A Survey On Data Mining Techniques and Applications

Data Mining refers to the analysis of experimental data sets to seek out relationships and to summarize the data in ways in which are each comprehensible and helpful. Compared with alternative DM techniques, Intelligent Systems (ISs) based mostly approaches that embody Artificial Neural Networks (ANNs), fuzzy pure mathematics, approximate reasoning, and derivative-free optimisation strategies similar to Genetic Algorithms (GAs), are tolerant of impreciseness, uncertainty, partial truth, and approximation. This paper reviews varieties of Data Mining techniques and applications

Computational Conformal Geometry: A Review

Conformal geometry is considered as a fundamental topic in pure mathematics including complex analysis, algebraic geometry, Riemann surface theory, differential geometry and algebraic topology. Computational conformal geometry has an important role in digital geometry processing. A good number of practical algorithms are presented to compute conformal mapping, which has been broadly applied in a lot of practical fields such as computer graphics, wireless sensor networks, medical imaging, visualization, and so on.  This work reviews some major concepts and theorems of conformal geometry , their computational methods and the applications for surface parameterization

Interoperability in the OpenDreamKit Project: The Math-in-the-Middle Approach

OpenDreamKit --- "Open Digital Research Environment Toolkit for the Advancement of Mathematics" --- is an H2020 EU Research Infrastructure project that aims at supporting, over the period 2015--2019, the ecosystem of open-source mathematical software systems. From that, OpenDreamKit will deliver a flexible toolkit enabling research groups to set up Virtual Research Environments, customised to meet the varied needs of research projects in pure mathematics and applications. An important step in the OpenDreamKit endeavor is to foster the interoperability between a variety of systems, ranging from computer algebra systems over mathematical databases to front-ends. This is the mission of the integration work package (WP6). We report on experiments and future plans with the \emph{Math-in-the-Middle} approach. This information architecture consists in a central mathematical ontology that documents the domain and fixes a joint vocabulary, combined with specifications of the functionalities of the various systems. Interaction between systems can then be enriched by pivoting off this information architecture.Comment: 15 pages, 7 figure