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检索条件"机构=Program In Applied and Computational Mathematics"
1033 条 记 录,以下是31-40 订阅
排序:
On the emergence of simplex symmetry in the final and penultimate layers of neural network classifiers  2
On the emergence of simplex symmetry in the final and penult...
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2nd Mathematical and Scientific Machine Learning Conference, MSML 2021
作者: Weinan, E. Wojtowytsch, Stephan Program for Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States
A recent numerical study observed that neural network classifiers enjoy a large degree of symmetry in the penultimate layer. Namely, if h(x) = Af(x) + b where A is a linear map and f is the output of the penultimate l... 详细信息
来源: 评论
Deuteration removes quantum dipolar defects from KDP crystals
arXiv
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arXiv 2024年
作者: Yang, Bingjia Xie, Pinchen Car, Roberto Department of Chemistry Princeton University PrincetonNJ08544 United States Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States Department of Chemistry Department of Physics Program in Applied and Computational Mathematics Princeton Materials Institute Princeton University PrincetonNJ08544 United States
The structural, dielectric, and thermodynamic properties of the hydrogen-bonded ferroelectric crystal potassium dihydrogen phosphate (KH2PO4), KDP for short, differ significantly from those of DKDP (KD2PO4) [1, 2]. It... 详细信息
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Generalization and Memorization: The Bias Potential Model  2
Generalization and Memorization: The Bias Potential Model
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2nd Mathematical and Scientific Machine Learning Conference, MSML 2021
作者: Yang, Hongkang Weinan, E. Program in Applied and Computational Mathematics Princeton University United States Department of Mathematics and PACM Princeton University United States
Models for learning probability distributions such as generative models and density estimators behave quite differently from models for learning functions. One example is found in the memorization phenomenon, namely t... 详细信息
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A Mathematical Framework for Learning Probability Distributions
arXiv
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arXiv 2022年
作者: Yang, Hongkang Program in Applied and Computational Mathematics Princeton University United States
The modeling of probability distributions, specifically generative modeling and density estimation, has become an immensely popular subject in recent years by virtue of its outstanding performance on sophisticated dat... 详细信息
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Thermal disorder and phonon softening in the ferroelectric phase transition of lead titanate
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Physical Review B 2025年 第9期111卷 094113-094113页
作者: Pinchen Xie Yixiao Chen Weinan E Roberto Car Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA AI for Science Institute Beijing China and Center for Machine Learning Research and School of Mathematical Sciences Peking University Beijing China
We report a molecular dynamics study of ab initio quality of the ferroelectric phase transition in crystalline PbTiO3. We model anharmonicity accurately in terms of potential energy and polarization surfaces trained o... 详细信息
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Low-Rank Decomposition of Plasma Kinetic Distributions in the Collisional Transition Regime
Low-Rank Decomposition of Plasma Kinetic Distributions in th...
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2022 IEEE International Conference on Plasma Science, ICOPS 2022
作者: Coughlin, J. Shumlak, U. Hu, J. University of Washington Applied Mathematics SeattleWA United States University of Washington Computational Plasma Dynamics Laboratory Aerospace and Energetics Research Program SeattleWA United States
The strength of collisional effects in a plasma can be summarized by the non-dimensional Knudsen number Kn. For very small values of Kn, plasma behavior is well-described by the 5N moment fluid model, including the Br... 详细信息
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Fast alignment of heterogeneous images in sliced Wasserstein distance
arXiv
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arXiv 2025年
作者: Shi, Yunpeng Singer, Amit Verbeke, Eric J. Department of Mathematics University of California at Davis DavisCA United States Department of Mathematics Princeton University PrincetonNJ United States Program in Applied and Computational Mathematics Princeton University PrincetonNJ United States
Many applications of computer vision rely on the alignment of similar but non-identical images. We present a fast algorithm for aligning heterogeneous images based on optimal transport. Our approach combines the speed...
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GPU-Accelerated Modified Bessel Function of the Second Kind for Gaussian Processes
GPU-Accelerated Modified Bessel Function of the Second Kind ...
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ISC High Performance 2025 Research Paper Proceedings (40th International Conference)
作者: Zipei Geng Sameh Abdulah Ying Sun Hatem Ltaief David E. Keyes Marc G. Genton Statistics Program King Abdullah University of Science and Technology Thuwal Saudi Arabia Applied Mathematics and Computational Sciences (AMCS) Program King Abdullah University of Science and Technology Thuwal Saudi Arabia
Modified Bessel functions of the second kind are widely used in physics, engineering, spatial statistics, and machine learning. Since contemporary scientific applications, including machine learning, rely on GPUs for ... 详细信息
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Revealing Actual Viscoelastic Relaxation Times in Capillary Breakup
arXiv
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arXiv 2025年
作者: Hu, Nan Hwang, Jonghyun Ruangkriengsin, Tachin Stone, Howard A. Department of Mechanical and Aerospace Engineering Princeton University NJ08544 United States Program in Applied and Computational Mathematics Princeton University NJ08544 United States
We use experiments and theory to elucidate the size effect in capillary breakup rheometry, where pre-stretching in the visco-capillary stage causes the apparent relaxation time to be consistently smaller than the actu... 详细信息
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Unified Variational Approach Description of Ground-State Phases of the Two-Dimensional Electron Gas
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Physical Review Letters 2024年 第26期133卷 266504-266504页
作者: Conor Smith Yixiao Chen (陈一潇) Ryan Levy Yubo Yang (杨煜波) Miguel A. Morales Shiwei Zhang Center for Computational Quantum Physics Flatiron Institute New York New York 10010 USA Department of Electrical and Computer Engineering University of New Mexico Albuquerque New Mexico 87131 USA Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA
The two-dimensional electron gas (2DEG) is a fundamental model, which is drawing increasing interest because of recent advances in experimental and theoretical studies of 2D materials. Current understanding of the gro... 详细信息
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