We introduce NaturalInversion, a novel model inversion-based method to synthesize images that agrees well with the original data distribution without using real data. In we propose: (1) Feature Transfer Pyramid which uses enhanced image prior of by combining multi-scale feature maps extracted from pre-trained classifier, (2) one-to-one approach generative where only one batch are synthesized ge...

We present a procedure for asymptotic gluing of hyperboloidal initial data sets the Einstein field equations that preserves shear-free condition. Our construction is modeled on in Isenberg et al. (Ann Henri Poincare 11(5):881–927, 2010), but with significant modifications incorporate rely special Holder spaces, and corresponding theory elliptic operators weakly asymptotically hyperbolic manifol...

A natural way to represent a 1-D probability distribution is to store its cumulative distribution function (cdf) F (x) = Prob(X ≤ x). When several random variables X1, . . . , Xn are independent, the corresponding cdfs F1(x1), . . . , Fn(xn) provide a complete description of their joint distribution. In practice, there is usually some dependence between the variables, so, in addition to the mar...

To investigate whether any parameter other than packing density determines the quality of packing in a folded protein, the contribution of van der Waals interactions between hydrophobic core residues to protein stability at fixed packing density is investigated experimentally in this study. To this end, we employed a novel sequence variation scheme called “residue shuffling”, defined as permuta...

The experiments testing the theoretical adequacy and the practical usefulness of the Functional Generative Description (FGD) are described. The FGD consists of a generative component, which, in the experimental version, has the shape of a context-free grammar combined with elements of dependency approach, and the other components having the form of pushdown store automata. The latter components...

The hard sphere model is known to show a liquid-solid phase transition, with the solid expected to be either face centered cubic or hexagonal close packed. The differences in free energy of the two structures is very small and various attempts have been made to determine which structure is the more stable. We contrast the different approaches and extend one. 1 Research supported in part by NSF ...