Assume that we observe a small set of entries or linear combinations of entries of an unknown matrix A0 corrupted by noise. We propose a new method for estimating A0 which does not rely on the knowledge or an estimation of the standard deviation of the noise σ. Our estimator achieves, up to a logarithmic factor, optimal rates of convergence under the Frobenius risk and, thus, has the same predi...

Data analysis in MRI usually entails a series of processing procedures. One of these procedures is noise assessment, which in the context of this work, includes both the identification of noise-only pixels and the estimation of noise variance (standard deviation). Although noise assessment is critical to many MRI processing techniques, the identification of noise-only pixels has received less a...

Objectives: The respiratory function is often overlooked in people with Low Back Pain (LBP), while it is one of the factors for the continuation and recurrence of lumbar spine injury. Aim of this study was survay the immediate effect of Respiratory Muscle Sprint-Interval Training (RMSIT) on the plantar pressure variables of athletes with LBP. Methods: This randomized controlled trial was condu...

Hand, Foot and Mouth Disease (HFMD) is an emerging viral disease, and at present, there are no antiviral drugs or vaccines available to control it. Outbreaks have persisted for the past 10 years, particularly in northern Thailand. This study aimed to elucidate the phenomenon of HFMD outbreaks from 2003 to 2012 using general statistics and spatial-temporal analysis employing a GIS-based method. ...

Spatial autocorrelation, cold and hot spot analysis, standard deviation ellipse analysis were used to analyze the spatial distribution of intangible cultural heritage (ICH). Geodetectors reveal factors that influenced in Shandong Province. The results showed that: (1) ICH Province covered most types with difference number expressions a different type. Traditional artistry, traditional art, spor...

The change of spatial and temporal distribution precipitation has an important impact on urban water security. effect land cover use (LCLUC) the needs to be further studied. In this study, transfer matrix, standard deviation ellipse autocorrelation analysis techniques were used. Based data precipitation, paper analyzed its influence pattern in Guangdong–Hong Kong–Macao Greater Bay Area (GBA). r...

Let $a_1, \ldots, a_n \in \mathbb{R}$ satisfy $\sum_i a_i^2 = 1$, and let $\varepsilon_1, \varepsilon_n$ be uniformly random $\pm 1$ signs $X \sum_{i=1}^{n} a_i \varepsilon_i$. It is conjectured that \varepsilon_i$ has $\Pr[X \geq 1] 7/64$. The best lower bound so far $1/20$, due to Oleszkiewicz. In this paper we improve 6/64$.

SDG15.3 aims to achieve “Land Degradation Neutrality (LDN)”, but its only indicator (SDG15.3.1) is designed for national-level assessment and monitoring, not suitable local-level applications. Thus, taking Inner Mongolia as the study area, this paper provides a localized reform of SDG15.3.1 based on local context, assesses progress in area (2000-2020) at multiple levels (indicator, specific, ov...