Maxim Rabinovich, Aaditya Ramdas, Michael I. Jordan, Martin J. Wainwright.

Source: Bayesian Analysis, Volume 15, Number 2, 505--532.

Abstract:
Slow mixing is the central hurdle is applications of Markov chains, especially those used for Monte Carlo approximations (MCMC). In the setting of Bayesian inference, it is often only of interest to estimate the stationary expectations of a small set of functions, and so the usual definition of mixing based on total variation convergence may be too conservative. Accordingly, we introduce function-specific analogs of mixing times and spectral gaps, and use them to prove Hoeffding-like function-specific concentration inequalities. These results show that it is possible for empirical expectations of functions to concentrate long before the underlying chain has mixed in the classical sense, and we show that the concentration rates we achieve are optimal up to constants. We use our techniques to derive confidence intervals that are sharper than those implied by both classical Markov-chain Hoeffding bounds and Berry-Esseen-corrected central limit theorem (CLT) bounds. For applications that require testing, rather than point estimation, we show similar improvements over recent sequential testing results for MCMC. We conclude by applying our framework to real-data examples of MCMC, providing evidence that our theory is both accurate and relevant to practice.

A firefly mating ritual turns into a synchronized light show

A new theory suggests the hot, harsh planet’s interior could have contained volatiles like water

The "lost" apples will help restore genetic, culinary diversity to a crop North America once produced in astonishing variety

Catch the musical event, featuring Sting, Death Cab for Cutie front man Ben Gibbard and other artists, on YouTube tonight at 8 p.m. Eastern time

Business owners throughout northern Ontario will have the chance Friday morning to speak directly with federal Economic Development Minister Mélanie Joly.

Before probing blots for the presence of an antigen, the total composition of the transferred proteins can be determined by staining the nitrocellulose or polyvinylidene fluoride (PVDF) membrane. Staining for proteins is useful to determine the position of the non-prestained molecular weight markers or individual lanes on the gel and to ensure that efficient transfer has occurred. It can be also used to verify equal loading of the samples in the gel when a comparison of the protein of interest between the different samples is important. The conventional procedures such as Coomassie Blue and silver staining methods used for staining polyacrylamide gels are incompatible with immunoblotting. Ponceau S is the more common staining method in immunoblotting protocols because it is compatible with antibody–antigen binding, is cost efficient, and provides a good contrast between the stained bands and background. In this protocol, nitrocellulose or PVDF membrane is rinsed with ultrapure H₂O after the transfer of proteins. Ponceau S dye is applied as an acidic aqueous solution, and the proteins on the membrane are stained with red color. The membrane is briefly destained with water and can be photographed or scanned to obtain the image of the total protein staining. Individual lane positions or the molecular weight standards can be marked with a pencil, if required.

The Bradford assay is a quick and fairly sensitive method for measuring the concentrations of proteins. It is based on the shift in absorbance maximum of Coomassie Brilliant Blue G-250 dye from 465 to 595 nm following binding to denatured proteins in solution.

When the province eventually conducts its review on the response to COVID-19, the president of the Nova Scotia Nurses’ Union can think of one thing in particular that needs to be discussed.

The union that represents thousands of Manitoba workers is asking what safety protocols were in place when a construction worker was killed after a trench wall collapsed on him earlier this week.

A reignited fire at the Bluefin Restaurant in Souris, P.E.I. has been extinguished says Souris Chief Colin LaVie.

Quebec Health Minister Danielle McCann says the government is evaluating whether to allow the world figure skating championships to go ahead next week in Montreal.

"This video footage clearly shows why La Loche Saskatchewan won't be opening up so soon," says Rita Briggs.

Determining the concentration of protein samples generally is accomplished either by measuring the UV absorbance at 280 nm or by reacting the protein quantitatively with dyes and/or metal ions (Bradford, Lowry, or BCA assays). For purified proteins, UV absorbance remains the most popular method because it is fast, convenient, and reproducible; it does not consume the protein; and it requires no additional reagents, standards, or incubations. No method of protein concentration determination is perfect because each is subject to a different set of constraints such as interference of buffer components and contaminating proteins in direct UV determination (A₂₈₀) or reactivity of individual proteins and buffer components with the detecting reagents in colorimetric assays. In cases in which protein concentration is critical (e.g., determination of catalytic rate constants for an enzyme), it may be advisable to compare the results of several assays.

European Systemic Risk Board Occasional Papers by Greg Ros

Several European countries, including Switzerland and Germany, are demanding all user data generated by coronavirus contact tracing apps be stored on-device, rather than aggregated on a centralized server.

OM Montenegro has discovered that if they are faithful and patient, they can eventually walk through doors that had once seemed closed.

BACKGROUND:

Long delays between parents’ initial concerns about their children’s development and a subsequent autism spectrum disorder (ASD) diagnosis are common. Although discussions between parents and providers about early ASD concerns can be difficult, they are critical for initiating early, specialized services. The principles of shared decision-making can facilitate these discussions. This qualitative study was designed to gain insights from parents of young children with ASD about their experiences communicating with primary care providers with the goal of identifying strategies for improving conversations and decision-making regarding the early detection of ASD.

State adviser says government was sympathetic to the economic difficulties caused by the on-going lockdown but growth in infections in areas such as the Western Cape are biggest risk to the faster reopening of the economy.

The Celtic Connections roots and traditional music festival recorded 100,000 visits this January.

From Thursday 16 January to Sunday 2 February 2020, musicians from across the world will take part in over 300 events in venues throughout Glasgow for the UK's premier celebration of celtic music.

In the lawsuit, the Chicago-based team's parents allege Little League was aware of potential residency issues, "but chose to ignore and/or deliberately conceal these facts in order to garner higher ratings, publicity, and money."

Most states take a very hands-off approach to regulating home schooling, and some advocates worry that makes it attractive to neglectful and abusive parents.

The contemporary art space Cample Line has been set up amongst the fields and agricultural vistas of Dumfriesshire for three years now. Occupying what was once a set of three single-storey mill workers cottages, before it was knocked through and given a second storey in the Victorian period, it will open for the 2020 season later this month with a somewhat aptly themed exhibition – “Acts for placing woollen and linen” - by the American conceptual artist Helen Mirra, whose strong socio-envi

Survival takes precedence for adolescent patients with cancer and their families. Patients may not discuss their treatments’ potential to damage their reproductive capacity, which has significant psychological late effects in survivorship.

Strong reproductive concerns of adolescents with cancer may not be captured on current health-related quality of life instruments and may be neglected by parents’ unawareness. Parent-proxy reports of adolescent reproductive concerns are not suitable for capturing specific emotions and feelings. (Read the full article)

Nearly one-third of all US children are overweight or obese, with even higher prevalence among Mexican American children. Overweight and obesity increase systemic inflammation, contributing to increased risk for chronic diseases, such as type 2 diabetes mellitus and cardiovascular disease.

Obese Mexican American children had concurrent alterations in both inflammatory markers and traditional disease risk markers, relative to healthy weight children. Our results provide evidence partially explaining the health disparity for disease in Mexican American children who are overweight/obese. (Read the full article)

There is no literature on the concentrations of vitamin B₆ vitamers in cerebrospinal fluid of preterm and term newborn infants. This knowledge, however, is highly important, because vitamin B₆ plays a pivotal role in brain development and functioning.

In cerebrospinal fluid of newborn infants, B₆ vitamer concentrations are strongly dependent on postmenstrual age, indicating that vitamin B₆ homeostasis in brain differs between preterm and term newborns. This has implications for the evaluation of epilepsy and vitamin B₆ deficiency. (Read the full article)

Routine screening of potentially abused children with hepatic transaminases has been recommended, using a threshold of 80 IU/L to determine the need for further testing, but practice is variable, and this threshold has not been validated.

This study identified abdominal injury in a significant fraction of potentially abused children with transaminases >80 IU/L. (Read the full article)

Although most US mothers initiate breastfeeding, half fail to achieve their breastfeeding intentions. In cross-sectional and retrospective surveys, early breastfeeding difficulties are often cited as reasons for stopping breastfeeding earlier than intended.

We characterized 4179 breastfeeding concerns/problems as reported by primiparas interviewed prospectively. Concerns were highly prevalent and associated with up to ninefold greater risk of stopping breastfeeding earlier than intended. Concerns at 3 to 7 days posed the greatest risk. (Read the full article)

A serum 25-hydroxyvitamin D (25(OH)D) concentration of 20 ng/mL meets the requirements of at least 97.5% of the population older than 1 year. A recommended dietary intake to achieve this serum 25(OH)D concentration has not been established during infancy.

Daily maternal (during pregnancy) and then infant vitamin supplementation with 1000/400 IU or 2000/800 IU increases the proportion of infants with 25(OH)D ≥20 ng/mL during infancy with the higher dose sustaining this increase for longer. (Read the full article)

Attitudes and knowledge about appropriate management of common childhood illnesses may lead parents to mistakenly believe antibiotics are needed. Differences existed in antibiotic knowledge and attitudes between parents of Medicaid- and commercially insured children and according to other sociodemographic variables.

Despite efforts to decrease unnecessary antibiotic use, misconceptions about antibiotic use persist and continue to be more prevalent among parents of Medicaid-insured children. Tailored efforts for socioeconomically disadvantaged populations remain warranted to decrease parental drivers of unnecessary antibiotic prescribing. (Read the full article)

Maternal–child relationships among women raising children from sexual violence-related pregnancies (SVRPs) are not well understood. Limited case reports suggest widely varied and complex relationships. The determinants of these relationships are unknown.

With its large sample size, this article quantifies and analyzes maternal–child relationships among women raising children from SVRPs, and assesses the impact of stigma, acceptance, and maternal mental health on these relationships. (Read the full article)

Aspergillus niger, the third species responsible for invasive aspergillosis has been considered as a homogeneous species until DNA-based identification uncovered many cryptic species. These species have been recently reclassified into the Aspergillus section Nigri. However little is yet known among the section Nigri about the species distribution and the antifungal susceptibility pattern of each cryptic species. A total of 112 clinical isolates collected from 5 teaching hospitals in France and phenotypically identified as A. niger were analyzed. Identification to the species level was carried out by nucleotide sequence analysis. The Minimum Inhibitory Concentrations (MICs) of itraconazole, voriconazole, posaconazole, isavuconazole and amphotericin B were determined by both the EUCAST and gradient concentration strips methods. Aspergillus tubingensis (n=51, 45.5%) and A. welwitschiae (n=50, 44.6%) were the most common species while A. niger accounted for only 6.3% (n=7). The MICs of azoles drugs were higher for A. tubingensis than for A. welwitschiae. The MIC of amphotericin B was 2 mg/L or less for all isolates. Importantly, MICs determined by EUCAST showed no correlation with those determined by gradient concentration strips methods, these latter being lower than the former (Spearman's rank correlation tests ranging - depending on the antifungal agent - from 0.01 to 0.25; p>0.4). In conclusion, A. niger should be considered as a minority species in the section Nigri. The differences in MICs between species for different azoles underline the importance of accurate identification. Significant divergences in the determination of MIC between EUCAST and gradient concentration strips methods require further investigation.

Anidulafungin and micafungin were quantified in cerebrospinal fluid (CSF) of critically ill adults and in cerebral cortex of deceased patients. In CSF, anidulafungin levels (<0.01-0.66 μg/ml) and micafungin levels (<0.01-0.16 μg/ml) were lower than the simultaneous plasma concentrations (0.77-5.07 μg/ml and 1.21-8.70 μg/ml, respectively). In cerebral cortex, anidulafungin and micafungin levels were 0.21-2.34 μg/g and 0.18-2.88 μg/g, respectively. Thus, MIC values of several pathogenic Candida strains exceed concentrations in CSF and in brain.

Methicillin-resistant Staphylococcus aureus (MRSA) has grown to become a major burden on healthcare systems. The cumulation of limited therapeutic options and worsened patient outcomes with persistent MRSA bacteremia has driven research in optimizing its initial management. The guidelines published by the Infectious Disease of America currently recommend combination therapy for refractory MRSA bacteremia, but the utility of combining antibiotics from the start of therapy is under investigation. The alternative strategy of early use of a β-lactam antibiotics in combination with vancomycin upon initial MRSA bacteremia detection has shown promise. While this concept has gained international attention, providers should give this strategy serious consideration prior to implementation. The objective of this review is to examine retrospective and prospective evidence for early combination with vancomycin and β-lactam antibiotics, as well as explore potential consequences of combination therapy.

Treatment of exacerbations of chronic Pseudomonas aeruginosa infections in patients with cystic fibrosis (CF) is highly challenging due to hypermutability, biofilm formation and an increased risk of resistance emergence. We evaluated the impact of ciprofloxacin and meropenem as monotherapy and in combination in the dynamic in vitro CDC biofilm reactor (CBR). Two hypermutable P. aeruginosa strains, PAOmutS (MIC_{ciprofloxacin} 0.25 mg/L, MIC_meropenem 2 mg/L) and CW44 (MIC_{ciprofloxacin} 0.5 mg/L, MIC_meropenem 4 mg/L), were investigated for 120h. Concentration-time profiles achievable in epithelial lining fluid (ELF) following FDA-approved doses were simulated in the CBR. Treatments were ciprofloxacin 0.4g every 8h as 1h-infusions (80% ELF penetration), meropenem 6 g/day as continuous infusion (CI; 30% and 60% ELF penetration) and their combinations. Counts of total and less-susceptible planktonic and biofilm bacteria and MICs were determined. Antibiotic concentrations were quantified by UHPLC-PDA. For both strains, all monotherapies failed with substantial regrowth and resistance of planktonic (≥8log₁₀ CFU/mL) and biofilm (>8log₁₀ CFU/cm²) bacteria at 120h (MIC_{ciprofloxacin} up to 8 mg/L, MIC_meropenem up to 64 mg/L). Both combination treatments demonstrated synergistic bacterial killing of planktonic and biofilm bacteria of both strains from ~48h onwards and suppressed regrowth to ≤4log₁₀ CFU/mL and ≤6log₁₀ CFU/cm² at 120h. Overall, both combination treatments suppressed amplification of resistance of planktonic bacteria for both strains, and biofilm bacteria for CW44. The combination with meropenem at 60% ELF penetration also suppressed amplification of resistance of biofilm bacteria for PAOmutS. Thus, combination treatment demonstrated synergistic bacterial killing and resistance suppression against difficult-to-treat hypermutable P. aeruginosa strains.

Oil was headed for the longest run of daily gains in more than nine months on signs the worst of the supply glut may be over as production cuts start to take effect.

Staff from NHS England have been asked to travel hundreds of miles to Scotland to be tested for coronavirus, according to reports.

The Centre County United Way will host #LIVEUNITEDLive, a Facebook Live concert featuring 25 performers with Centre County or Penn State connections, beginning at 6 p.m. April 24 as a fundraiser for 28 nonprofit human service organizations.

From the creepy scales to the gaping wheel arches, the Vision Avtr is not particularly attractive, but it is environmentally friendly, from its vegan leather interior to its compostable battery.

The choice to let Huawei access non-core parts of the country's networks could place strain on the UK's relationship with the US. But with Brexit looming, the cost of cutting Huawei out could be too great.

While most parents of K-12 students seem pleased with the communication and educational activities schools are providing during the COVID-19 shutdowns, some are still concerned about how prepared their children will be for the next school year, a University of Southern California survey finds.

INTRODUCTIONWhile dealing with the question of child custody laws in India sometimes it comes on my path to choose between what way or law we choose to pursue the case, sometimes we go with the regular law that is Guardian and Ward Act or sometimes w

The latest promos of the ongoing Bigg Boss 13 show reveal that Rashami Desai's alleged boyfriend Arhaan Khan who entered as wild card contestant along with Hindustani Bhau(Vikas Fhatak), Khesari Lal Yadav, Shefali Jariwala, Himanshi Khurana and Tehseen Poonawalla, has already challenged the thick jodi of BB 13, Sidharth Shukla

"May you be blessed with all the love and happiness, just as we feel blessed to have you in our lives!" Anil Kapoor wrote for Sonam and Anand

As the government says India has been able to prevent community transmission of the coronavirus, there are concerns about at least three different clusters of cases in Delhi, in which the primary...