Prior work has shown that context-specific independence (CSI) in Bayes networks can be exploited to speed up belief updating. We examine how networks with variables exhibiting mutual exclusion (e.g. “selector variables”), as well as CSI, can be efficiently updated. In particular, singlyconnected networks, that have an additional common selector variable, can be updated in linear time, where qua...

An 8ch, 400 GHz monolithically integrated WDM channel selector featuring an array of quantum well semiconductor optical amplifiers (SOA) and arrayed waveguidegrating demultiplexer is presented. Reduction of fabrication complexity was achieved by using a single step selective area MOVPE to realize the different bandgap profiles for the SOA array and passive region. The selective growth mask dime...

5 The LASSO 9 5.1 Performance of Lasso estimates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 5.2 “Normal equations” for the LASSO solutions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 5.3 Facts about Lasso solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 This short document presents the Dantzig Selector, first introd...

given just a single parameter t. Two active-set methods were described in [11], with some concern about efficiency if p were large, where X is n× p . Later when basis pursuit de-noising (BPDN) was introduced [2], the intention was to deal with p very large and to allow X to be a sparse matrix or a fast operator. A primal–dual interior method was used to solve the associated quadratic program, b...