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    • Mars.Common
      • GeoHash
      • GeoHashDecoder
      • GeohashDecodeResult
      • GeoHashEncoder
      • GeoHashPrecision
      • Hyperrectangle
      • InputHashHelper
      • PositionHelper
    • Mars.Common.Collections
      • BinaryArrayHeap<T>
      • DoubleBits
      • FibonacciHeap<T, TKey>
      • FibonacciHeapDoubleKey<T>
      • FibonacciHeapNode<T, TKey>
      • FibonacciHeapNodeDoubleKey<T>
      • HeapNode
      • IntervalSize
      • K2DTree<T>
      • K2dTreeNode<T>
      • KdTree
      • KdTree<T>
      • KdTreeBase<TNode>
      • KdTreeNode
      • KdTreeNode<T>
      • KdTreeNodeBase<TNode>
      • KdTreeNodeCollection<TNode>
      • KdTreeNodeList<T>
      • Key
      • Node<T>
      • NodeBase<T>
      • NodeDataContainer<T>
      • NodeDistance<TNode>
      • QuadTree<T>
      • Root<T>
      • TreeDataContainer<T>
    • Mars.Common.Collections.CritBit
      • ICritBitTree<TValue>
    • Mars.Common.Collections.Graph
      • EdgeData
      • GraphData
      • GraphSerializer
      • ISpatialGraph
      • KeyContainer
      • NodeData
      • SpatialGraph
      • SpatialGraphHelper
    • Mars.Common.Collections.Graph.Algorithms
      • AStar
      • CompressedPathDatabase
      • ContractionSearch
      • DepthLimitedTraversal
    • Mars.Common.Collections.Graph.Helper
      • INodeFinder
      • KdTreeNodeFinder
      • RunLengthEncoder
    • Mars.Common.Collections.KNNGraph
      • DefaultRandomGenerator
      • DistanceUtils
      • EventSources
      • EventSources.GraphBuildEventSource
      • EventSources.GraphSearchEventSource
      • IProgressReporter
      • IProvideRandomValues
      • KnnGraph<TItem, TDistance>
      • KnnGraph<TItem, TDistance>.KnnSearchResult
      • KnnGraph<TItem, TDistance>.Parameters
      • Node
      • ReverseComparer<T>
      • ReverseComparerExtensions
      • SelectionKind
      • TravelingCosts<TItem, TDistance>
    • Mars.Common.Compat
      • FormatDecoderAttribute
      • FormatEncoderAttribute
      • FormatHandlerAttribute
      • IntegerAttribute
      • NegativeIntegerAttribute
      • NonnegativeIntegerAttribute
      • NonpositiveIntegerAttribute
      • PositiveIntegerAttribute
    • Mars.Common.Data
      • DomainDataImporter
    • Mars.Common.Data.Providers
      • AscDataProvider
      • GeoJsonFeatureCollectionConverter
      • GeoJsonFeatureConverter
      • GeometryDataProvider
      • GraphMlProvider
      • HttpDataProvider
      • IDataProvider<TInput>
      • JsonFileDataProvider
      • JsonTextDataProvider
      • XmlFileDataProvider
      • XmlTextDataProvider
    • Mars.Common.Exceptions
      • DimensionMismatchException
      • ParseException
    • Mars.Common.IO
      • ExtensionMethods
      • FileClientUtils
      • FileKeys
      • HttpClientUtils
      • ObjectSerialize
      • Serializer
      • SerializerCompression
      • SparseFormat
      • SparseReader
      • SparseWriter
    • Mars.Common.IO.Attributes
      • SerializationBinderAttribute
      • SurrogateSelectorAttribute
    • Mars.Common.IO.Console
      • ChildProgressBar
      • IProgressBar
      • ProgressBar
      • ProgressBarBase
      • ProgressBarHeight
      • ProgressBarOptions
      • ProgressBarSimple
    • Mars.Common.IO.Csv
      • CsvAnalyzer
      • CsvReader
      • CsvReader.RecordEnumerator
      • CsvWriter
      • MissingFieldAction
      • ParseErrorAction
      • ValueTrimmingOptions
    • Mars.Common.IO.Events
      • ParseErrorEventArgs
    • Mars.Common.IO.Exceptions
      • MalformedCsvException
      • MissingFieldCsvException
    • Mars.Common.IO.Mapped
      • Context
      • DefaultArrayFactory
      • Extensions
      • IArrayFactory
      • ISerializableToStream
      • MappedAccessor<T>
      • MemoryMap
      • MemoryMap.CreateAccessorFunc<T>
      • MemoryMap.ReadFromDelegate<T>
      • MemoryMap.WriteToDelegate<T>
      • MemoryMapDelegates
      • MemoryMapDelegates.CreateAccessorFunc<T>
      • MemoryMapStream
    • Mars.Common.IO.Mapped.Accessors
      • MappedAccessorByte
      • MappedAccessorDouble
      • MappedAccessorInt16
      • MappedAccessorInt32
      • MappedAccessorInt64
      • MappedAccessorSingle
      • MappedAccessorUInt16
      • MappedAccessorUInt32
      • MappedAccessorUInt64
      • MappedAccessorVariable<T>
    • Mars.Common.IO.Mapped.Arrays
      • Array<T>
      • ArrayBase<T>
      • ArrayProfile
      • MappedArray<TMapped, T>
      • MappedArray<TMapped, T>.MapFrom
      • MappedArray<TMapped, T>.MapTo
      • MemoryArray<T>
      • VariableArray<T>
    • Mars.Common.IO.Mapped.Collections
      • MemoryBackedDictionary<TKey, TValue>
      • MemoryBackedList<T>
    • Mars.Common.IO.Mapped.Indexes
      • Index<T>
    • Mars.Common.IO.Mapped.Streams
      • CappedStream
    • Mars.Common.Socket
      • ByteOrder
      • CloseEventArgs
      • CloseStatusCode
      • CompressionMethod
      • ErrorEventArgs
      • Ext
      • MessageEventArgs
      • WebSocket
      • WebSocketException
      • WebSocketState
    • Mars.Common.Socket.Server
      • IWebSocketSession
      • WebHeaderCollection
      • WebSocketBehavior
      • WebSocketContext
      • WebSocketServer
      • WebSocketServiceHost
      • WebSocketServiceManager
      • WebSocketSessionManager
    • Mars.Numerics
      • Classes
      • Combinatorics
      • Constants
      • Distance
      • Elementwise
      • Jagged
      • MathematicsException
      • MathHelper
      • Matrix
      • MatrixOrder
      • MatrixType
      • Norm
      • Sort
      • Sorting
      • Sparse
      • Sparse<T>
      • Tools
      • Vector
      • VectorHelper
      • VectorType
    • Mars.Numerics.Comparers
      • ArrayComparer<T>
      • ComparerDirection
      • CustomComparer<T>
      • ElementComparer
      • ElementComparer<T>
      • GeneralComparer
      • StableComparer<T>
    • Mars.Numerics.Distances
      • Angular
      • Chebyshev
      • Cosine
      • Dirac<T>
      • Euclidean
      • Hamming
      • Hamming<T>
      • Haversine
      • Jaccard
      • Jaccard<T>
      • Kulczynski
      • Levenshtein
      • Levenshtein<T>
      • Manhattan
      • Matching
      • Minkowski
      • SquareEuclidean
      • Vincenty
      • Vincenty.Ellipsoid
    • Mars.Numerics.Distances.Base
      • IDistance<T>
      • IDistance<TFirst, TSecond>
      • IMetric<T>
      • ISimilarity<T, TU>
      • ISimilarity<T>
    • Mars.Numerics.Exceptions
      • DimensionMismatchException
      • NonPositiveDefiniteMatrixException
      • SingularMatrixException
    • Mars.Numerics.Formats
      • DefaultMatrixFormatProvider
      • IMatrixFormatProvider
      • MatrixFormatProviderBase
      • MatrixFormatter
      • OctaveMatrixFormatProvider
    • Mars.Numerics.Ranges
      • ByteRange
      • DoubleRange
      • FloatRange
      • IntRange
      • IRange<T>
    • Mars.Numerics.Statistics
      • ConstValueDistribution<T>
      • Distribution<T>
      • FastGaussianDistributionD
      • FastGaussianDistributionF
      • IDistribution
      • UniformDiscreteDistribution
      • UniformDistributionD
      • UniformDistributionF
    • Mars.Numerics.Statistics.Base
      • BinarySearch
      • DistributionBase
      • ISampleableDistribution<TObservations>
      • IUnivariateDistribution
      • IUnivariateDistribution<TObservation>
      • UnivariateDiscreteDistribution

    Class Jaccard<T>

    Jaccard (Index) distance.
    Inheritance
    System.Object
    Jaccard<T>
    Implements
    ISimilarity<T[]>
    ISimilarity<T[], T[]>
    IMetric<T[]>
    IDistance<T[]>
    IDistance<T[], T[]>
    ICloneable
    Namespace: Mars.Numerics.Distances
    Assembly: Mars.Numerics.dll
    Syntax
    public class Jaccard<T> : object, ISimilarity<T[]>, ISimilarity<T[], T[]>, IMetric<T[]>, IDistance<T[]>, IDistance<T[], T[]>, ICloneable where T : IEquatable<T>
    Type Parameters
    Name Description
    T The type of the elements in the arrays to be compared.
    Remarks

    The Jaccard index, also known as the Jaccard similarity coefficient (originally coined coefficient de communauté by Paul Jaccard), is a statistic used for comparing the similarity and diversity of sample sets. The Jaccard coefficient measures similarity between finite sample sets, and is defined as the size of the intersection divided by the size of the union of the sample sets.

    References:

    • https://en.wikipedia.org/wiki/Jaccard_index

    Methods

    Clone()

    Creates a new object that is a copy of the current instance.
    Declaration
    public object Clone()
    Returns
    Type Description
    System.Object A new object that is a copy of this instance.

    Distance(T[], T[])

    Computes the distance d(x,y) between points x and y.
    Declaration
    public double Distance(T[] x, T[] y)
    Parameters
    Type Name Description
    T[] x The first point x.
    T[] y The second point y.
    Returns
    Type Description
    System.Double A double-precision value representing the distance d(x,y) between x and y according to the distance function implemented by this class.

    Similarity(T[], T[])

    Gets a similarity measure between two points.
    Declaration
    public double Similarity(T[] x, T[] y)
    Parameters
    Type Name Description
    T[] x The first point to be compared.
    T[] y The second point to be compared.
    Returns
    Type Description
    System.Double A similarity measure between x and y.

    Implements

    ISimilarity<T>
    ISimilarity<T, TU>
    IMetric<T>
    IDistance<T>
    IDistance<TFirst, TSecond>
    ICloneable

    Extension Methods

    DomainDataImporter.Import(Object, InputConfiguration)
    ObjectSerialize.Serialize(Object)
    Serializer.Save<T>(T, Stream, SerializerCompression)
    Serializer.Save<T>(T, BinaryFormatter, Stream, SerializerCompression)
    Serializer.Save<T>(T, String)
    Serializer.Save<T>(T, String, SerializerCompression)
    Serializer.Save<T>(T, out Byte[], SerializerCompression)
    Matrix.Replace<T>(T, Object, Object)
    Matrix.IsEqual(Object, Object, Decimal, Decimal)
    Matrix.Concatenate<T>(T, T[])
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