE PROGRAM IN APPLIED & COMPUTATIONAL MATHEMATICS PRINCETON UNIVERSITY United States
This is an expanded version of the lecture given at the AMS Short Course on Mean Field Games, on January 13, 2020 in Denver CO. The assignment was to discuss applications of Mean Field Games in finance and economics. ... 详细信息
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Price of anarchy for mean field games
arXiv
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arXiv 2018年
作者: Carmona, René Graves, Christy V. Tan, Zongjun Operations Research and Financial Engineering Princeton University Partially United States Program in Applied and Computational Mathematics Princeton University Partially
The price of anarchy, originally introduced to quantify the inefficiency of selfish behavior in routing games, is extended to mean field games. The price of anarchy is defined as the ratio of a worst case social cost ...
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Reinforced dynamics for enhanced sampling in large atomic and molecular systems
arXiv
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arXiv 2017年
作者: Zhang, Linfeng Wang, Han Weinan, E. Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States Institute of Applied Physics and Computational Mathematics Fenghao East Road 2 Beijing100094 China CAEP Software Center for High Performance Numerical Simulation Huayuan Road 6 Beijing100088 China Department of Mathematics and Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States Beijing Institute of Big Data Research Beijing100871 China
A new approach for efficiently exploring the configuration space and computing the free energy of large atomic and molecular systems is proposed, motivated by an analogy with reinforcement learning. There are two majo... 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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QUANTITATIVE SPECTRAL ANALYSIS OF ELECTROMAGNETIC SCATTERING. II: EVOLUTION SEMIGROUPS AND NON-PERTURBATIVE SOLUTIONS
arXiv
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arXiv 2021年
作者: Zhou, Yajun Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States Peking University Beijing100871 China
We carry out quantitative studies on the Green operator Ĝ associated with the Born equation, an integral equation that models electromagnetic scattering, building the strong stability of the evolution semigroup {exp(−... 详细信息
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Complexity measures for neural networks with general activation functions using path-based norms
arXiv
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arXiv 2020年
作者: Li, Zhong Ma, Chao Wu, Lei School of Mathematical Sciences Peking University China Department of Mathematics Stanford University United States Program in Applied and Computational Mathematics Princeton University United States
A simple approach is proposed to obtain complexity controls for neural networks with general activation functions. The approach is motivated by approximating the general activation functions with one-dimensional ReLU ... 详细信息
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NUMERICAL ANALYSIS OF ELLIPTIC HEMIVARIATIONAL INEQUALITIES FOR SEMIPERMEABLE MEDIA
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Journal of computational mathematics 2019年 第4期37卷 506-523页
作者: Weimin Han Ziping Huang Cheng Wang Wei Xu Program in Applied Mathematical and Computational Sciences (A MCS)& Department of Mathematics University of Iowa Iowa City IA 522/2 USA School of Mathematical Sciences Tongji University Shanghai 200092 China Tongji Zhejiang College J taxing 314051 China School of Mathematical Sciences Tojigji University Shanghai 200092 China School of Mathematical Sciences Tongji University Shanghai 200092 China Tongji Zhejiang College Jiaxing 314051 China
In this paper, we consider elliptic hemivariational inequalities arising in applications in semipermeable media. In its general form, the model includes both interior and boundary semipermeability terms. Detailed stud... 详细信息
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