Knowledge Space Theory was founded by Jean-Paul Doignon and Jean-Claude Falmagne in 1985. It is a great framework for structuring domains of knowledge based on prerequisite relationships. These knowledge structures can then be applied, e.g., for adaptive testing or personalised training.
Within knowledge space theory, my focus is on the adaptive assessment of knowledge. Already during the assessment, previously received answers (and their correctness) are used to infer whether or not other questions can be answered by the individual. Thus, the number of questions to be asked during the assessment can be reduced significantly.
The respective procedures are computationally quite expensive. Therefore, I am investigating more parsimonious alternatives.