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Improve Robustness and Accuracy of Deep Neural Network with L-2,L-infinity Normalization 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2022, 页码: 26
作者:  Yu Lijia;  Gao Xiao-Shan
收藏  |  浏览/下载：63/0  |  提交时间：2023/02/07
Deep neural network  global robustness measure  L-2,L-infinity  normalization  over-fitting  Rademacher complexity  smooth DNN  
Liouville-Type Theorems for Fractional and Higher-Order Henon-Hardy Type Equations via the Method of Scaling Spheres 期刊论文
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 页码: 70
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载：93/0  |  提交时间：2022/06/21
Qualitative properties of singular solutions to fractional elliptic equations 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021, 页码: 36
作者:  Huang, Shuibo;  Zhang, Zhitao;  Liu, Zhisu
收藏  |  浏览/下载：123/0  |  提交时间：2022/06/21
Fractional elliptic equations  Moving spheres method  Blow-up analysis  Local behaviour  Singular solutions  
LIOUVILLE TYPE THEOREMS FOR FRACTIONAL AND HIGHER-ORDER FRACTIONAL SYSTEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 卷号: 41, 期号: 5, 页码: 2269-2283
作者:  Cao, Daomin;  Qin, Guolin
收藏  |  浏览/下载：159/0  |  提交时间：2021/04/26
Fractional Laplacians  Henon-Lane-Emden systems  decay estimates  higher-order fractional Laplacians  Lionville type theorems  
CLASSIFICATION OF NONNEGATIVE SOLUTIONS TO STATIC SCHRODINGER-HARTREE-MAXWELL TYPE EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 2, 页码: 1379-1410
作者:  Dai, Wei;  Liu, Zhao;  Qin, Guolin
收藏  |  浏览/下载：130/0  |  提交时间：2021/10/26
higher-order fractional Laplacians  Schrodinger-Hartree-Maxwell equations  classification of nonnegative solutions  super poly-harmonic properties  nonlocal nonlinearities  the method of moving spheres  
SOURCE RECONSTRUCTION WITH MULTIFREQUENCY SPARSE SCATTERED FIELDS 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 81, 期号: 6, 页码: 2387-2404
作者:  Ji, Xia;  Liu, Xiaodong
收藏  |  浏览/下载：113/0  |  提交时间：2022/04/02
multipolar point sources  multifrequency scattered fields  sparse data  sampling method  
Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 9, 页码: 7231-7252
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载：146/0  |  提交时间：2020/09/23
The method of scaling spheres  Hardy-H?non type equations  Liouville theorems  Nonnegative solutions  Exterior domains  
UNIQUENESS IN INVERSE ACOUSTIC AND ELECTROMAGNETIC SCATTERING WITH PHASELESS NEAR-FIELD DATA AT A FIXED FREQUENCY 期刊论文
INVERSE PROBLEMS AND IMAGING, 2020, 卷号: 14, 期号: 3, 页码: 489-510
作者:  Xu, Xiaoxu;  Zhang, Bo;  Zhang, Haiwen
收藏  |  浏览/下载：176/0  |  提交时间：2020/05/24
Uniqueness  inverse acoustic scattering  inverse electromagnetic scattering  phaseless near-field  obstacle  inhomogeneous medium  
Liouville type theorem for higher order Henon equations on a half space 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 卷号: 183, 页码: 284-302
作者:  Dai, Wei;  Qin, Guolin;  Zhang, Yang
收藏  |  浏览/下载：174/0  |  提交时间：2020/01/10
The method of scaling spheres in integral forms  Henon equations  Liouville theorems  Nonnegative solutions  Navier problems  
Simulation of spiral instabilities in wide-gap spherical Couette flow 期刊论文
FLUID DYNAMICS RESEARCH, 2018, 卷号: 50, 期号: 2, 页码: 17
作者:  Abbas, Suhail;  Yuan, Li;  Shah, Abdullah
收藏  |  浏览/下载：148/0  |  提交时间：2018/07/30
spherical Couette flow  wide gap  Taylor vortex  spiral wave