We analyse how a learner modelling engine that uses belief functions for evidence and belief representation, called XLM, reacts to different input information about the learner in terms of changes in the state of its beliefs and the decisions that it derives from them. The paper covers XLM induction of evidence with different strengths from the qualitative and quantitative properties of the inp...

We propose a proof of existence of solutions which is conceptually simpler than the previous proof in [1]. Indeed, our proof is based on a direct parabolic regularization of the problem, whereas previous proofs involved a change of unknowns rendering the problem to a parabolic-hyperbolic formulation. Moreover, we believe that our approach also gives a way to select a unique natural solution of ...

This is the second part of a series of papers where we develop rigorous decay estimates for breather solutions of an averaged version of the non-linear Schrödinger equation. In this part we study the diffraction managed discrete nonlinear Schrödinger equation, an equation which describes coupled waveguide arrays with periodic diffraction management geometries. We show that, for vanishing averag...

We prove the existence of a solution to an equation governing the number density within a compact domain of a discrete particle system for a prescribed class of particle interactions taking into account the effects of the diffusion and drift of the set of particles. Each particle carries a number of internal coordinates which may evolve continuously in time, determined by what we will refer to ...

Recognizing the link between “Cognition" and "Architectural Creation” indicates that there is a relation between subject and object. Correct understanding of this relationship helps artistic creativity, especially in the architecture, to take steps towards proving truth that have caused works to be continued over the past times. Knowledge and cognitions in architecture are categories that today...