2 Mathematical framework and well-posedness results 4 2.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Uniform prox-regularity of sets Q(t) . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Lipschitz regularity of Q . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 Well-posedness results . . . . . . . . . . . . . . . ....

The crystal structure of APE2540, the putative trans-editing enzyme ProX from Aeropyrum pernix K1, was determined in a high-throughput manner. The crystal belongs to the monoclinic space group P2(1), with unit-cell parameters a = 47.4, b = 58.9, c = 53.6 A, beta = 106.8 degrees. The structure was solved by the multiwavelength anomalous dispersion method at 1.7 A and refined to an R factor of 16...

We give a proximal bundle method for minimizing a convex function f over R+. It requires evaluating f and its subgradients with a possibly unknown accuracy ε ≥ 0, and maintains a set of free variables I to simplify its prox subproblems. The method asymptotically finds points that are ε-optimal. In Lagrangian relaxation of convex programs, it allows for ε-accurate solutions of Lagrangian subprob...

Abstract In this paper, motivated by the competitive performance of proximal stochastic variance reduction gradient (Prox-SVRG) method, a novel general inertial Prox-SVRG (GIProx-SVRG) algorithm is proposed for solving class nonconvex finite sum problems. More precisely, Nesterov’s momentum trick-based extrapolation accelerated step incorporated into framework method. The GIProx-SVRG possesses ...

In the paper, we develop a composite version of Mirror Prox algorithm for solving convex-concave saddle point problems and monotone variational inequalities of special structure, allowing to cover saddle point/variational analogies of what is usually called “composite minimization” (minimizing a sum of an easy-to-handle nonsmooth and a general-type smooth convex functions “as if” there were no ...

Our recent studies of CO preferential oxidation (PrOx) identified systemic differences between the characteristic curves of CO conversion for a microchannel reactor with thin-film wall catalyst and conventional packed-bed lab reactors (m-PBR’s). Strong evidence has suggested that the reverse water-gas-shift (r-WGS) side reaction activated by temperature gradients in m-PBR’s is the source of the...

PURPOSE Pathological vascular differentiation in retinal vein occlusion (RVO)-related neovessel formation remains poorly characterized. The role of intraocular lymphatic-like differentiation or endothelial progenitor cell activity has not been studied in this disease. METHODS Vitrectomy was performed in an eye with hemi-RVO; the neovessel membrane located at the optic nerve head was removed a...

Compatible solutes such as glycine betaine and proline betaine are accumulated to exceedingly high intracellular levels by many organisms in response to high osmolarity to offset the loss of cell water. They are excluded from the immediate hydration shell of proteins and thereby stabilize their native structure. Despite their exclusion from protein surfaces, the periplasmic ligand-binding prote...