Prior knowledge

combinations of the given properties are equally valid and should be considered as well. If there are n binary properties then the difference between any two objects that are not…

The recognition task

…he is given exactly the same observation, e.g. the same picture. Only for complicated and ill defined patterns like lung x-ray images or microscope pictures of tissues an experienced observer…

Statistical pattern recognition

…accept that knowledge can be expressed in bits of information. This implies always an uncertainty. Prior knowledge however usually comes as certain. The expert cannot estimate how convinced he is…

Representation and generalization

…they come from the same production process or when they are twins, they differ. It may take some inspection before we have found the difference. Nevertheless, in spite of the…

Regularization and invariants

…mean (or are shifted to the origin before). This matrix needs to be inverted in the computation of a classifier. It will, however, be singular (having rank 0) in case…

Non-Euclidean and non-metric dissimilarities

common, as often, by definition dissimilarity measures are metric: the dissimilarity between two objects is the smallest difference that can be found according to some optimization procedure. The criteria for…

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

…probable class. However, in case of multi-class problems much larger errors may be found. How good is a 50% error for a multi-class classifier? Can we compare it in one…

What is pattern recognition?

…basis of any science, in particular, the natural sciences. The question how we do this, how we come from observations to memory and to generalization is thereby the basic scientific…

The ten Aristotelian categories, features and dissimilarities

…The founding fathers of philosophy, Plato and Aristotle, created two competing foundations for knowledge: the ideas and the categories. According to Plato reality is constituted by the non-materialistic ideas:…

Dissimilarity measures

…distance measures. There are some additional properties that may be helpful. Dissimilarities versus distances It is very common to define dissimilarity measures that are non-negative. It is however not essential….

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