The project will delve into classic and powerful techniques related to complex systems, such as graph theory, probability theory and statistics, as well as modern and promising ones such as Network Science, machine learning and data mining techniques and tools. The techniques will be explored together with application based specialised knowledge in order to provide a rigorous theoretical and algorithmic framework for the identification of semantics networks applicable to the data from different disciplines, such as Astrophysics, Neuroscience and Archaeology. For the astrophysics application, the project will address problems related to galaxy evolution and cosmology. For the astrophysics application, we wish to classify stages of processing and identifying transitions of regional activations of the brain system, using EEG and MEG data and the slow hemodynamic measures (PET and fMRI). The archaeology work involves investigation of possible relation of the evolution of ancient pottery images to how the visual system analyses information.