In this letter, we propose Push-SAGA, a decentralized stochastic first-order method for finite-sum minimization over directed network of nodes. Push-SAGA combines node-level variance reduction to remove the uncertainty caused by gradients, network-level gradient tracking address distributed nature data, and push-sum consensus tackle information exchange. We show that achieves linear convergence...

Abstract New media hot events are currently in a complex network environment. Today's mass emergencies that spread quickly and gather many people. Based on this research background, the paper proposes to use nonlinear differential equation method simulate propagation of emergencies. We strive achieve goal minimizing total social loss through economic subsidies, taking into account government's ...

Push back design as a complex task, is one of the major steps in the open pit mines planning. Push backs can be generated by varying economic factors such as commodity price, mining cost, processing cost, etc. Another important issue in generating push backs is grade uncertainty, which can cause the problem be more complex. Conventional methods of push back design ignore grade uncertainty. To o...

Endurance time (ET) method is a relatively new performance-based earthquake method for structural evaluation and design. In this method, the structure is subjected to a gradually intensifying accelorogram(s) and its performance is assessed based on the maximum time duration that it can meet the specified performance objectives. Using moment-resisting and braced frames which are rehabilitated by...

During bipedal walking, modern humans dorsiflex their forefoot at the metatarsophalangeal joints (MTPJs) prior to push off, which tightens the plantar soft tissues to convert the foot into a stiff propulsive lever. Particular features of metatarsal head morphology such as "dorsal doming" are thought to facilitate this stiffening mechanism. In contrast, chimpanzees are believed to possess MTPJ m...

Nonlinear dynamic tools have been statistically validated at the group level to identify subtle differences in system wide regulation of brain meso-circuits, often increasing clinical sensitivity over conventional analyses alone. We explored the feasibility of extracting information at the single-subject level, illustrating two pairs of healthy individuals with psychological differences in stre...

The development of mathematical models for describing the dynamic behaviours of fluid conveying pipes, micro-pipes and nanotubes under the influence of some thermo-mechanical parameters results into nonlinear equations that are very difficult to solve analytically. In cases where the exact analytical solutions are presented either in implicit or explicit forms, high skills and rigorous mathemat...

Human immunodeficiency virus (HIV) infection is associated with reduced muscle mass and adverse metabolic effects. We evaluated the impact of HIV infection on longitudinal exercise performance in US Air Force (USAF) members with HIV infection.USAF members perform standardized fitness assessments every 6 to 12 months with a composite score comprised of abdominal circumference, push-ups, sit-ups,...