Local Modeling of Liouville Foliations by Billiards: Implementation of Edge Invariants

2021 ◽  
Vol 76 (2) ◽  
pp. 60-64
Author(s):  
V. V. Vedyushkina
Keyword(s):  
2012 ◽  
Vol 182-183 ◽  
pp. 1060-1064
Author(s):  
Jing Zeng ◽  
Jun Wang ◽  
Jin Yu Guo

A mutli-model modeling method based on local model is given. The modeling idea is firstly to find some data matching with the current working point from vast historical system input-output datasets, and in this paper, we give a new method of choose data information based on similarity of vector which improve the accuracy of data greatly. Secondly to choose the weight and optimum bandwidth then develop a local model using local polynomial fitting algorithm. With the change of working points, multiple local models are built. The effectiveness of the proposed method is demonstrated by simulation results.


2017 ◽  
Vol 26 (2) ◽  
pp. 696-710 ◽  
Author(s):  
Antonino Furnari ◽  
Giovanni Maria Farinella ◽  
Arcangelo Ranieri Bruna ◽  
Sebastiano Battiato
Keyword(s):  

2008 ◽  
Vol 75 (16) ◽  
pp. 4706-4720 ◽  
Author(s):  
F. Damhof ◽  
W.A.M. Brekelmans ◽  
M.G.D. Geers

2014 ◽  
Vol 8 (2) ◽  
Author(s):  
Ahmed El-Mowafy ◽  
Congwei Hu

AbstractThis study presents validation of BeiDou measurements in un-differenced standalone mode and experimental results of its application for real data. A reparameterized form of the unknowns in a geometry-free observation model was used. Observations from each satellite are independently screened using a local modeling approach. Main advantages include that there is no need for computation of inter-system biases and no satellite navigation information are needed. Validation of the triple-frequency BeiDou data was performed in static and kinematic modes, the former at two continuously operating reference stations in Australia using data that span two consecutive days and the later in a walking mode for three hours. The use of the validation method parameters for numerical and graphical diagnostics of the multi-frequency BeiDou observations are discussed. The precision of the system’s observations was estimated using an empirical method that utilizes the characteristics of the validation statistics. The capability of the proposed method is demonstrated in detection and identification of artificial errors inserted in the static BeiDou data and when implemented in a single point positioning processing of the kinematic test.


2002 ◽  
Vol 35 (1) ◽  
pp. 163-168 ◽  
Author(s):  
Katsuji Uosaki ◽  
Toshiharu Hatanaka ◽  
Norio Manabe

1997 ◽  
Vol 102 (5) ◽  
pp. 3073-3073
Author(s):  
Douglas M. Photiadis

2013 ◽  
Vol 50 (19) ◽  
pp. 2837-2845 ◽  
Author(s):  
Susanta Ghosh ◽  
Abhishek Kumar ◽  
Veera Sundararaghavan ◽  
Anthony M. Waas
Keyword(s):  

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