The Hough t ransform has been formulated to detect areas of linear brightness variation within an image. The formulation leads to significant computat ional advantage involving a restricted parameter search space. Two applications are included to demonstrate the efficacy of this technique.

It is well known that in low degrees of freedom dynamical systems chaotic behaviour appears. To examine this phenomenon the Sitnikov problem is a very good example which is a special case of the restricted three-body problem. In this paper we investigate the changing of the phase space structure due to the variation of the Surfaces of Sections.

The mixing rate of a Markov chain (Xt)t=0 is the minimum number of steps before the distribution of Xt is close to its stationary distribution with respect to total variation distance. In this work, we give upper and lower bounds for the mixing rate of the Gibbs sampler over Restricted Boltzmann Machines.

This paper tests Birnbaum’s (2004) theory that the constant consequence paradoxes of Allais are due to violations of coalescing, the assumption that when two branches lead to the same consequence, they can be combined by adding their probabilities. Rank dependent utility and cumulative prospect theory imply that the Allais paradoxes are due to violations of restricted branch independence, a wea...

Subject to environmental changes and recurrent isolation in the last ca. 250 Ma, cycads are often described as relicts of a previously common lineage, with populations characterized by low genetic variation and restricted gene flow. We found that on the island of Guam, the endemic Cycas micronesica has most of the genetic variation of 14 EST-microsatellites distributed within each of 18 genetic...

This paper investigates diatopic variation in a historical corpus of German. Based on equivalent word forms from different language areas, replacement rules and mappings are derived which describe the relations between these word forms. These rules and mappings are then interpreted as reflections of morphological, phonological or graphemic variation. Based on sample rules and mappings, we show ...

Here we propose a novel model family with the objective of learning to disentangle the factors of variation in data. Our approach is based on the spike-and-slab restricted Boltzmann machine which we generalize to include higher-order interactions among multiple latent variables. Seen from a generative perspective, the multiplicative interactions emulates the entangling of factors of variation. ...