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检索条件"机构=Program In Applied and Computational Mathematics"
1033 条 记 录,以下是41-50 订阅
排序:
Multidimensional Quantum Tunneling:Direct Instanton Calculation with Application to Polyatomic Molecules
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Communications in computational Physics 2006年 第6期1卷 1096-1116页
作者: Jing Shi Program in Applied and Computational Mathematics Princeton UniversityNJ 08544USA
Multidimensional tunneling appears in many problems at nano *** high dimensionality of the potential energy surface(*** degrees of freedom)poses a great challenge in both theoretical and numerical description of *** s... 详细信息
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HiPoNet: A Topology-Preserving Multi-View Neural Network For High Dimensional Point Cloud and Single-Cell Data
arXiv
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arXiv 2025年
作者: Viswanath, Siddharth Madhu, Hiren Bhaskar, Dhananjay Kovalic, Jake Johnson, Dave Ying, Rex Tape, Christopher Adelstein, Ian Perlmutter, Michael Krishnaswamy, Smita Department of Computer Science Yale University New Haven United States Department of Genetics Yale University New Haven United States Department of Applied Physics Yale University New Haven United States Program in Computing Boise State University Idaho United States Cell Communication Lab Department of Oncology University College London Cancer Institute London United Kingdom Department of Mathematics Yale University New Haven United States Department of Mathematics Boise State University Idaho United States Computational Biology and Bioinformatics Program Yale University New Haven United States Wu-Tsai Institute Yale University New Haven United States Program for Applied Math Yale University New Haven United States
In this paper, we propose HiPoNet, an end-to-end differentiable neural network for regression, classification, and representation learning on high-dimensional point clouds. Single-cell data can have high dimensionalit... 详细信息
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Optimization-Based String Method for Finding Minimum Energy Path
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Communications in computational Physics 2013年 第7期14卷 265-275页
作者: Amit Samanta Weinan E Program in Applied and Computational Mathematics Princeton UniversityPrincetonNew JerseyUSA Department of Mathematics and Program in Applied and Computational Mathematics Princeton UniversityPrincetonNew JerseyUSA Beijing International Center for Mathematical Research Peking UniversityBeijingChina
We present an efficient algorithm for calculating the minimum energy path(MEP)and energy barriers between local minima on a multidimensional potential energy surface(PES).Such paths play a central role in the understa... 详细信息
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FUZZY MOLECULAR-SURFACES
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JOURNAL OF BIOMOLECULAR STRUCTURE & DYNAMICS 1992年 第4期9卷 759-768页
作者: AGISHTEIN, ME Program in Applied and Computational Mathematics Fine Hall Princeton University NJ 08544-1000.
Surface area of a macromolecule, accessible to a solvent, is defined and calculated, taking into account the probabilistic character of atomic positions due to the high frequency atomic vibrations. For a given a space...
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The limited effectiveness of normal forms: A critical review and extension of local bifurcation studies of the Brusselator PDE
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PHYSICA D 1997年 第1-2期100卷 1-40页
作者: Wittenberg, RW Holmes, P Program in Applied and Computational Mathematics Fine Hall Washington Road Princeton NJ 08544 USA
The detection and unfolding of degenerate local bifurcations provides one of very few generally applicable analytical tools for studying complex dynamics in systems of arbitrarily high dimension. Using the Brusselator...
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VORTEX TANGLE SIMULATIONS
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JOURNAL OF computational PHYSICS 1990年 第1期87卷 241-244页
作者: BUTTKE, TF Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA
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SCALE INVARIANT SOLUTIONS OF THE THEORY OF THIN TURBULENT FLAME PROPAGATION
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COMBUSTION SCIENCE AND TECHNOLOGY 1988年 第4-6期62卷 127-129页
作者: YAKHOT, V Program in Applied & Computational Mathematics. Princeton University Princeton NJ 08544 USA
Scaling properties of the field equation governing propagation of a thin flame front in a turbulent medium are discussed. It is shown that if the turbulent flame velocityuTcan be expressed through the turbulence inten...
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PROPAGATION VELOCITY OF PREMIXED TURBULENT FLAMES
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COMBUSTION SCIENCE AND TECHNOLOGY 1988年 第1-3期60卷 191-214页
作者: YAKHOT, V Program in Applied & Computational Mathematics. Princeton University Princeton NJ 0854 U.S.A.
The problem of propagation of turbulent premixed flame is analyzed using the field equation introduced recently by Kerstein, Ashurst and Williams (1987). The dynamic renormalization group method is applied to this equ...
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The complex interplay between risk tolerance and the spread of infectious diseases
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Journal of the Royal Society Interface 2025年 第225期22卷 20240486页
作者: Nguyen, Maximilian M. Freedman, Ari S. Cheung, Matthew A. Saad-Roy, Chadi M. Espinoza, Baltazar Grenfell, Bryan T. Levin, Simon A. Lewis-Sigler Institute Princeton University PrincetonNJ United States Department of Ecology and Evolutionary Biology Princeton University PrincetonNJ United States Program in Applied and Computational Mathematics Princeton University PrincetonNJ United States Miller Institute for Basic Research in Science University of California Berkeley BerkeleyCA United States Department of Integrative Biology University of California BerkeleyCA United States Biocomplexity Institute University of Virginia CharlottesvilleVA United States
Risk-driven behaviour provides a feedback mechanism through which individuals both shape and are collectively affected by an epidemic. We introduce a general and flexible compartmental model to study the effect of het... 详细信息
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Can Shallow Neural Networks Beat the Curse of Dimensionality? A Mean Field Training Perspective
IEEE Transactions on Artificial Intelligence
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IEEE Transactions on Artificial Intelligence 2020年 第2期1卷 121-129页
作者: Wojtowytsch, Stephan Weinan, E. The Program of Applied and Computational Mathematics Princeton University Princeton 08544 NJ United States The Department of Mathematics The Program of Applied and Computational Mathematics Princeton University Princeton 08544 NJ United States
We prove that the gradient descent training of a two-layer neural network on empirical or population risk may not decrease population risk at an order faster than t−4/(d−2) under mean field scaling. The loss functiona... 详细信息
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