Many kinds of data can be represented as a network or graph. It is crucial to infer the latent structure underlying such a network and to predict unobserved links in the network. Mixed Membership Stochastic Blockmodel (MMSB) is a promising model for network data. Latent variables and unknown parameters in MMSB have been estimated through Bayesian inference with the entire network; however, it i...

We report on a new vector model of an erbium-doped fibre laser mode locked with carbon nanotubes. This model goes beyond the limitations of the previously used models based on either coupled nonlinear Schrödinger or Ginzburg-Landau equations. Unlike the previous models, it accounts for the vector nature of the interaction between an optical field and an erbium-doped active medium, slow relaxati...

Intermediate measurements in quantum circuits compare to conditional branchings in programming languages. Due to this, quantum circuits have a natural linear-tree structure. In this paper a Genetic Programming system based on linear-tree genome structures developed for the purpose of automatic quantum circuit design is introduced. It was applied to instances of the 1-SAT problem, resulting in e...

⇑ Corresponding author. E-mail addresses: [email protected] f.uc3m.es (J.M. Valls), [email protected] (R. Aler). Similarity between patterns is commonly used in many distance-based classification algorithms like KNN or RBF. Generalized Euclidean Distances (GED) can be optimized in order to improve the classification success rate in distance-based algorithms. This idea can be extended t...

News sources, when covering an event, are emitting various reports during the course of the event’s evolution. This paper focuses on the task of summarizing such reports. After discussing the nature of evolving events (dividing them into linearly and non-linearly evolving events), we present a methodology for the creation of summaries of evolving events as they are being described by multiple s...

The aim of this report is to highlight the evolving interaction between computer architecture on the one hand and the design and analysis of algorithms for numerical linear algebra on the other. This report can best be described as a collection of pointers to aspects of the development processes of numerical linear algebra, and to various existing surveys and software. The rich variety of activ...

We discuss a stochastic interacting particles' system connected to dyadic models of turbulence, defining suitable classes solutions and proving their existence uniqueness. investigate the regularity particular family solutions, called moderate, we conclude with uniqueness invariant measures associated such moderate solutions.