Extended Abstract: This talk will present several issues related to incre-mental (left-to-right) beam-search parsing of natural language using generative or discriminative models , either individually or in combination. The first part of the talk will provide background in incre-mental top-down and (selective) left-corner beam-search parsing algorithms, and in stochastic models for such derivat...

We investigate local-density dependent Markov processes on a class of large graphs sampled from graphon, where the transition rates vertices are influenced by states their neighbors. show that as average degree converges to infinity (faster than given threshold), evolution process in transient regime solution set non-local integro-partial differential equations depending limit graphon. also pro...

The scattering of elastic waves in a medium with damage from microcracking is discussed. The influence of damage from penny-shaped microcracks within a homogeneous medium is considered. The microcracks are assumed to be randomly oriented and uniformly distributed. Explicit expressions are derived for the attenuation of longitudinal and shear elastic waves in terms of the damage parameter and th...

Cellular automata are discrete agent-based models, generally used in cell-based applications. There is much interest in obtaining continuum models that describe the mean behaviour of the agents in these models. Previously, continuum models have been derived for agents undergoing motility and proliferation processes, however, these models only hold under restricted conditions. In order to narrow...