Stories can encapsulate complexity, subtlety, and nuance: all of which are implicitly contained in narrative and reasoned about automatically through the mental processes that come naturally to humans. For example, humans can package complicated plots into a relatively small set of well-recognized and meaningful linguistic terms. This summarization ability though has not been available to syste...

COMBINATORIAL MARKOV RANDOM FIELDS AND THEIR APPLICATIONS TO INFORMATION ORGANIZATION

Additive noise is known to tune the stability of nonlinear systems. Using a network two randomly connected interacting excitatory and inhibitory neural populations driven by additive noise, we derive closed mean-field representation that captures global dynamics. Building on spectral properties Erdös-Rényi networks, dynamics are obtained via projection onto random network’s principal eigenmode....

in this paper we investigate the effect of a random transverse field, distributed according to a trimodal distribution, on the phase diagram and magnetic properties of a two-dimensional lattice (square with z=4),  ferromagnetic ising system consisting of magnetic atoms with spin-1. this study is done using the effectivefield theory (eft) with correlations method. the equations are derived using...