Contents

Batch Processing

Algorithm Input

The K-Means clustering algorithm accepts the input described below. Pass the Input ID as a parameter to the methods that provide input for your algorithm.

Algorithm Input for K-Means Computation (Batch Processing)

Input ID

Input

data

Pointer to the \(n \times p\) numeric table with the data to be clustered.

inputCentroids

Pointer to the \(nClusters \times p\) numeric table with the initial centroids.

Note

The input for data and inputCentroids can be an object of any class derived from NumericTable.

Algorithm Parameters

The K-Means clustering algorithm has the following parameters:

Algorithm Parameters for K-Means Computation (Batch Processing)

Parameter

Default Value

Description

algorithmFPType

float

The floating-point type that the algorithm uses for intermediate computations. Can be float or double.

method

defaultDense

Available computation methods for K-Means clustering:

For CPU:

  • defaultDense - implementation of Lloyd’s algorithm

  • lloydCSR - implementation of Lloyd’s algorithm for CSR numeric tables

For GPU:

  • defaultDense - implementation of Lloyd’s algorithm

nClusters

Not applicable

The number of clusters. Required to initialize the algorithm.

maxIterations

Not applicable

The number of iterations. Required to initialize the algorithm.

accuracyThreshold

\(0.0\)

The threshold for termination of the algorithm.

gamma

\(1.0\)

The weight to be used in distance calculation for binary categorical features.

distanceType

euclidean

The measure of closeness between points (observations) being clustered. The only distance type supported so far is the Euclidean distance.

DEPRECATED: assignFlag

USE INSTEAD: resultsToEvaluate

true

A flag that enables computation of assignments, that is, assigning cluster indices to respective observations.

resultsToEvaluate

computeCentroids | computeAssignments | computeExactObjectiveFunction

The 64-bit integer flag that specifies which extra characteristics of the K-Means algorithm to compute.

Provide one of the following values to request a single characteristic or use bitwise OR to request a combination of the characteristics:

  • computeCentroids for computation centroids.

  • computeAssignments for computation of assignments, that is, assigning cluster indices to respective observations.

  • computeExactObjectiveFunction for computation of exact ObjectiveFunction.

Algorithm Output

The K-Means clustering algorithm calculates the result described below. Pass the Result ID as a parameter to the methods that access the results of your algorithm.

Algorithm Output for K-Means Computation (Batch Processing)

Result ID

Result

centroids

Pointer to the \(nClusters \times p\) numeric table with the cluster centroids, computed when computeCentroids option is enabled.

Note

By default, this result is an object of the HomogenNumericTable class, but you can define the result as an object of any class derived from NumericTable except for PackedTriangularMatrix, PackedSymmetricMatrix, and CSRNumericTable.

assignments

Pointer to the \(n \times 1\) numeric table with assignments of cluster indices to feature vectors in the input data, computed when computeAssignments option is enabled.

Note

By default, this result is an object of the HomogenNumericTable class, but you can define the result as an object of any class derived from NumericTable except for PackedTriangularMatrix, PackedSymmetricMatrix, and CSRNumericTable.

objectiveFunction

Pointer to the \(1 \times 1\) numeric table with the minimum value of the objective function obtained at the last iteration of the algorithm, might be inexact. When computeExactObjectiveFunction option is enabled, exact objective function is computed.

Note

By default, this result is an object of the HomogenNumericTable class, but you can define the result as an object of any class derived from NumericTable except for PackedTriangularMatrix, PackedSymmetricMatrix, and CSRNumericTable.

nIterations

Pointer to the \(1 \times 1\) numeric table with the actual number of iterations done by the algorithm.

Note

By default, this result is an object of the HomogenNumericTable class, but you can define the result as an object of any class derived from NumericTable except for PackedTriangularMatrix, PackedSymmetricMatrix, and CSRNumericTable.

Note

You can skip update of centroids and objectiveFunction in the result and compute assignments using original inputCentroids. To do this, set resultsToEvaluate flag only to computeAssignments and maxIterations to zero.

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