Potential-Function Proofs for First-Order Methods

This note discusses proofs for convergence of first-order methods based on simple potential-function arguments. We cover methods like gradient descent (for both smooth and non-smooth settings), mirror descent, and some accelerated variants

On the Lovász theta function for independent sets in sparse graphs

We consider the maximum independent set problem on sparse graphs with maximum degree d. We show that the Lovász ϑ-function based semidefinite program (SDP) has an integrality gap of O(d/log3/2 d), improving on the previous best result of O(d/log d). This improvement is based on a new Ramsey-theoretic bound on the independence number of Kr-free graphs for large values of r. We also show that for stronger SDPs, namely, those obtained using polylog(d) levels of the SA+ semidefinite hierarchy, the integrality gap reduces to O(d/log2 d). This matches the best unique-games-based hardness result up to lower-order poly(log log d) factors. Finally, we give an algorithmic version of this SA+-based integrality gap result, albeit using d levels of SA+, via a coloring algorithm of Johansson

Effect of vitamin D supplementation on insulin kinetics and cardiovascular risk factors in polycystic ovarian syndrome: a pilot study

To assess the effect of vitamin D supplementation on parameters of Insulin Sensitivity/Resistance (IS/IR) and insulin secretion in subjects with Polycystic Ovarian Syndrome (PCOS). A prospective double-blind randomized control trial was conducted to assess the effect of vitamin D on insulin kinetics in women with PCOS. The trial was conducted in a tertiary care research hospital. A total of 36 subjects with PCOS, aged 18–35 years, were included in this study. Vitamin D3 4000  IU/day versus placebo was given once a month for 6 months and both groups received metformin. IS (by whole-body IS index or Matsuda index), IR (by homeostasis model assessment IR (HOMA-IR)) and insulin secretion (by insulinogenic index; II30) were the main outcome measures. Secondary outcome included Blood Pressure (BP), lipid profile, Disposition Index (DI) and vascular stiffness. Out of 36 subjects who consented, 32 completed the study. Subjects were randomized into two groups: group A (n = 15; metformin and vitamin D 4000  IU/day) or group B (n = 17; metformin and placebo). Oral glucose tolerance tests with 75 g glucose were carried out at baseline and 6 months after supplementation. Hypovitaminosis D was observed in 93.8% of all subjects with mean serum 25 hydroxy vitamin D level of 7.30 ± 4.45 ng/ml. After 6 months of vitamin D supplementation, there was no significant difference in any of the parameters of IS/IR (area under curve (AUC)–glucose, AUC–insulin, insulin:glucose ratio, HOMA-IR, Matsuda index, insulinogenic index and DI), II30 and cardiovascular risk factors between the two groups. Supplementation of vitamin D, at a dose of 4000  IU/day for 6 months, did not have any significant effect on parameters of IS/IR and insulin secretion in subjects with PCOS

Nanomechanical Characterization of Canine Femur Bone for Strain Rate Sensitivity in the Quasistatic Range under Dry versus Wet Conditions

As a strain rate-dependent material, bone has a different mechanical response to various loads. Our aim was to evaluate the effect of water and different loading/unloading rates on the nanomechanical properties of canine femur cortical bone. Six cross-sections were cut from the diaphysis of six dog femurs and were nanoindented in their cortical area. Both dry and wet conditions were taken into account for three quasistatic trapezoid profiles with a maximum force of 2000 μN (holding time = 30 s) at loading/unloading rates of 10, 100, and 1000 μN/s, respectively. For each specimen, 254±9 (mean ± SD) indentations were performed under different loading conditions. Significant differences were found for the elastic modulus and hardness between wet and dry conditions (P<0.001). No influence of the loading/unloading rates was observed between groups except for the elastic modulus measured at 1000 μN/s rate under dry conditions (P<0.001) and for the hardness measured at a rate of 10 μN/s under wet conditions (P<0.001). Therefore, for a quasistatic test with peak load of 2000 μN held for 30 s, it is recommended to nanoindent under wet conditions at a loading/unloading rate of 100–1000 μN/s, so the reduced creep effect allows for a more accurate computation of mechanical properties

Homozygosity Mapping and Genetic Analysis of Autosomal Recessive Retinal Dystrophies in 144 Consanguineous Pakistani Families.

PurposeThe Pakistan Punjab population has been a rich source for identifying genes causing or contributing to autosomal recessive retinal degenerations (arRD). This study was carried out to delineate the genetic architecture of arRD in the Pakistani population.MethodsThe genetic origin of arRD in a total of 144 families selected only for having consanguineous marriages and multiple members affected with arRD was examined. Of these, causative mutations had been identified in 62 families while only the locus had been identified for an additional 15. The remaining 67 families were subjected to homozygosity exclusion mapping by screening of closely flanking microsatellite markers at 180 known candidate genes/loci followed by sequencing of the candidate gene for pathogenic changes.ResultsOf these 67 families subjected to homozygosity mapping, 38 showed homozygosity for at least one of the 180 regions, and sequencing of the corresponding genes showed homozygous cosegregating mutations in 27 families. Overall, mutations were detected in approximately 61.8 % (89/144) of arRD families tested, with another 10.4% (15/144) being mapped to a locus but without a gene identified.ConclusionsThese results suggest the involvement of unmapped novel genes in the remaining 27.8% (40/144) of families. In addition, this study demonstrates that homozygosity mapping remains a powerful tool for identifying the genetic defect underlying genetically heterogeneous arRD disorders in consanguineous marriages for both research and clinical applications

Hack3D: Crowdsourcing the assessment of cybersecurity in digital manufacturing

This article summarizes lessons from the past three Hack3D events, including ways in which engineers can launch surprise attacks on digital manufacturing (DM) designs. A key outcome is a taxonomy-guided security benchmark for the DM community

Primary gastric tuberculosis – report of 5 cases

BACKGROUND: Gastric tuberculosis is rare, and usually associated with pulmonary tuberculosis or an immunodeficient state. Here, we report five cases of gastric tuberculosis in immunocompetent patients without evidence of pulmonary involvement. CASE PRESENTATION: Three patients presented with gastric outlet obstruction that required surgery to relieve the obstruction as well as to confirm the diagnosis. The remaining two had involvement of gastroesophageal junction. All of them responded well to standard antitubercular treatment. CONCLUSION: Though gastric tuberculosis is rare, it should be considered a possibility when patients present with gastric outlet obstruction or with endoscopic evidence of diffuse chronic inflammatory activity, particularly in areas endemic for tuberculosis

A Survey of Cybersecurity of Digital Manufacturing

The Industry 4.0 concept promotes a digital manufacturing (DM) paradigm that can enhance quality and productivity, which reduces inventory and the lead time for delivering custom, batch-of-one products based on achieving convergence of additive, subtractive, and hybrid manufacturing machines, automation and robotic systems, sensors, computing, and communication networks, artificial intelligence, and big data. A DM system consists of embedded electronics, sensors, actuators, control software, and interconnectivity to enable the machines and the components within them to exchange data with other machines, components therein, the plant operators, the inventory managers, and customers. This article presents the cybersecurity risks in the emerging DM context, assesses the impact on manufacturing, and identifies approaches to secure DM

High risk for occupational exposure to HIV and utilization of post-exposure prophylaxis in a teaching hospital in Pune, India

<p>Abstract</p> <p>Background</p> <p>The risk for occupational exposure to HIV has been well characterized in the developed world, but limited information is available about this transmission risk in resource-constrained settings facing the largest burden of HIV infection. In addition, the feasibility and utilization of post-exposure prophylaxis (PEP) programs in these settings are unclear. Therefore, we examined the rate and characteristics of occupational exposure to HIV and the utilization of PEP among health care workers (HCW) in a large, urban government teaching hospital in Pune, India.</p> <p>Methods</p> <p>Demographic and clinical data on occupational exposures and their management were prospectively collected from January 2003–December 2005. US Centers for Diseases Control guidelines were utilized to define risk exposures, for which PEP was recommended. Incidence rates of reported exposures and trends in PEP utilization were examined using logistic regression.</p> <p>Results</p> <p>Of 1955 HCW, 557 exposures were reported by 484 HCW with an incidence of 9.5 exposures per 100 person-years (PY). Housestaff, particularly interns, reported the greatest number of exposures with an annual incidence of 47.0 per 100 PY. Personal protective equipment (PPE) was used in only 55.1% of these exposures. The incidence of high-risk exposures was 6.8/100 PY (n = 339); 49.1% occurred during a procedure or disposing of equipment and 265 (80.0%) received a stat dose of PEP. After excluding cases in which the source tested HIV negative, 48.4% of high-risk cases began an extended PEP regimen, of whom only 49.5% completed it. There were no HIV or Hepatitis B seroconversions identified. Extended PEP was continued unnecessarily in 7 (35%) of 20 cases who were confirmed to be HIV-negative. Over time, there was a significant reduction in proportion of percutaneous exposures and high-risk exposures (p < 0.01) and an increase in PEP utilization for high risk exposures (44% in 2003 to 100% in 2005, p = 0.002).</p> <p>Conclusion</p> <p>Housestaff are a vulnerable population at high risk for bloodborne exposures in teaching hospital settings in India. With implementation of a hospital-wide PEP program, there was an encouraging decrease of high-risk exposures over time and appropriate use of PEP. However, overall use of PPE was low, suggesting further measures are needed to prevent occupational exposures in India.</p