We combine random forest (RF) and conditional random field (CRF) into a new computational framework, called random forest random field (RF). Inference of (RF) uses the Swendsen-Wang cut algorithm, characterized by MetropolisHastings jumps. A jump from one state to another depends on the ratio of the proposal distributions, and on the ratio of the posterior distributions of the two states. Prior...

Image segmentation plays an important role in abnormality detection. In difficult image segmentation problems, multidimensional feature vectors from filter banks provide effective classification within homogeneous regions. However, such band limited feature vectors often exhibit transitory errors at the boundaries between two regions. At boundaries, the feature vector may make a transition thro...

Piecewise smooth models. Markov Random Fields. EM. Mean Field Theory. NOTE: NOT FOR DISTRIBUTION!!

In this paper, we review some potential applications of random Vandermonde matrices in the field of signal processing and wireless communications. Using asymptotic results based on the theory of random Vandermonde matrices, we show through several application examples, namely deconvolution, wireless capacity analysis and sampling theory, the research potential of this theory. Quite surprisingly...

This paper examines the connection between loss networks without controls and Markov random field theory. The approach taken yields insight into the structure and computation of network equilibrium distributions, and into the nature of spatial dependence in networks. In addition, it provides further insight into some commonly used approximations, enables the development of more refined approxim...

The paper contains an exposition of recent as well as sufficiently old results on determinantal random point fields . We start with some general theorems including the proofs of the necessary and sufficient condition for the existence of determinantal random point field and a criterion for the weak convergence of its the distribution. In the second section we proceed with the examples of the de...

We develop a field-theoretical description of dynamical heterogeneities and fluctuations in supercooled liquids close to the (avoided) MCT singularity. Using quasi-equilibrium arguments, we eliminate time from the description and we completely characterize fluctuations in the beta regime. We identify different sources of fluctuations and show that the most relevant ones are associated to variat...

An order parameter description of the Anderson-Mott transition (AMT) is given. We first derive an order parameter field theory for the AMT, and then present a mean-field solution. It is shown that the mean-field critical exponents are exact above the upper critical dimension. Renormalization group methods are then used to show that a random-field like term is generated under renormalization. Th...