scholarly journals $T$-duality for torus bundles with $H$-fluxes via noncommutative topology. {II}. The high-dimensional case and the $T$-duality group

2006 ◽  
Vol 10 (1) ◽  
pp. 123-158 ◽  
Author(s):  
Varghese Mathai ◽  
Jonathan Rosenberg
Keyword(s):  
Dimensional Case ◽  
High Dimensional ◽  
Duality Group ◽  
High Dimensional Case ◽  
Torus Bundles ◽  
Noncommutative Topology

scholarly journals Covariance matrix filtering with bootstrapped hierarchies

PLoS ONE ◽  
2021 ◽  
Vol 16 (1) ◽  
pp. e0245092
Author(s):  
Christian Bongiorno ◽  
Damien Challet
Keyword(s):  
Hierarchical Clustering ◽  
Nonlinear Filtering ◽  
Asset Price ◽  
Hierarchical Structures ◽  
Minimum Variance ◽  
Dimensional Case ◽  
High Dimensional ◽  
Dependence Structure ◽  
High Dimensional Case ◽  
Variance Risk

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.

Chaotic Dynamics in a Sine Square Map: High-Dimensional Case ( N ≥ 3)

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

MULTIPARTY QUANTUM SECRET SHARING OF SECURE DIRECT COMMUNICATION WITH HIGH-DIMENSIONAL QUANTUM SUPERDENSE CODING

2008 ◽  
Vol 06 (06) ◽  
pp. 1155-1163 ◽  
Author(s):  
XIN WANG ◽  
YI-MIN LIU ◽  
LIAN-FANG HAN ◽  
ZHAN-JUN ZHANG
Keyword(s):  
Secret Sharing ◽  
Quantum Secret Sharing ◽  
Dimensional Case ◽  
High Dimensional ◽  
Direct Communication ◽  
Superdense Coding ◽  
High Dimensional Case

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.

scholarly journals Outlier-Robust PCA: The High-Dimensional Case

2013 ◽  
Vol 59 (1) ◽  
pp. 546-572 ◽  
Author(s):  
Huan Xu ◽  
Constantine Caramanis ◽  
Shie Mannor
Keyword(s):  
Dimensional Case ◽  
High Dimensional ◽  
Robust Pca ◽  
High Dimensional Case
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