Inspired by the article Weak Convergence Rate of a Time-Discrete Scheme for Heston Stochastic Volatility Model, Chao Zheng, SIAM Journal on Numerical Analysis 2017, 55:3, 1243–1263, we studied weak error discretization schemes model, which are based exact simulation underlying volatility process. Both an Euler- and trapezoidal-type scheme log-asset price, established order one smooth payoffs wi...

The concept of open weak CAD is introduced. Every open CAD is an open weak CAD. On the contrary, an open weak CAD is not necessarily an open CAD. An algorithm for computing open weak CADs is proposed. The key idea is to compute the intersection of projection factor sets produced by different projection orders. The resulting open weak CAD often has smaller number of sample points than open CADs....

Measurements of parity-violating asymmetries in the scattering of longitudinally polarized electrons off unpolarized fixed targets are used to access leptonic and semi-leptonic weak neutral current amplitudes. One thrust of the current program is the measurement the elastic neutral weak amplitude at very low Q from scattering off a heavy spinless nucleus, which is sensitive to the presence of a...

We discuss the problem of well-posedness of the Euler-Poisson system arising, for example, in the mathematical theory of semi-conductors, models of plasma and gaseous stars in astrophysics. We introduce the concept of dissipative weak solution satisfying, in addition to the standard system of integral identities replacing the original system of partial differential equations, the balance of tot...

background and aims. various morphologies are seen in different salivary gland tumorsor within an individual tumor, and the lesions show divers biological behaviors. experimental results support the hypothesis that increased crkii proto-oncogene is associated with cytokine-induced tumor initiation and progression by altering cell motility signaling pathway. the aim of this study was to assess t...

We introduce and study the notion of weak semi-greedy systems—which is inspired in concepts branch systems thresholding sets-, prove that infinite dimensional Banach spaces, notions semi-greedy, almost greedy Markushevich bases are all equivalent. This completes extends some results from (Berná J Math Anal Appl 470:218–225, 2019; Dilworth et al. Studia 159:67–101, 2003; Funct 263:3900–3921, 201...

We consider the problem of learning a distance metric from a limited amount of pairwise information as effectively as possible. The proposed SERAPH (SEmi-supervised metRic leArning Paradigm with Hyper sparsity) is a direct and substantially more natural approach for semi-supervised metric learning, since the supervised and unsupervised parts are based on a unified information theoretic framewor...

Context. Weak-lensing surveys need accurate theoretical predictions for interpretation of their results and cosmologicalparameter estimation. Aims. We study the accuracy of various approximations to cosmic shear and weak galaxy-galaxy lensing and investigate effects of Born corrections and lens-lens coupling. Methods. We use ray-tracing through the Millennium Simulation, a large N -body simulat...