Matrix completion concerns the recovery of a low-rank matrix from a subset of its revealed entries, and nuclear norm minimization has emerged as an effective surrogate for this combinatorial problem. Here, we show that nuclear norm minimization can recover an arbitrary n⇥n matrix of rank r from O(nr log2(n)) revealed entries, provided that revealed entries are drawn proportionally to the local ...

Matrix completion concerns the recovery of a low-rank matrix from a subset of its revealedentries, and nuclear norm minimization has emerged as an effective surrogate for this combina-torial problem. Here, we show that nuclear norm minimization can recover an arbitrary n × nmatrix of rank r from O(nr log(n)) revealed entries, provided that revealed entries are drawnproportio...

In this paper exponential ratio and exponential product type estimators using two auxiliary variables are proposed for estimating unknown population variance y S . Problem is extended to the case of two-phase sampling. Theoretical results are supported by an empirical study.

This study evaluated the accuracy of boreal forest above-ground biomass (AGB) and volume estimates obtained using airborne laser scanning (ALS) and RapidEye data in a two-phase sampling method. Linear regression-based estimation was employed using an independent validation dataset and the performance was evaluated by assessing the bias and the root mean square error (RMSE). In the phase I, ALS ...

We extend Karma and Rappel’s improved asymptotic analysis of the phase field model to different diffusivities in solid and liquid. We consider both second-order “classical” asymptotics, in which the interface thickness is taken much smaller than the capillary length, and the new “isothermal” asymptotics, in which the two lengths are considered comparable. In the first case, if the phase field m...