The aim of this paper is to build up the theoretical framework for the recovery of sparse signals from the magnitude of the measurement. We first investigate the minimal number of measurements for the success of the recovery of sparse signals without the phase information. We completely settle the minimality question for the real case and give a lower bound for the complex case. We then study t...

A noisy underdetermined system of linear equations is considered in which a sparse vector (a vector with a few nonzero elements) is subject to measurement. The measurement matrix elements are drawn from a Gaussian distribution. We study the information-theoretic constraints on exact support recovery of a sparse vector from the measurement vector and matrix. We compute a tight, sufficient condit...

Background Despite debate regarding their effectiveness, many different post-exercise recovery strategies are used by athletes. This study compared five post-exercise recovery strategies (cold water immersion, contrast water immersion, active recovery, a combined cold water immersion and active recovery and a control condition) to determine which is most effective for subsequent short-term perf...

The authors of this prospective, single-case study evaluated the potential for functional recovery from chronic spinal cord injury (SCI). The patient was motor complete with minimal and transient sensory perception in the left hemibody. His condition was classified as C-2 American Spinal Injury Association (ASIA) Grade A and he had experienced no substantial recovery in the first 5 years after ...

Chronic obstructive pulmonary disease (COPD) is characterized by high cardiovascular risk, which further amplified during acute COPD exacerbations (AECOPD). Endothelial dysfunction has been previously suggested as one of the potential pathogenetic mechanisms. In order to study effects AECOPD on endothelial function assessed available functional methods, we performed a literature search involvin...

Background. Transmission efficacy of Influenza in aerosols is dependent on environmental factors such as temperature, relative humidity (RH), airflow, andUV-light.We studied the impact of these factors on the recovery of an aerosolized wild-type Influenza virus. Methods. Influenza Avirus (A/WS/33 H1N1) was aerosolized via nebulizer (droplet nuclei) and airbrush (droplet nuclei/droplet mix). Vir...

In this study we aimed to develop a habituation paradigm that allows the investigation of response decrement and response recovery and examine its applicability for measuring the habituation of the visually evoked responses (VERs) in neonatal and fetal magnetoencephalographic recordings. Two paradigms, one with a long and one with a short inter-train interval (ITI), were developed and tested in...

AIMS To assess the effectiveness of community-based supports in promoting abstinence from substance use and related problems. DESIGN AND PARTICIPANTS Individuals (n = 150) discharged from residential substance abuse treatment facilities were assigned randomly to either an Oxford House recovery home or usual after-care condition and then interviewed every 6 months for a 24-month period. INTE...

We postulated that high circulating cortisol levels during intense exercise would lead to increased serum leptin concentrations. Young, lean men ate a small meal and then exercised on a cycle ergometer for 41 min or rested on a control day. Serum leptin concentration was 10% greater during exercise than in the control condition (P < 0.05). Directly after exercise, serum leptin dropped to approx...

We show that several classical quantities controlling compressed sensing performance directly match classical parameters controlling algorithmic complexity. We first describe linearly convergent restart schemes on first-order methods solving a broad range of compressed sensing problems, where sharpness at the optimum controls convergence speed. We show that for sparse recovery problems, this sh...