scholarly journals Klein–Gordon–Maxwell–Proca type systems in the electro-magneto-static case: the high dimensional case

Author(s):  
Emmanuel Hebey ◽  
Pierre-Damien Thizy
PLoS ONE ◽  
2021 ◽  
Vol 16 (1) ◽  
pp. e0245092
Author(s):  
Christian Bongiorno ◽  
Damien Challet

Cleaning covariance matrices is a highly non-trivial problem, yet of central importance in the statistical inference of dependence between objects. We propose here a probabilistic hierarchical clustering method, named Bootstrapped Average Hierarchical Clustering (BAHC), that is particularly effective in the high-dimensional case, i.e., when there are more objects than features. When applied to DNA microarray, our method yields distinct hierarchical structures that cannot be accounted for by usual hierarchical clustering. We then use global minimum-variance risk management to test our method and find that BAHC leads to significantly smaller realized risk compared to state-of-the-art linear and nonlinear filtering methods in the high-dimensional case. Spectral decomposition shows that BAHC better captures the persistence of the dependence structure between asset price returns in the calibration and the test periods.


2010 ◽  
Vol 27 (8) ◽  
pp. 080506 ◽  
Author(s):  
Xu Jie ◽  
Long Ke-Ping ◽  
Fournier-Prunaret Danièle ◽  
Taha Abdel-Kaddous ◽  
Charge Pascal

2008 ◽  
Vol 06 (06) ◽  
pp. 1155-1163 ◽  
Author(s):  
XIN WANG ◽  
YI-MIN LIU ◽  
LIAN-FANG HAN ◽  
ZHAN-JUN ZHANG

The first protocol of multiparty quantum secret sharing of secure direct communication [Phys. Lett. A342 (2005) 60] is generalized to the high-dimensional case via quantum superdense coding. The generalized protocol has the advantages of higher capacity and better security.


2018 ◽  
Vol 31 (2) ◽  
pp. 119-158 ◽  
Author(s):  
Hebey Emmanuel and Thizy Pierre-Damien

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