Suppose E/F is a quadratic extension of number fields and GU(2, 2) is the quasi-split unitary similitude group attached to E/F . We prove functoriality from globally generic cuspidal representations of GU(2, 2)(AF ) to automorphic representations of GL6(AF ) corresponding to the twisted exterior square map on the dual side. For a split quadratic algebra E/F , the twisted exterior square map red...

Max-product (max-sum) message passing algorithms are widely used for MAP inference in MRFs. It has many variants sharing a common flavor of passing “messages” over some graph-object. Recent advances revealed that its convergent versions (such as MPLP, MSD, TRW-S) can be viewed as performing block coordinate descent (BCD) in a dual objective. That is, each BCD step achieves dual-optimal w.r.t. a...

A structurally distinct subfamily of ten dual-specificity (Thr/Tyr) protein phosphatases is responsible for the regulated dephosphorylation and inactivation of mitogen-activated protein kinase (MAPK) family members in mammals. These MAPK phosphatases (MKPs) interact specifically with their substrates through a modular kinase-interaction motif (KIM) located within the N-terminal non-catalytic do...

Maximum a-posteriori (MAP) estimation is an important task in many applications of probabilistic graphical models. Although finding an exact solution is generally intractable, approximations based on linear programming (LP) relaxation often provide good approximate solutions. In this paper we present an algorithm for solving the LP relaxation optimization problem. In order to overcome the lack ...

We present AD, a new algorithm for approximate maximum a posteriori (MAP) inference on factor graphs, based on the alternating directions method of multipliers. Like other dual decomposition algorithms, AD has a modular architecture, where local subproblems are solved independently, and their solutions are gathered to compute a global update. The key characteristic of AD is that each local subp...

The structure of the active form of the MAP kinase ERK2 has been solved, phosphorylated on a threonine and a tyrosine residue within the phosphorylation lip. The lip is refolded, bringing the phosphothreonine and phosphotyrosine into alignment with surface arginine-rich binding sites. Conformational changes occur in the lip and neighboring structures, including the P+1 site, the MAP kinase inse...

Over the past few decades, many algorithms have been proposed to improve performance of speech encryption over un-secure channel (i.e., Internet). In this paper, security level was enhanced using a dynamic dual chaotic based on Hénon map. algorithm, elements are shuffled in random fashion. Moreover, when both state variables free be used for shuffling index is toggled randomly between them acco...

Vision is one of the most important subsystems of an intelligent robot. Without vision, a robot can repeat only one predetermined job sequence where objects are espectcd to be at predetermined places. Moreover, slight disturbances can cause unpredictable circumstances in the robot environment which might prevent the robot from continuing its job scquence. Such a robot system lacks flcxibility a...