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检索条件"机构=The Department of Mathematics and Program in Applied and Computational Mathematics"
7153 条 记 录,以下是471-480 订阅
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EUCLIDEAN DISTANCE DEGREE IN MANIFOLD OPTIMIZATION
arXiv
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arXiv 2025年
作者: Lai, Zehua Lim, Lek-Heng Ye, Ke Department of Mathematics University of Texas AustinTX78712 United States Computational and Applied Mathematics Initiative Department of Statistics University of Chicago ChicagoIL60637-1514 United States KLMM Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing100190 China
We determine the Euclidean distance degrees of the three most common manifolds arising in manifold optimization: flag, Grassmann, and Stiefel manifolds. For the Grassmannian, we will also determine the Euclidean dista... 详细信息
来源: 评论
WELL-POSEDNESS AND INVERSE PROBLEMS FOR SEMILINEAR NONLOCAL WAVE EQUATIONS
arXiv
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arXiv 2024年
作者: Lin, Yi-Hsuan Tyni, Teemu Zimmermann, Philipp Department of Applied Mathematics National Yang Ming Chiao Tung University Hsinchu Taiwan Unit of Applied and Computational Mathematics University of Oulu Finland Department of Mathematics ETH Zurich Zürich Switzerland Departament de Matemàtiques i Informàtica Universitat de Barcelona Barcelona Spain
This article is devoted to forward and inverse problems associated with time-independent semilinear nonlocal wave equations. We first establish comprehensive well-posedness results for some semilinear nonlocal wave eq... 详细信息
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Packet Scheduling in the Underwater Network Using Active Priority and QLS-Based Energy-Efficient Backpressure Technique  6th
Packet Scheduling in the Underwater Network Using Active Pri...
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6th International Conference on Innovative Computing and Communication, ICICC 2023
作者: Caroline Mary, A. Senthil Kumar, A.V. Saleh, Omar S. Research Scholar Department of Computer Science Hindusthan College of Arts and Science Coimbatore India Assistant Professor Department of Applied Mathematics and Computational Sciences PSGCollege of Technology Coimbatore India Professor and Director Department of MCA Hindusthan College of Arts and Science Coimbatore India Ministry of Higher Education and Scientific Research Baghdad Iraq
Underwater communications are playing a major role in recent times as underwater happenings have gained interest. Especially in scenarios based on natural calamities like tsunamis, pollution detection, and surveillanc... 详细信息
来源: 评论
Relaxations and Duality for Multiobjective Integer programming
arXiv
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arXiv 2023年
作者: Dunbar, Alex Sinha, Saumya Schaefer, Andrew J. Department of Mathematics Emory University AtlantaGA United States Department of Computational Applied Mathematics and Operations Research Rice University HoustonTX United States
Multiobjective integer programs (MOIPs) simultaneously optimize multiple objective functions over a set of linear constraints and integer variables. In this paper, we present continuous, convex hull and Lagrangian rel... 详细信息
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Multi-Track Music Generation Network Based on a Hybrid Learning Module
Multi-Track Music Generation Network Based on a Hybrid Learn...
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2023 IEEE International Conference on Multimedia and Expo Workshops, ICMEW 2023
作者: Zhang, Donghui Hu, Ziqing Li, Xiaobing Tie, Yun Qi, Lin School of Electrical and Information Engineering Zhengzhou University Zhengzhou China University of Notre Dame Department of Applied and Computational Mathematics and Statistics South Bend on Lake MI United States Central Conservatory of Music Department of Music Artificial Intelligence Beijing China
Generative models has been widely used for symbolic music generation. However, the quality of the music produced is hindered by the inadequate modeling of the harmonic and rhythmic relationships among various instrume... 详细信息
来源: 评论
Review of the Mean Field Models for Predicting the Spread of Viral Infections
Review of the Mean Field Models for Predicting the Spread of...
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Cognitive Sciences, Genomics and Bioinformatics (CSGB)
作者: Viktoriya Petrakova Olga Krivorotko Andrei Neverov Department of Computational Mathematics Institute of Computational Modeling SB RAS Krasnoyarsk Russia Department of Applied Inverse Problems Sobolev Institute of Mathematics SB RAS Novosibirsk Russia International Mathematical Center Sobolev Institute of Mathematics SB RAS Novosibirsk Russia
Models for the dynamics and control of disease spread are now developing rapidly and play a central role in making decisions about the introduction of various antiviral measures. One of the approaches to solving such ...
来源: 评论
ATTENTION IS A SMOOTHED CUBIC SPLINE
arXiv
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arXiv 2024年
作者: Lai, Zehua Lim, Lek-Heng Liu, Yucong Department of Mathematics University of Texas AustinTX78712 United States Computational and Applied Mathematics Initiative Department of Statistics University of Chicago ChicagoIL60637 United States School of Mathematics Georgia Institute of Technology AtlantaGA30332 United States
We highlight a perhaps important but hitherto unobserved insight: The attention module in a transformer is a smoothed cubic spline. Viewed in this manner, this mysterious but critical component of a transformer become... 详细信息
来源: 评论
ERROR ANALYSIS OF A BACKWARD EULER POSITIVE PRESERVING STABILIZED SCHEME FOR A CHEMOTAXIS SYSTEM
arXiv
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arXiv 2022年
作者: Chatzipantelidis, P. Pervolianakis, C. Department of Mathematics and Applied Mathematics University of Crete Heraklion71003 Greece Institute of Applied and Computational Mathematics FORTH Heraklion70013 Greece
For a Keller-Segel model for chemotaxis in two spatial dimensions we consider a modification of a positivity preserving fully discrete scheme using a local extremum diminishing flux limiter. We discretize space using ... 详细信息
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Surrogate-based multilevel Monte Carlo methods for uncertainty quantification in the Grad-Shafranov free boundary problem
arXiv
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arXiv 2025年
作者: Elman, Howard C. Liang, Jiaxing Sánchez-Vizuet, Tonatiuh Department of Computer Science Institute for Advanced Computer Studies University of Maryland College Park United States Department of Computational Applied Mathematics & Operations Research Rice University United States Department of Mathematics The University of Arizona United States
We explore a hybrid technique to quantify the variability in the numerical solutions to a free boundary problem associated with magnetic equilibrium in axisymmetric fusion reactors amidst parameter uncertainties. The ... 详细信息
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BOTTOM-UP TRANSIENT TIME MODELS IN COARSE-GRAINING MOLECULAR SYSTEMS
arXiv
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arXiv 2023年
作者: Baxevani, Georgia Harmandaris, Vagelis Kalligiannaki, Evangelia Tsantili, Ivi Department of Mathematics and Applied Mathematics University of Crete Heraklion Greece Computation-Based Science and Technology Research Center The Cyprus Institute Nicosia2121 Cyprus Department of Statistics and Actuarial-Financial Mathematics University of the Aegean Greece Institute of Applied and Computational Mathematics FORTH Heraklion Greece
MSC Codes 62M20, 82C31, 82M37, 82B30This work presents a systematic methodology for describing the transient dynamics of coarse-grained molecular systems inferred from all-atom simulated data. We suggest Langevin-type... 详细信息
来源: 评论