Singular Trudinger–Moser inequality with Lp norm and the existence of extremals

Author(s):  
Xumin Wang ◽  
Xin Miao
Keyword(s):  
2021 ◽  
Vol 140 ◽  
pp. 100-112
Author(s):  
You Zhao ◽  
Xiaofeng Liao ◽  
Xing He ◽  
Rongqiang Tang ◽  
Weiwei Deng

Author(s):  
Baichen Jiang ◽  
Wei Zhou ◽  
Jian Guan ◽  
Jialong Jin

Classifying the motion pattern of marine targets is of important significance to promote target surveillance and management efficiency of marine area and to guarantee sea route safety. This paper proposes a moving target classification algorithm model based on channel extraction-segmentation-LCSCA-lp norm minimization. The algorithm firstly analyzes the entire distribution of channels in specific region, and defines the categories of potential ship motion patterns; on this basis, through secondary segmentation processing method, it obtains several line segment trajectories as training sample sets, to improve the accuracy of classification algorithm; then, it further uses the Leastsquares Cubic Spline Curves Approximation (LCSCA) technology to represent the training sample sets, and builds a motion pattern classification sample dictionary; finally, it uses lp norm minimized sparse representation classification model to realize the classification of motion patterns. The verification experiment based on real spatial-temporal trajectory dataset indicates that, this method can effectively realize the motion pattern classification of marine targets, and shows better time performance and classification accuracy than other representative classification methods.


2019 ◽  
Vol 146 (4) ◽  
pp. 2795-2795
Author(s):  
Athanasios Papaioannou ◽  
Stephen Elliott ◽  
Jordan Cheer
Keyword(s):  

2005 ◽  
Vol 85 (1) ◽  
pp. 1-11 ◽  
Author(s):  
Dorota Krassowska ◽  
Janusz Matkowski

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