Non-Euclidean and non-metric dissimilarities

Monday, January 14th, 2013 at 00:00  

…do not fit, however, to an Euclidean space. It is not possible to find a representation in a two- or higher-dimensional Euclidean space in which the distances between the vectors…

Machine learning and pattern recognition

Thursday, October 18th, 2012 at 00:00  

…domain such that the existing learning procedures can be applied as they need a proper representation of the objects it is applied to. Pattern recognition primarily cares about the representation….

Statistical pattern recognition

Thursday, September 13th, 2012 at 00:00  

…This is called representation. On the basis of the representation the observations can be related. The pattern recognition task is to generalize these relations to rules that should hold for…

My classifier scores 50% error. How bad is that?

Friday, April 3rd, 2015 at 17:27  

…representation. Assume that the class probabilities or densities as well as the class prior probabilities (which is the probability that an arbitrary object belongs to class ), are known for…

Distances and densities

Friday, October 26th, 2012 at 00:00  

…the new object and we want to use them for classifying it, they should be related. It is then necessary to find an object representation that enables us to relate…

Non-Euclidean embedding

Monday, January 21st, 2013 at 00:00  

…Let be a symmetric dissimilarity matrix with non-negative values and zeros on the diagonal, then can be split in two matrices and by such that both, and are perfectly embeddable…

Non-metric dissimilarities are all around

Monday, March 4th, 2013 at 00:00  

…A big advantage of the representation of objects by a dissimilarity space over the use of kernels is that it has no problems with the usage of non-Euclidean dissimilarity…

The ten Aristotelian categories, features and dissimilarities

Thursday, August 14th, 2014 at 16:49  

…recognizing objects by the dissimilarity representation, often discussed on this website. It does not use any feature. Instead, it relates objects to other objects by differences in shape. This discussion…

PRTools History

Monday, November 26th, 2012 at 00:00  

…Elzbieta Pekalska for dissimilarity based pattern recognition (DisTools). Pavel Paclik founded his own company (perClass) inspired by these efforts. For a number of years he continued to support PRTools by…

Features need statistics, as they reduce

Monday, October 22nd, 2012 at 00:00  

…representation used for pattern recognition: the feature space. Objects belonging to different pattern classes differ. Otherwise it would not be possible to distinguish these classes. May be the differences can…

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