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The geometric median of a discrete set of sample points in a Euclidean space is the point minimizing the sum of distances to the sample points. This generalizes the median, which has the property of minimizing the sum of distances for one-dimensional data, and provides a central tendency in higher dimensions. It is also known as the 1-median, spatial median, Euclidean minisum point, or Torricelli point. provides a survey of the geometric median problem. See for generalizations of the problem to non-discrete point sets.

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  • Geometric median
  • Mediana geométrica
  • Геометрический центр
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  • The geometric median of a discrete set of sample points in a Euclidean space is the point minimizing the sum of distances to the sample points. This generalizes the median, which has the property of minimizing the sum of distances for one-dimensional data, and provides a central tendency in higher dimensions. It is also known as the 1-median, spatial median, Euclidean minisum point, or Torricelli point. provides a survey of the geometric median problem. See for generalizations of the problem to non-discrete point sets.
  • La mediana geométrica de un conjunto discreto de puntos de una muestra en un espacio euclídeo es el punto que minimiza la suma de las distancias a los puntos de la muestra. Esto generaliza el concepto de mediana estadística, que tiene la propiedad de minimizar la suma de distancias para datos unidimensionales, y proporciona una medida de tendencia central en dimensiones superiores. También se conoce como la 1-mediana,​ mediana espacial,​ punto minisum euclidiano,​ o punto de Torricelli.()
  • Геометрический центр дискретного множества точек евклидова пространства (говоря статистическим языком — выборки) — это точка, в которой минимизируется сумма расстояний до точек множества. Геометрический центр обобщает медиану в математической статистике, которая минимизирует расстояния в одномерной выборке данных. Таким образом, геометрический центр отражает центральную тенденцию в пространствах высокой размерности. Понятие известно также по названиям 1-медиана , пространственная медиана, или точка Торричелли.
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