Consider times series data like that displayed on the right Why shouldn't it be modeled as a regression of the dependent variable on the time variable? The regression (i.e. curve-fitting) model would analyze the data into two parts. The first is called the explained part, which is the part of the dependent variable that is captured as a function of the independent variable, which would be time ...

We propose a novel classification technique whose aim is to select an appropriate representation for each datapoint, in contrast to the usual approach of selecting a representation encompassing the whole dataset. This datum-wise representation is found by using a sparsity inducing empirical risk, which is a relaxation of the standard L0 regularized risk. The classification problem is modeled as...

Standard Molodensky is a recognised method of transforming coordinates between geodetic datums. Although less accurate than some other methods, it has the merit being direct. That to say can be applied coordinates, without involving Cartesian that give rise difficulties in computing latitude. This paper considers use when at least one datums 2D+1D nature, meaning horizontal and vertical positio...

One main geodetic objective of the European Space Agency’s satellite mission GOCE (gravity eld and steady-state ocean circulation explorer) is the contribution to global height system uni cation. This can be achieved by applying the Geodetic Boundary Value Problem (GBVP) approach. Thereby one estimates the unknown datum offsets between different height networks (datum zones) by comparing the ph...

This paper intends to treat the use of the Spatial Reference Object Model to enhance Projection and Datum Transformations in ArcGis. In the daily education and research experience in our institute ( ITC, The Netherlands) we are often faced with problems about how to combine information from existing paper maps with data from GPS-readings or with scanned maps or satellite imagery. The correct in...