Adaptive sampling near a limit state is important for metamodeling-based reliability analysis of structures involving an implicit function. Active learning based on the posterior mean and standard deviation provided by chosen metamodel widely used such adaptive sampling. Most studies active learning-based estimation methods use Kriging approach, which provides prediction along with its variance...

In this paper, high order semi-implicit well-balanced and asymptotic preserving finite difference WENO schemes are proposed for the shallow water equations with a non-flat bottom topography. We consider Froude number ranging from O(1) to 0, which in zero limit becomes "lake equations" balanced flow without gravity waves. apply reconstruction, coupled stiffly accurate implicit-explicit (IMEX) Ru...

I calculate the structure function for scattering from the two-body bound state in its lowest level in a non-relativistic model of confined scalar " quarks " of masses m A and m B. The scaling limit in x = q 2 /2(m A + m B)q 0 exists and is non-vanishing only for the values x = m A /(m A + m B) and x = m B /(m A + m B) which correspond to the fractions of the momentum of the two-body system car...

     The quadratic loss function has been used by decision-theoretic statisticians and economists for many years.  In this paper  the estimation of scale parameter under a bounded loss function, which is adequate for assessing quality and quality improvement, is considered with restriction to the principles of invariance and risk unbiasedness. An implicit form of minimum risk scale equivariant ...

Box-models are important for qualitative description of thermohaline circulation. Their bifurcation analysis helps to understand possible mechanisms for the loss of stability. So far, bifurcations in box-models have been studied numerically, except for the saddle-node bifurcation in the Stommel type models. We consider a box-model with turbulent fluxes. We prove that a rapid growth of the trans...

For the last two decades, matrix factorization has become one of the fundamental methods for tackling recommendation problems. Recent studies demonstrate that the interaction function dot product used in MF can limit its expressiveness and lead to sub-optimal solutions. In this work, we propose modelling user-item interaction paŠerns in an alternative way by considering positions and distances ...