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检索条件"机构=Department of Mathematics and Program in Applied Mathematical and Computational Sciences"
704 条 记 录,以下是151-160 订阅
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Critical (P5, W4)-Free Graphs
arXiv
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arXiv 2025年
作者: Xia, Wen Jooken, Jorik Goedgebeur, Jan Beaton, Iain Cameron, Ben Huang, Shenwei College of Computer Science Nankai University Tianjin300071 China Tianjin Key Laboratory of Network and Data Security Technology Nankai University Tianjin300071 China Department of Computer Science KU Leuven Campus Kulak-Kortrijk Kortrijk8500 Belgium Department of Applied Mathematics Computer Science and Statistics Ghent University Ghent9000 Belgium Department of Mathematics and Statistics Acadia University WolfvilleNS Canada School of Mathematical and Computational Sciences University of Prince Edward Island CharlottetownPE Canada
A graph G is k-vertex-critical if χ(G) = k but χ(G − v) 1, H2)-free if it contains no induced subgraph isomorphic to H1 nor H2. A W4 is the graph consisting of a C4 plus an additional vertex adjacent to all the vert... 详细信息
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Disordered Heterogeneous Universe: Galaxy Distribution and Clustering across Length Scales
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Physical Review X 2023年 第1期13卷 011038-011038页
作者: Oliver H. E. Philcox Salvatore Torquato Department of Astrophysical Sciences Princeton University Princeton New Jersey 08540 USA School of Natural Sciences Institute for Advanced Study 1 Einstein Drive Princeton New Jersey 08540 USA Center for Theoretical Physics Department of Physics Columbia University New York New York 10027 USA Simons Foundation New York New York 10010 USA Department of Chemistry Department of Physics Princeton Materials Institute and Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08540 USA
The studies of disordered heterogeneous media and galaxy cosmology share a common goal: analyzing the disordered distribution of particles and/or building blocks at microscales to predict physical properties of the me... 详细信息
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Learning A Coarse-to-Fine Diffusion Transformer for Image Restoration
arXiv
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arXiv 2023年
作者: Wang, Liyan Yang, Qinyu Wang, Cong Wang, Wei Pan, Jinshan Su, Zhixun School of Mathematical Sciences Dalian University of Technology Dalian China The Key Laboratory for Computational Mathematics and Data Intelligence of Liaoning Province The Liaoning Center for Applied Mathematics China The Department of Computing The Hong Kong Polytechnic University Hong Kong Dalian University of Technology Dalian China The School of Computer Science and Engineering Nanjing University of Science and Technology Nanjing China
Recent years have witnessed the remarkable performance of diffusion models in various vision tasks. However, for image restoration that aims to recover clear images with sharper details from given degraded observation... 详细信息
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Precise determination of pair interactions from pair statistics of many-body systems in and out of equilibrium
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Physical Review E 2022年 第4期106卷 044122-044122页
作者: Salvatore Torquato Haina Wang Department of Chemistry Department of Physics Princeton Institute of Materials and Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA School of Natural Sciences Institute for Advanced Study 1 Einstein Drive Princeton New Jersey 08540 USA Department of Chemistry Princeton University Princeton New Jersey 08544 USA
The determination of the pair potential v(r) that accurately yields an equilibrium state at positive temperature T with a prescribed pair correlation function g2(r) or corresponding structure factor S(k) in d-dimensio... 详细信息
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Designer Pair Statistics of Disordered Many-Particle Systems with Novel Properties
arXiv
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arXiv 2023年
作者: Wang, Haina Torquato, Salvatore Department of Chemistry Princeton University PrincetonNJ08544 United States Department of Chemistry Department of Physics Princeton Materials Institute Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States School of Natural Sciences Institute for Advanced Study 1 Einstein Drive PrincetonNJ08540 United States
Knowledge of exact analytical functional forms for the pair correlation function g2(r) and its corresponding structure factor S(k) of disordered many-particle systems is limited. For fundamental and practical reasons,... 详细信息
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Compatible L2 norm convergence of variable-step L1 scheme for the time-fractional MBE mobel with slope selection
arXiv
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arXiv 2022年
作者: Yang, Yin Wang, Jindi Chen, Yanping Liao, Hong-Lin School of Mathematics and Computational Science Xiangtan University Hunan National Applied Mathematics Center Hunan Xiangtan411105 China School of Mathematics and Computational Science Xiangtan University Hunan Xiangtan411105 China School of Mathematical Sciences South China Normal University Guangdong Guangzhou510631 China Department of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing211106 China MIIT Nanjing211106 China
MSC Codes 35Q99, 65M06, 65M12, 74A50The convergence of variable-step L1 scheme is studied for the time-fractional molecular beam epitaxy (MBE) model with slope selection. A novel asymptotically compatible L2 norm erro... 详细信息
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From Kernels to Features: A Multi-Scale Adaptive Theory of Feature Learning
arXiv
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arXiv 2025年
作者: Rubin, Noa Fischer, Kirsten Lindner, Javed Dahmen, David Seroussi, Inbar Ringel, Zohar Krämer, Michael Helias, Moritz The Racah Institute of Physics The Hebrew University of Jerusalem Jerusalem Israel Computational and Systems Neuroscience Jülich Research Centre Jülich Germany RWTH Aachen University Aachen Germany Department of Physics RWTH Aachen University Aachen Germany Institute for Theoretical Particle Physics and Cosmology RWTH Aachen University Aachen Germany Department of Applied Mathematics School of Mathematical Sciences Tel-Aviv University Tel-Aviv Israel
Theoretically describing feature learning in neural networks is crucial for understanding their expressive power and inductive biases, motivating various approaches. Some approaches describe network behavior after tra... 详细信息
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Natural parameter conditions for singular perturbations of chemical and biochemical reaction networks
arXiv
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arXiv 2022年
作者: Eilertsen, Justin Schnell, Santiago Walcher, Sebastian Mathematical Reviews American Mathematical Society 416 4th Street Ann ArborMI48103 United States Department of Biological Sciences Department of Applied and Computational Mathematics and Statistics University of Notre Dame Notre DameIN46556 United States Mathematik A RWTH AachenD-52056 Germany
We consider reaction networks that admit a singular perturbation reduction in a certain parameter range. The focus of this paper is on deriving "small parameters" (briefly for small perturbation parameters),... 详细信息
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Predicting rare events using neural networks and short-trajectory data
arXiv
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arXiv 2022年
作者: Strahan, John Finkel, Justin Dinner, Aaron R. Weare, Jonathan Department of Chemistry and James Franck Institute University of Chicago ChicagoIL60637 United States Committee on Computational and Applied Mathematics The University of Chicago ChicagoIL60637 United States Department of Chemistry James Franck Institute and Committee on Computational and Applied Mathematics University of Chicago ChicagoIL60637 United States Courant Institute of Mathematical Sciences New York University New York10012 United States
Estimating the likelihood, timing, and nature of events is a major goal of modeling stochastic dynamical systems. When the event is rare in comparison with the timescales of simulation and/or measurement needed to res... 详细信息
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Peanut harmonic expansion for a fundamental solution of Laplace's equation in flat-ring coordinates
arXiv
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arXiv 2022年
作者: Bi, Lijuan Cohl, Howard S. Volkmer, Hans Department of Mathematics The Ohio State University at Newark NewarkOH43055 United States Applied and Computational Mathematics Division National Institute of Standards and Technology Mission ViejoCA92694 United States Department of Mathematical Sciences University of Wisconsin-Milwaukee MilwaukeeWI53201-0413 United States
We derive an expansion for the fundamental solution of Laplace's equation in at-ring cyclide coordinates in three-dimensional Euclidean space. This expansion is a double series of products of functions that are ha... 详细信息
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