The OpenGIS Consortium (OGC), an industry group, has developed COM, CORBA and Java interface specifications allowing vendors to develop mutually interoperable geospatial software. OGC established the Coordinate Transformation Working Group (CT-WG) in April 1998. The working group developed a Unified Modeling Language object model of coordinate systems (CS) and coordinate transformations (CT) in...

Coordinate descent (CD) algorithms have become the method of choice for solving a number of optimization problems in machine learning. They are particularly popular for training linear models, including linear support vector machine classification, LASSO regression, and logistic regression. We consider general CD with non-uniform selection of coordinates. Instead of fixing selection frequencies...

Nanopositioning and nanomeasuring machines are 3D coordinate measuring systems with nanometer precision at measurement volumes in the cubic centimeter range. The base is formed by an interferometer system a common mirror corner. orthogonality deviations of corner require transformation axes. uncertainty must be taken into account overall budget. Starting from complete model, result model simpli...

Coordinate descent (CD) method is a classical optimization algorithm that has seen a revival of interest because of its competitive performance in machine learning applications. A number of recent papers provided convergence rate estimates for their deterministic (cyclic) and randomized variants that differ in the selection of update coordinates. These estimates suggest randomized coordinate de...