We present a fully nonparametric method to estimate the value function, via simulation, in the context of expected infinite-horizon discounted rewards for Markov chains. Estimating such value functions plays an important role in approximate dynamic programming. We incorporate “soft information” into the estimation algorithm, such as knowledge of convexity, monotonicity, or Lipchitz constants. I...

The contributions of subleading shape functions to inclusive decay distributions of B mesons are derived from a systematic two-step matching of QCD current correlators onto soft-collinear and heavy-quark effective theory. At tree-level, the results can be expressed in terms of forward matrix elements of bi-local light-cone operators. Fourquark operators, which arise at O(αs), are included. Our ...

This paper proposes a recursive diffeomorphism based regression method for onedimensional generalized mode decomposition problem that aims at extracting generalized modes αk(t)sk(2πNkφk(t)) from their superposition ∑K k=1 αk(t)sk(2πNkφk(t)). First, a one-dimensional synchrosqueezed transform is applied to estimate instantaneous information, e.g., αk(t) and Nkφk(t). Second, a novel approach base...

From the recent results of the 4 INDRA campaign at GSI, it has been found that central collisions of heavy symmetric systems lead to the formation of a heavy, hot and expanding composite nucleus, which exhibits pronounced anisotropies in the fragment yields and kinetic energies, as it has been observed in the Au+Au and Xe+Sn systems studied in the energy range of 40 to 150 A.MeV [1]. Both break...

The hypothesis that, in the leading twist approximation and to all orders of perturbative QCD, there exists a momentum scale Q$ at which hadrons are pure valence quark (or antiquark) bound states gives good results for nucleon, pion and kaon structure functions. Perturbative QCD tells us how hadron structure functions, e.g., F;N(x,Q2), evolve with Q2 for high enough Q2. But what about their sha...

  Effects of quantum size and potential shape on the spectra of an electron and a hydrogenic-donor at the center of a permeable spherical cavity have been calculated, using linear variational method. B-splines have been used as basis functions. By extensive convergence tests and comparing with other results given in the literature, the validity and efficiency of the method were confirmed.

It has been known that Reproducing Kernel Particle (RKP) shape functions with Kronecker delta property are not available in simple forms. Thus, in this paper, we construct highly regular piecewise polynomial Reproducing Polynomial Particle (RPP) shape functions that satisfy the Kronecker Delta Property. Like RKP shape functions, the RPP shape functions reproduce the complete polynomials of degr...

In this paper, some meshless methods based on the local Newton basis functions are used to solve some time dependent partial differential equations. For stability reasons, used variably scaled radial kernels for constructing Newton basis functions. In continuation, with considering presented basis functions as trial functions, approximated solution functions in the event of spatial variable wit...