We address the rectangular matrix completion problem by lifting the unknown matrix to a positive semidefinite matrix in higher dimension, and optimizing a nonconvex objective over the semidefinite factor using a simple gradient descent scheme. WithO(μr2κ2nmax(μ, log n)) random observations of a n1×n2 μ-incoherent matrix of rank r and condition number κ, where n = max(n1, n2), the algorithm line...

Several optimization approaches have been compared to optimally locate and power size the RBSs of a GSM network, in order to efficiently dimension the transceiver properties without exceeding radioprotection limits. Such optimization tools are embedded within a planning system where several modules interact, exploiting each other’s features. In particular, the optimum planning tools exploit the...

We determine the crossover exponents associated with the traceless tensorial quadratic field, the thirdand fourth-harmonic operators for O(n) vector models by re-analyzing the existing six-loop fixed dimension series with the pseudo-ǫ expansion. With this approach we obtain accurate theoretical estimates that are in optimum agreement with other theoretical and experimental results. PACS Numbers...

To overcome the limitation of artificial judgment of meibomian gland morphology, we proposed a solution based on an improved fuzzy c-means (FCM) algorithm and rough sets theory. The rough sets reduced the redundant attributes while ensuring classification accuracy, and greatly reduced the amount of computation to achieve information dimension compression and knowledge system simplification. How...

\The skull seems broken as with some big weapon, but there's no weapon at all lying about, and the murderer would have found it awkward to carry it away, unless the weapon was to small to be noticed." \Perhaps the weapon was too big to be noticed," said the priest, with an odd little giggle. Gilder looked round at this wild remark, and rather sternly asked Brown what he meant. \Silly way of put...

Model-free decentralized optimizations and learning are receiving increasing attention from theoretical and practical perspectives. In particular, two fully decentralized learning algorithms, namely Trial and Error (TEL) and Optimal Dynamical Learning (ODL), are very appealing for a broad class of games. In fact, ODL has the property to spend a high proportion of time in an optimum state that m...

Mobile packet services are penetrating mobile markets rapidly. The mobile industry relies heavily on data services to replace traditional voice services. Designing a reliable packet service network is critical to the mobile operators’ ability to maintain their core competence in a data service market. The current literature provides many practical tools and theoretical methods to design, plan a...