Elastica catastrophe machine: theory, design and experiments

Catastrophe Theory and Urban Processes

Phenomena exhibiting discontinuous change, divergent processes, and hysteresis can be modelled w i t h catastrophe theory, a recent development in differential topology. Exposition of t h e theory is illustrated by qualitative interpretations of the appearance of functions i n central place systems, and of price cycles for urban housing. Catastrophe Theory and Urban Processes John Casti and Har...

Imperfection-sensitivity and Catastrophe Theory

The Theory of the Design of Experiments

Theory on the Design of Experiments

An experiment is a structured model to measure the validity of a hypothesis. There is extensive literature on how to design an experiment, derived by taking a already run experiment as a starting point, and determining what could be done better to get results that are more conclusive. As a result, the concept of an experiment has been treated informally, but if we seek to design an experiment, ...

Design of Experiments via Information Theory

We discuss an idea for collecting data in a relatively efficient manner. Our point of view is Bayesian and information-theoretic: on any given trial, we want to adaptively choose the input in such a way that the mutual information between the (unknown) state of the system and the (stochastic) output is maximal, given any prior information (including data collected on any previous trials). We pr...