In this paper, we address the question, ’~/hat types of MT divergences and mismatches must be accommodated in the lexicon?" In our work, we have focused on the treatment of divergences and mismatches in an interlingual (as opposed to a tranfer-based) MT system. In such systems, one uses monolingual lexicons for each of the language under consideration, so divergences and mismatches are not hand...

Discrete normal distributions are defined as the with prescribed means and covariance matrices which maximize entropy on integer lattice support. The set of discrete form an exponential family cumulant function related to Riemann theta function. In this paper, we present several formula for common statistical divergences between including Kullback-Leibler divergence. particular, describe effici...

For dimensions close to D = 4, the Feynman integrals in momentum space derived in Chapter 4 do not converge since their integrands fall off too slowly at large momenta. Divergences arising from this short-wavelength region of the integrals are called ultraviolet (UV)-divergences. For massive fields, these are the only divergences of the integrals. In the zero-mass limit relevant for critical ph...

In the present article we consider some general class of divergent diagrams in Keldysh diagram technique. These divergences arise for non-equilibrium matter and closely related to the divergences in the kinetic theory of gases. We suggest a scheme of renormalization of such divergences and illustrate it on some examples. In the other papers of these series we develop the general theory of renor...

A central goal of comparative phylogeography is determining whether codistributed species experienced (1) concerted evolutionary responses to past geological and climatic events, indicated by congruent spatial and temporal patterns ("concerted-response hypothesis"); (2) independent responses, indicated by spatial incongruence ("independent-response hypothesis"); or (3) multiple responses ("mult...

■ Abstract Molecular clocks have profoundly influenced modern views on the timing of important events in evolutionary history. We review recent advances in estimating divergence times from molecular data, emphasizing the continuum between processes at the phylogenetic and population genetic scales. On the phylogenetic scale, we address the complexities of DNA sequence evolution as they relate t...

Abstract: The first quantum corrections to the free energy for an eternal 4-dimensional black hole is investigated at one-loop level, in the large mass limit of the black hole, making use of the conformal techniques related to the optical metric. The quadratic and logarithmic divergences as well as a finite part associated with the first quantum correction to the entropy are obtained at a gener...

We develop a semantics framework for verifying recent relaxations of differential privacy: Rényi differential privacy and zero-concentrated differential privacy. Both notions require a bound on a particular statistical divergence between two probability distributions. In order to reason about such properties compositionally, we introduce approximate span-liftings, generalizing approximate relat...

We generalise the classical Pinsker inequality which relates variational divergence to Kullback-Liebler divergence in two ways: we consider arbitrary f -divergences in place of KL divergence, and we assume knowledge of a sequence of values of generalised variational divergences. We then develop a best possible inequality for this doubly generalised situation. Specialising our result to the clas...

The species belonging to Sclerodermus (Hymenoptera: Bethylidae) are currently the most important insect natural enemies of wood borer pests, mainly buprestid and cerambycid beetles, in China. However, some sibling species of this genus are very difficult to distinguish because of their similar morphological features. To address this issue, we conducted phylogenetic and genetic analyses of cytoc...