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Geometric modeling approach to the means of positive definite symmetric metrices
International Journal of Statistics and Applied Mathematics · 2020 · Vol. 5(6) · pp. 119–124
Abstract
In this paper, we have defined and studied the geometric modeling approach to the means of positive definite symmetric metrices. In our space usual arithmetic mean is related with Euclidean metric and geometric mean is related with Riemannian metric. Also we have studied properties of Euclidean mean and invariance properties of Riemannian mean and some tools to present a classification of Riemannian metric.
Morphological variations and asymmetryMathematicsGeometric meanMetric (unit)Fundamental theorem of Riemannian geometryEuclidean spaceEuclidean distanceEuclidean geometryPositive-definite matrixFisher information metricPure mathematics
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