Continuous Markov random fields are a general formalism to model joint probability distributions over events with continuous outcomes. We prove that marginal computation for constrained continuous MRFs is #P-hard in general and present a polynomial-time approximation scheme under mild assumptions on the structure of the random field. Moreover, we introduce a sampling algorithm to compute margin...

It seems that new WMAP data require a fit with a primordial spectrum containing small negative tilt index in addition to the featureless Harrison-Zeljdovič-Peebles spectrum thus implying a broken scale invariance. We show that the data could be otherwise interpreted by a scale invariant primordial spectrum with the scale noninvariant evolution of density contrast using the Press-Schechter forma...

We consider the dynamics of interacting particles with reaction and diffusion. Starting from the underlying discrete stochastic jump process we derive a general field theory describing the dynamics of the density field, which we relate to an exact stochastic equation on the density field. We show how our field theory maps onto the original Doi-Peliti formalism, allowing us to clarify further th...

The two general data analytic questions of subgroup mining (B2.2) deal with deviations and associations (C5.2.3, C5.2.4). A deviation pattern describes a deviating behavior (distribution) of a target variable in a subgroup. Target variable and behavior type are selected by the analyst for an individual mining task, the deviating subgroups are determined by the mining method. Deviation patterns ...