Suppose x is an unknown vector in Ropfm (a digital image or signal); we plan to measure n general linear functionals of x and then reconstruct. If x is known to be compressible by transform coding with a known transform, and we reconstruct via the nonlinear procedure defined here, the number of measurements n can be dramatically smaller than the size m. Thus, certain natural classes of images with m pixels need only n=O(m1/4log5/2(m)) nonadaptive nonpixel samples for faithful recovery, as opposed to the usual m pixel samples. More specifically, suppose x has a sparse representation in some orthonormal basis (e.g., wavelet, Fourier) or tight frame (e.g., curvelet, Gabor)-so the coefficients belong to an lscrp ball for 0<ples1. The N most important coefficients in that expansion allow reconstruction with lscr2 error O(N1/2-1p/). It is possible to design n=O(Nlog(m)) nonadaptive measurements allowing reconstruction with accuracy comparable to that attainable with direct knowledge of the N most important coefficients. Moreover, a good approximation to those N important coefficients is extracted from the n measurements by solving a linear program-Basis Pursuit in signal processing. The nonadaptive measurements have the character of "random" linear combinations of basis/frame elements. Our results use the notions of optimal recovery, of n-widths, and information-based complexity. We estimate the Gel'fand n-widths of lscrp balls in high-dimensional Euclidean space in the case 0<ples1, and give a criterion identifying near- optimal subspaces for Gel'fand n-widths. We show that "most" subspaces are near-optimal, and show that convex optimization (Basis Pursuit) is a near-optimal way to extract information derived from these near-optimal subspaces

Compressed sensing

2016 ESC Guidelines for the diagnosis and treatment of acute and chronic heart failure: The Task Force for the diagnosis and treatment of acute and chronic heart failure of the European Society of Cardiology (ESC). Developed with the special contribution of the Heart Failure Association (HFA) of the ESC.

https://www.thelancet.com/pdfs/journals/lancet/PIIS0140-6736(12)61728-0.pdf

Global and regional mortality from 235 causes of death for 20 age groups in 1990 and 2010: a systematic analysis for the Global Burden of Disease Study 2010

Global strategy for asthma management and prevention

https://hull-repository.worktribe.com/preview/1797952/1-s2.0-S0140673618322797-main.pdf

Global, regional, and national incidence, prevalence, and years lived with disability for 328 diseases and injuries for 195 countries, 1990–2016: a systematic analysis for the Global Burden of Disease Study 2016

To investigate whether herpes zoster (HZ) was associated with subsequent increased risk of dementia diagnosis.

https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/acn3.51525

No evidence that herpes zoster is associated with increased risk of dementia diagnosis

Background Excess mortality from all causes combined during the COVID-19 pandemic in England and Wales in 2020 was predominantly higher for essential workers. In 2021, the vaccination programme had begun, new SARS-CoV-2 variants were identified and different policy approaches were used. We have updated our previous analyses of excess mortality in England and Wales to include trends in excess mortality by occupation for 2021. Methods We estimated excess mortality for working age adults living in England and Wales by occupational group for each month in 2021 and for the year as a whole. Results During 2021, excess mortality remained higher for most groups of essential workers than for non-essential workers. It peaked in January 2021 when all-cause mortality was 44.6% higher than expected for all occupational groups combined. Excess mortality was highest for adults working in social care (86.9% higher than expected). Conclusion Previously, we reported excess mortality in 2020, with this paper providing an update to include 2021 data. Excess mortality was predominantly higher for essential workers during 2021. However, unlike the first year of the pandemic, when healthcare workers experienced the highest mortality, the highest excess mortality during 2021 was experienced by social care workers.

Excess mortality among essential workers in England and Wales during the COVID-19 pandemic: an updated analysis

Time trends in fenoterol and asthma deaths: optical illusion or reality check?

In 1985 the Department of Health carried out a survey using a two stage stratified random sampling technique to select approximately 3000 children (made up of equal numbers of 5, 10 and 15 year olds). The principal aim was to provide a random sample of sera which could be used or stored for the future to evaluate the national immunisation programme and for screening of an ethical nature. The sampling frame was the 1983 list of public and private schools as provided by the Department of Education. Ninety primary schools and 50 secondary schools were identified, from which 3688 children were asked to participate. There was a 79% consent response rate. The survey largely succeeded in its objective of providing a nationally representative group of children, although the response rate was lower in 5 year olds (74%), in Pacific Islanders (67%), in children from upper socioeconomic status groups (75%), and in children who were reported not to have been immunised (56%). A similar survey is recommended every five years. In the mean time, laboratory analysis of the collected serum samples continues and results will be published separately.

Neil Pearce

Papers

No evidence that herpes zoster is associated with increased risk of dementia diagnosis

Excess mortality among essential workers in England and Wales during the COVID-19 pandemic: an updated analysis

Time trends in fenoterol and asthma deaths: optical illusion or reality check?

1988 New Zealand national immunisation survey: methodology.

Weekly COVID-19 testing with household quarantine and contact tracing is feasible and would probably end the epidemic: Weekly Covid-19 testing