For the data projection r and noise estimation e, we can get the closed-form solutions for them respectively, as shown in Algorithm 1.1. In particular, the closed-form solution to a projection to 1-ball in updating e involves a soft thresholding operator S λ [·] Hale et al. (2008), which is defined as:

1 Let (R, +, ·) be a ring and G a semigroup. Throughout this problem let h, l, m, n vary in G unless clearly fixed. From 3.1.7, we have the semigroup ring (R[G], +, ∗) of G over R with the well-defined multiplicative operation ∗ : R[G]×R[G] → R[G], (rg)g∈G ∗ (sg)g∈G → (tg)g∈G, where tg = ∑ hl=g rh · sl. Note that we are using ∗ to emphasize when the multiplication is in R[G]. (a) We will show t...

Abstract. Critical states are studied by a real space RG in the problem with strong diagonal disorder and long range power law hopping. The RG flow of the distribution of coupling parameters is characterized by a family of non-trivial fix points. We consider the RG flow of the distribution of participation ratios of eigenstates. Scaling of participation ratios is sensitive to the nature of the ...

Serum and liver metabolites in rats fed red ginseng (RG) were analyzed by ultra-performance liquid chromatography-quadrupole time-of-flight mass spectrometry. The mass data were analyzed by partial least squares-discriminant analysis (PLS-DA) to discriminate between control and RG groups and identify metabolites contributing to this discrimination. The RG group was clearly separated from the co...

Generally converter when operated at high frequency results in losses. In this paper a single stage soft switching PFC converter analysis is done. It is developed with a new active snubber cell which provides zero-voltage transition turn ON and zero-current transition turn OFF. This type of converter circuit design does not have additional resonant components. Operating the proposed converter a...

We studied 129 female rhythmic gymnasts (RG) and 142 female artistic gymnasts (AG) who participated in the 1999 Gymnastics World Championship for RG in Osaka, Japan, and the 1999 and 2001 Gymnastics World Championships for AG in Tianjin, China (n = 48), and Ghent, Belgium (n = 94), respectively. RG were taller than average, with a mean height SD score above the 50th percentile, whereas AG were ...

We demonstrated previously that ginsenoside Rg(3) (Rg(3)), an active ingredient of Panax ginseng, inhibits brain-type Na(+) channel activity. In this study, we sought to elucidate the molecular mechanisms underlying Rg(3)-induced Na(+) channel inhibition. We used the two-microelectrode voltage-clamp technique to investigate the effect of Rg(3) on Na(+) currents (I(Na)) in Xenopus laevis oocytes...

In earlier work, the evolution operator for exact RG equation was mapped to a field theory in Euclidean AdS. This gives simple way of understanding AdS/CFT. We explore aspects this map by studying example Schrödinger free particle with time-dependent mass. is an analytic continuation ERG like equation. show instance that it can be harmonic oscillator. same techniques lead dS/CFT too.