In this paper , we proposed a new method to build covariance matrix of gravity anomaly based on the spherical harmonic expansion of gravity anomaly , and then combined with the measured gravity data we can realize the fast and high precision interpolation and extrapolation of gravity anomaly according to the principle of least squares and the remove-compute-restore technique. The feasibility of...

An anti-aliasing formula is derived for interferometric redatuming of seismic data. More generally, this formula is valid for numerical implementation of the reciprocity equations of correlation type, which is used for redatuming, extrapolation, interpolation, and migration. The anti-aliasing condition can be, surprisingly, more tolerant of a coarser trace sampling compared to the standard anti...

A trial application of the method of Feynman-Kleinert approximants is made to perturbation series arising in connection with the lattice Schwinger model. In extrapolating the lattice strong-coupling series to the weak-coupling continuum limit, the approximants do not converge well. In interpolating between the continuum perturbation series at large fermion mass and small fermion mass, however, ...

In forestry, it is important to be able to accurately determine the volume of timber in a harvesting site and the products that could potentially be produced from that timber. We describe new terrestrial scanning technology that can produce a greater volume of higher quality data about individual trees. We show, however, that scanner data still often produces an incomplete profile of the indivi...

This study addresses, for the first time, the total prompt energy release and its components for the fission of U, U, and Pu as a function of the kinetic energy of the neutron inducing the fission. The components are extracted from experimental measurements, where they exist, together with model-dependent calculation, interpolation, and extrapolation. While the components display clear dependen...

We build a virtual agent for learning language in a 2D maze-like world. The agent sees images of the surrounding environment, listens to a virtual teacher, and takes actions to receive rewards. It interactively learns the teacher’s language from scratch based on two language use cases: sentence-directed navigation and question answering. It learns simultaneously the visual representations of th...

Models for describing the fraction of labeled metabolites in plasma are developed mainly to 1) remove noise in the measured fractions, 2) to allow interpolation of the fraction between the few metabolite samples, 3) to allow extrapolation of the fraction in cases where metabolite fraction can no longer be determined because of low activity counts, and 4) to allow the application of population b...

Mining evolving datastreams raises the question how to extrapolate trends in the evolution of densities over time. While approaches for change diagnosis work well for interpolating spatio-temporal densities, they are not designed for extrapolation tasks. This work studies the temporal density extrapolation problem and sketches two approaches that addresses it. Both use a set of pseudo-points in...

Linear interpolation is the computationally simplest of all possible interpolation techniques. Interestingly, it works reasonably well in many practical situations, even in situations when the corresponding computational models are rather complex. In this paper, we explain this empirical fact by showing that linear interpolation is the only interpolation procedure that satisfies several reasona...

27 28 ABSTRACT 29 30 This work explores the application of kriging methods for prediction of average daily traffic 31 counts across the Texas network. Results based on Euclidean distances are compared to those 32 using network distances, and both allow for strategic spatial interpolation of count values while 33 controlling for each roadway's functional classification, lane count, speed limit, ...