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Physical Sciences and Mathematics Commons

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Data Science

Departmental Technical Reports (CS)

2020

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Data Analytics Beyond Traditional Probabilistic Approach To Uncertainty, Vladik Kreinovich Oct 2020

Data Analytics Beyond Traditional Probabilistic Approach To Uncertainty, Vladik Kreinovich

Departmental Technical Reports (CS)

Data for processing mostly comes from measurements, and measurements are never absolutely accurate: there is always the "measurement error" -- the difference between the measurement result and the actual (unknown) value of the measured quantity. In many applications, it is important to find out how these measurement errors affect the accuracy of the result of data processing. Traditional data processing techniques implicitly assume that we know the probability distributions. In many practical situations, however, we only have partial information about these distributions. In some cases, all we know is the upper bound on the absolute value of the measurement error. …