Definition 6. A model (or structure) A for a language L is an ordered pair hA; Ii where A is a nonempty set and I is an interpretation function with domain the set of all constant, function and relation …

It covers the logical, linguistic, psychological and information-theoretic parts of the cognitive sciences as well as math- ematical tools for them. The emphasis is on the theoretical and inter- disciplinary …

WHAT IS A HIDDEN MARKOV MODEL (HMM)? A Hidden Markov Model, is a stochastic model where the states of the model are hidden. Each state can emit an output which is observed. Imagine: You …

In this paper we argue for explaining machine learning predictions using model-agnostic approaches.

In this paper, these concepts are defined in algebraic terms, using morphisms, functors and natural transformations. It is argued that inference on the basis of a model is not possible unless the model …

Why spend much time talking about models? Modeling and simulation could take 80% of control analysis effort. Model is a mathematical representations of a system Models allow simulating and …

Another recent monograph on model theory is Model Theory by Wilfrid Hodges. This book contains many results and examples that are otherwise only available in journal articles, and gives a very …