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Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Geometric_median> ?p ?o }

• Geometric_median abstract "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.The geometric median is an important estimator of location in statistics, where it is also known as the L1 estimator. It is also a standard problem in facility location, where it models the problem of locating a facility to minimize the cost of transportation.The special case of the problem for three points in the plane (that is, m = 3 and n = 2 in the definition below) is sometimes also known as Fermat's problem; it arises in the construction of minimal Steiner trees, and was originally posed as a problem by Pierre de Fermat and solved by Evangelista Torricelli. Its solution is now known as the Fermat point of the triangle formed by the three sample points. The geometric median may in turn be generalized to the problem of minimizing the sum of weighted distances, known as the Weber problem after Alfred Weber's discussion of the problem in his 1909 book on facility location. Some sources instead call Weber's problem the Fermat–Weber problem, but others use this name for the unweighted geometric median problem.Wesolowsky (1993) provides a survey of the geometric median problem. See Fekete, Mitchell & Beurer (2005) for generalizations of the problem to non-discrete point sets.".
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• Geometric_median wikiPageExternalLink bmm01.ps.
• Geometric_median wikiPageID "10324687".
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• Geometric_median wikiPageOutDegree "59".
• Geometric_median wikiPageRevisionID "707877536".
• Geometric_median wikiPageWikiLink Alfred_Weber.
• Geometric_median wikiPageWikiLink Andrew_Vázsonyi.
• Geometric_median wikiPageWikiLink Annals_of_Statistics.
• Geometric_median wikiPageWikiLink Association_for_Computing_Machinery.
• Geometric_median wikiPageWikiLink Cartesian_coordinate_system.
• Geometric_median wikiPageWikiLink Category:Geometric_algorithms.
• Geometric_median wikiPageWikiLink Category:Mathematical_optimization.
• Geometric_median wikiPageWikiLink Category:Means.
• Geometric_median wikiPageWikiLink Category:Multivariate_statistics.
• Geometric_median wikiPageWikiLink Category:Nonparametric_statistics.
• Geometric_median wikiPageWikiLink Category:Operations_research.
• Geometric_median wikiPageWikiLink Center_of_mass.
• Geometric_median wikiPageWikiLink Central_tendency.
• Geometric_median wikiPageWikiLink Centroid.
• Geometric_median wikiPageWikiLink Closed-form_expression.
• Geometric_median wikiPageWikiLink Collinearity.
• Geometric_median wikiPageWikiLink Computational_Geometry_(journal).
• Geometric_median wikiPageWikiLink Convex_function.
• Geometric_median wikiPageWikiLink Coplanarity.
• Geometric_median wikiPageWikiLink Discrete_and_Computational_Geometry.
• Geometric_median wikiPageWikiLink Equivariant_map.
• Geometric_median wikiPageWikiLink Estimator.
• Geometric_median wikiPageWikiLink Euclidean_distance.
• Geometric_median wikiPageWikiLink Euclidean_space.
• Geometric_median wikiPageWikiLink Evangelista_Torricelli.
• Geometric_median wikiPageWikiLink Facility_location_problem.
• Geometric_median wikiPageWikiLink Fermat_point.
• Geometric_median wikiPageWikiLink Fréchet_mean.
• Geometric_median wikiPageWikiLink Iteratively_reweighted_least_squares.
• Geometric_median wikiPageWikiLink Journal_of_Symbolic_Computation.
• Geometric_median wikiPageWikiLink Line_(geometry).
• Geometric_median wikiPageWikiLink Local_optimum.
• Geometric_median wikiPageWikiLink Location_parameter.
• Geometric_median wikiPageWikiLink Mathematical_Programming.
• Geometric_median wikiPageWikiLink Mathematics_Magazine.
• Geometric_median wikiPageWikiLink Median.
• Geometric_median wikiPageWikiLink Metric_space.
• Geometric_median wikiPageWikiLink Model_of_computation.
• Geometric_median wikiPageWikiLink Operations_Research_(journal).
• Geometric_median wikiPageWikiLink Pierre_de_Fermat.
• Geometric_median wikiPageWikiLink Quadrilateral.
• Geometric_median wikiPageWikiLink Radons_theorem.
• Geometric_median wikiPageWikiLink Riemannian_manifold.
• Geometric_median wikiPageWikiLink Robust_statistics.
• Geometric_median wikiPageWikiLink Rotation_(mathematics).
• Geometric_median wikiPageWikiLink Semidefinite_programming.
• Geometric_median wikiPageWikiLink Similarity_(geometry).
• Geometric_median wikiPageWikiLink Steiner_tree_problem.
• Geometric_median wikiPageWikiLink Symposium_on_Theory_of_Computing.
• Geometric_median wikiPageWikiLink Tohoku_Mathematical_Journal.
• Geometric_median wikiPageWikiLink Translation_(geometry).
• Geometric_median wikiPageWikiLink Univariate.
• Geometric_median wikiPageWikiLink Weber_problem.
• Geometric_median wikiPageWikiLinkText "Geometric median".
• Geometric_median wikiPageWikiLinkText "Geometric median#Computation".
• Geometric_median wikiPageWikiLinkText "geometric median".
• Geometric_median wikiPageWikiLinkText "minimizing the sum of distances".
• Geometric_median wikiPageWikiLinkText "unweighted problem".
• Geometric_median wikiPageUsesTemplate Template:Cite_book.
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• Geometric_median subject Category:Geometric_algorithms.
• Geometric_median subject Category:Mathematical_optimization.
• Geometric_median subject Category:Means.
• Geometric_median subject Category:Multivariate_statistics.
• Geometric_median subject Category:Nonparametric_statistics.
• Geometric_median subject Category:Operations_research.
• Geometric_median hypernym Point.
• Geometric_median type Area.
• Geometric_median type Place.
• Geometric_median type Type.
• Geometric_median type Algorithm.
• Geometric_median type Area.
• Geometric_median type Center.
• Geometric_median type Discipline.
• Geometric_median type Field.
• Geometric_median type Type.
• Geometric_median type Thing.
• Geometric_median comment "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.".
• Geometric_median label "Geometric median".
• Geometric_median differentFrom Median_(geometry).
• Geometric_median sameAs Q5535496.
• Geometric_median sameAs חציון_גאומטרי.
• Geometric_median sameAs m.02q8jcy.
• Geometric_median sameAs Geometrik_medyan.
• Geometric_median sameAs Q5535496.
• Geometric_median wasDerivedFrom Geometric_median?oldid=707877536.

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