the rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. for noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. in this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, generaliz...

A very promising tool for data mining and bioinformatics is ensemble gene (feature) selection. Ensemble feature selection is the process of performing multiple runs of feature selection and then aggregating the results into a final ranked list. However, a central question of ensemble feature selection is how to aggregate the individual results into a single ranked feature list. There are a numb...

Economic analysis of rank-order tournaments has shown that intensi ied competition leads to declining performance. Empirical research demonstrates that individuals in tournament-type contests perform less well on average in the presence of larger number of competitors in total and superstars. Particularly in ield settings, studies often lack direct evidence about the underlying mechanisms, such...

Modern hardware architectures featuring multicores and a complex memory hierarchy raise challenges that need to be addressed by parallel applications programmers. It is therefore tempting to adapt an application communication pattern to the characteristics of the underlying hardware. The MPI standard features several functions that allow the ranks of MPI processes to be reordered according to a...

In this paper, we first introduce the concept of elementary linear subspace, which has similar properties to those of a set of coordinates. We then use elementary linear subspaces to derive properties of maximum rank distance (MRD) codes that parallel those of maximum distance separable (MDS) codes. Using these properties, we show that, for MRD codes with error correction capability t, the deco...

The development of randomized algorithms for numerical linear algebra, e.g. for computing approximate QR and SVD factorizations, has recently become an intense area of research. This paper studies one of the most frequently discussed algorithms in the literature for dimensionality reduction—specifically for approximating an input matrix with a low-rank element. We introduce a novel and rather i...

Little is known about the effects of revealing information on relative performance during a dynamic tournament. We empirically study the impact of interim rank on risk taking and performance using data on professionals competing in tournaments for large rewards. As our data allows us to observe both the intended action and the performance of each participant, we can thus measure risk taking and...

This paper investigates the effect of real-time control system computational delay on the performance of a hybrid adaptive cruise control (ACC) system during braking/coasting scenarios. A hierarchical hybrid ACC system with a finite state machine (FSM) at the highrank and a nonlinear sliding mode controller (SMC) at the low-rank is designed based on a vehicle dynamics model with a brake-by-wire...

We examine a Direct Sequence (DS)-Code Division Multiple Access (CDMA) system with signature optimization for interference avoidance. Reduced-rank signature optimization, in which each signature is constrained to lie in a lower-dimensional subspace, is analyzed with a matched filter receiver. Performance is studied assuming that the signature coefficients are quantized for transmission over a f...