We study the existence and uniqueness of solution a non-linear coupled system constituted degenerate diffusion-growth-fragmentation equation differential equation, resulting from modeling bacterial growth in chemostat. This is derived, large population approximation, stochastic individual-based model where each individual characterized by non-negative real valued trait described diffusion. Two ...

The circle is a useful morphological structure: in many situations, the importance is focused on the measuring of the similarity of a perfect circle against the object of interest. Traditionally, the well-known geometrical structures are employed as useful geometrical descriptors, but an adequate characterization and recognition are deeply affected by scenarios and physical limitations (such as...

In probabilistic logic entailments, even moderate size problems can yield linear constraint systems with so many variables that exact methods are impractical. This difficulty can be remedied in many cases of interest by introducing a three­ valued logic (true, false, and "don't care"). The three-valued approach allows the construction of "compressed" constraint systems which have the same solut...

We propose a new model for probabilistic image segmentation with spatial coherence through a Markov Random Field prior. Our model is based on a generalized information measure between discrete probability distribution (βMeasure). This model generalizes the quadratic Markov measure field models (QMMF). In our proposal, the entropy control is achieved trough the likelihood energy. This entropy co...

It is crucial for accurate model checking that the model be a complete and faithful representation of the system. Unfortunately, this is not always possible, mainly because of two reasons: (i) the model is still under development and (ii) the correctness of implementation of some modules is not established. In such circumstances, is it still possible to get correct answers for some model checki...

Given a constraint set with k constraints in the framework of Optimality Theory (OT), what is its capacity as a classification scheme for linguistic data? One useful measure of this capacity is the size of the largest data set (i.e. set of input-output pairs) of which each subset is consistent with a different grammar hypothesis. This metric is known as the Vapnik-Chervonenkis Dimension (VCD) a...