Package smile.math.distance

Interface Metric<T>

Type Parameters:
T - the input type of metric function.
All Superinterfaces:
Distance<T>, Serializable, ToDoubleBiFunction<T,T>
All Known Implementing Classes:
ChebyshevDistance, EditDistance, EuclideanDistance, JensenShannonDistance, LeeDistance, MahalanobisDistance, ManhattanDistance, MinkowskiDistance, SparseChebyshevDistance, SparseEuclideanDistance, SparseManhattanDistance, SparseMinkowskiDistance
public interface Metric<T> extends Distance<T>
A metric function defines a distance between elements of a set. Besides non-negativity, isolation, and symmetry, it also has to satisfy triangular inequality.
  • non-negativity: d(x, y) >= 0
  • isolation: d(x, y) = 0 if and only if x = y
  • symmetry: d(x, y) = d(x, y)
  • triangular inequality: |x - y| + |y - z| >= |x - z|.