hyperplane
hyperplane
Noun
pl: hyperplanes
This term is primarily used in the fields of linear algebra, geometry, and machine learning. It describes a flat subspace that partitions a higher-dimensional space into two half-spaces. While a plane is a 2D object in 3D space, a hyperplane is the general version of this concept for any number of dimensions n, always having n-1 dimensions.
In the context of data science and support vector machines (SVMs), the hyperplane serves as the optimal decision boundary that separates different classes of data points. It is a technical term and is rarely used outside of mathematical or computational contexts.
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Related Words
dimensiongeometryvectorspaceplanelinearalgebramanifoldcoordinateaxispointlinesubspaceaffinenormalorthogonalperpendicularscalartensormatrixequationcoefficientinterceptslopegradientboundaryseparatorclassificationclusteringoptimizationconvexityhypervolumehyperspherehypercubetopologyEuclideanmetricdistancenormprojectionintersectionparalleldivergenceconvergencekernelperceptronneuronlayerweightbiasthresholdmarginmanifold learninglinear algebracalculusanalysisset theorybasisspanrankdeterminanteigenvalueeigenvectortransformationrotationtranslationscalingsymmetrycurvatureflatnesscodimensionembeddingmappingfunctionvariableparameter