Concise representations and construction algorithms for semi-graphoid independency models

Independency relationships and learning algorithms for singly connected networks

Graphical structures such as Bayesian networks or Markov networks are very useful tools for representing irrelevance or independency relationships, and they may be used to e ciently perform reasoning tasks. Singly connected networks are important speci ® c cases where there is no more than one undirected path connecting each pair of variables. The aim of this paper is to investigate the kind o...

Concise Representations of Reversible Automata

We present two concise representations of reversible automata. Both representations have a size which is comparable with the size of the minimum equivalent deterministic automaton and can be exponentially smaller than the size of the explicit representations of corresponding reversible automata. Using those representations it is possible to simulate the computations of reversible automata witho...

Commutative Quantum Current Operators, Semi-infinite Construction and Functional Models

We construct the commutative current operator x̄+(z) inside Uq(ŝl(2)). With this operator and the condition of quantum integrability on the quantum currents of Uq(ŝl(2)), we derive the quantization of the semiinfinite construction of integrable modules of ŝl(2) which has been previously obtained by means of the current operator e(z) of ŝl(2). The quantization of the functional models for ŝl(2) i...

Exploiting Stability for Compact Representation of Independency Models

New Flexible Models and Design Construction Algorithms for Mixtures and Binary Dependent Variables New Flexible Models and Design Construction Algorithms for Mixtures and Binary Dependent Variables

Nieuwe flexibele modellen en algoritmen voor het ontwerp van experimenten voor mengsels en binaire afhankelijke variabelen Thesis to obtain the degree of Doctor from the Erasmus University Rotterdam by command of the rector magnificus and in accordance with the decision of the Doctorate Board. Acknowledgments I would like to express my sincere gratitude to my doctoral promotors Professor Dennis...