2,476 research outputs found
Tangentially biharmonic Lagrangian H-umbilical submanifolds in complex space forms
The notion of Lagrangian -umbilical submanifolds was introduced by B. Y.
Chen in 1997, and these submanifolds have appeared in several important
problems in the study of Lagrangian submanifolds from the Riemannian geometric
point of view. Recently, the author introduced the notion of tangentially
biharmonic submanifolds, which are defined as submanifolds such that the
bitension field of the inclusion map has vanishing tangential component. The
normal bundle of a round hypersphere in can be immersed as a
tangentially biharmonic Lagrangian -umbilical submanifold in .
Motivated by this fact, we classify tangentially biharmonic Lagrangian
-umbilical submanifolds in complex space forms
Biharmonic C-parallel Legendrian submanifolds in 7-dimensional Sasakian space forms
This paper corrects the classification result for biharmonic C-parallel
Legendrian submanifolds presented by D. Fetcu and C. Oniciuc in [Tohoku Math.
J. 64 (2012), 195-222].Comment: 10 page
Multiuser Detection by MAP Estimation with Sum-of-Absolute-Values Relaxation
In this article, we consider multiuser detection that copes with multiple
access interference caused in star-topology machine-to-machine (M2M)
communications. We assume that the transmitted signals are discrete-valued
(e.g. binary signals taking values of ), which is taken into account as
prior information in detection. We formulate the detection problem as the
maximum a posteriori (MAP) estimation, which is relaxed to a convex
optimization called the sum-of-absolute-values (SOAV) optimization. The SOAV
optimization can be efficiently solved by a proximal splitting algorithm, for
which we give the proximity operator in a closed form. Numerical simulations
are shown to illustrate the effectiveness of the proposed approach compared
with the linear minimum mean-square-error (LMMSE) and the least absolute
shrinkage and selection operator (LASSO) methods.Comment: submitted; 6 pages, 7 figure
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