A classification of all possible realizations of the Galilei, Galilei-similitude and Schrödinger Lie algebras in three dimensional space-time in terms of vector fields under the action of the group of local diffeomorphisms of the space R3 × C is presented. Using this result a variety of general second order evolution equations invariant under the corresponding groups are constructed and their p...

Though many cluster ensemble approaches came forward as a potential and dominant method for enhancing the robustness, stability and the quality of individual clustering systems, it is intensely observed that this approach in most cases generate a final data partition with deficient information. The primary ensemble information matrix generated in the traditional cluster ensemble approaches resu...

During plastic flow of crystalline solids, dislocations self-organize in the form of patterns, with a wavelength that is inversely proportional to stress. After four decades of investigations, the origin of this property is still under discussion. We show that dislocation patterns verifying the principle of similitude can be obtained from dynamics simulations of double slip. These patterns are ...

Empirical Similitude Method (ESM) is a technique developed to enhance the applicability of similarity methods to incorporate more realistic experimental data and scaling effects. Much of the development has been motivated by the premise of forging a relationship between experiential information and physical systems that have inherent non – linear variables and factors affecting their response. ...

Decentralised recommenders have been proposed to deliver privacy-preserving, personalised and highly scalable on-line recommendations. Current implementations tend, however, to rely on a hard-wired similarity metric that cannot adapt. This constitutes a strong limitation in the face of evolving needs. In this paper, we propose a framework to develop dynamically adaptive decentralised recommenda...