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Nowadays data compressors are applied to many problems of text analysis, but many such applications are developed outside of the framework of mathematical statistics. In this paper we overcome this obstacle and show how several methods of classical mathematical statistics can be developed based on applications of the data compressors.
The emergence of inexpensive and unobtrusive physiological sensors has widened their application to newer and innovative areas including proactive health monitoring, smart environments and novel human-computer interfaces. The inherent variability in physiological signals across subjects poses a great challenge to traditional machine learning algorithms which are used to develop generalized classification...
We address the problem of estimating the probability of an observed string that is drawn i.i.d. from an unknown distribution. Motivated by models of natural language, we consider the regime in which the length of the observed string and the size of the underlying alphabet are comparably large. In this regime, the maximum likelihood distribution tends to overestimate the probability of the observed...
Traditional decision tree classifiers work with data whose values are known and precise. We extend such classifiers to handle data with uncertain information, which originates from measurement/quantisation errors, data staleness, multiple repeated measurements, etc. The value uncertainty is represented by multiple values forming a probability distribution function (pdf). We discover that the accuracy...
Inductive learning for classification based on information theory is one of the important topics in data mining. We here propose an maximum contribution method for classification based on information theory. According to the theory of channel transmission in information theory, the definition contribution is developed based on probability distribution of classified space, probability transfer matrices...
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