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Data Structures | Enumerations
kmeans.h File Reference

K-means (K-means clustering) More...

`#include "generic.h"`
`#include "random.h"`
`#include "mathop.h"`
`#include "kdtree.h"`

## Data Structures

struct | VlKMeans
| K-means quantizer. More...

## Enumerations

enum | VlKMeansAlgorithm { VlKMeansLloyd, VlKMeansElkan, VlKMeansANN }
| K-means algorithms. More...
enum | VlKMeansInitialization { VlKMeansRandomSelection, VlKMeansPlusPlus }
| K-means initialization algorithms. More...

## Functions

Create and destroy
VlKMeans * | vl_kmeans_new (vl_type dataType, VlVectorComparisonType distance)
| Create a new KMeans object. More...
VlKMeans * | vl_kmeans_new_copy (VlKMeans const *kmeans)
| Create a new KMeans object by copy. More...
void | vl_kmeans_delete (VlKMeans *self)
| Deletes a KMeans object. More...
Basic data processing
void | vl_kmeans_reset (VlKMeans *self)
| Reset state. More...
double | vl_kmeans_cluster (VlKMeans *self, void const *data, vl_size dimension, vl_size numData, vl_size numCenters)
| Cluster data. More...
void | vl_kmeans_quantize (VlKMeans *self, vl_uint32 *assignments, void *distances, void const *data, vl_size numData)
| Quantize data. More...
void | vl_kmeans_quantize_ANN (VlKMeans *self, vl_uint32 *assignments, void *distances, void const *data, vl_size numData, vl_size iteration)
Advanced data processing
void | vl_kmeans_set_centers (VlKMeans *self, void const *centers, vl_size dimension, vl_size numCenters)
| Set centers. More...
void | vl_kmeans_init_centers_with_rand_data (VlKMeans *self, void const *data, vl_size dimensions, vl_size numData, vl_size numCenters)
| init centers by randomly sampling data More...
void | vl_kmeans_init_centers_plus_plus (VlKMeans *self, void const *data, vl_size dimensions, vl_size numData, vl_size numCenters)
| Seed centers by the KMeans++ algorithm. More...
double | vl_kmeans_refine_centers (VlKMeans *self, void const *data, vl_size numData)
| Refine center locations. More...
Retrieve data and parameters
vl_type | vl_kmeans_get_data_type (VlKMeans const *self)
| Get data type. More...
VlVectorComparisonType | vl_kmeans_get_distance (VlKMeans const *self)
| Get data type. More...
VlKMeansAlgorithm | vl_kmeans_get_algorithm (VlKMeans const *self)
| Get K-means algorithm. More...
VlKMeansInitialization | vl_kmeans_get_initialization (VlKMeans const *self)
| Get K-means initialization algorithm. More...
vl_size | vl_kmeans_get_num_repetitions (VlKMeans const *self)
| Get maximum number of repetitions. More...
vl_size | vl_kmeans_get_dimension (VlKMeans const *self)
| Get data dimension. More...
vl_size | vl_kmeans_get_num_centers (VlKMeans const *self)
| Get the number of centers (K) More...
int | vl_kmeans_get_verbosity (VlKMeans const *self)
| Get verbosity level. More...
vl_size | vl_kmeans_get_max_num_iterations (VlKMeans const *self)
| Get maximum number of iterations. More...
double | vl_kmeans_get_min_energy_variation (VlKMeans const *self)
| Get the minimum relative energy variation for convergence. More...
vl_size | vl_kmeans_get_max_num_comparisons (VlKMeans const *self)
| Get the maximum number of comparisons in the KD-forest ANN algorithm. More...
vl_size | vl_kmeans_get_num_trees (VlKMeans const *self)
double | vl_kmeans_get_energy (VlKMeans const *self)
| Get the number energy of the current fit. More...
void const * | vl_kmeans_get_centers (VlKMeans const *self)
| Get centers. More...
Set parameters
void | vl_kmeans_set_algorithm (VlKMeans *self, VlKMeansAlgorithm algorithm)
| Set K-means algorithm. More...
void | vl_kmeans_set_initialization (VlKMeans *self, VlKMeansInitialization initialization)
| Set K-means initialization algorithm. More...
void | vl_kmeans_set_num_repetitions (VlKMeans *self, vl_size numRepetitions)
| Set maximum number of repetitions. More...
void | vl_kmeans_set_max_num_iterations (VlKMeans *self, vl_size maxNumIterations)
| Set maximum number of iterations. More...
void | vl_kmeans_set_min_energy_variation (VlKMeans *self, double minEnergyVariation)
| Set the maximum relative energy variation for convergence. More...
void | vl_kmeans_set_verbosity (VlKMeans *self, int verbosity)
| Set verbosity level. More...
void | vl_kmeans_set_max_num_comparisons (VlKMeans *self, vl_size maxNumComparisons)
| Set maximum number of comparisons in ANN-KD-Tree. More...
void | vl_kmeans_set_num_trees (VlKMeans *self, vl_size numTrees)
| Set the number of trees in the KD-forest ANN algorithm. More...

## Detailed Description

Author
  Andrea Vedaldi
  David Novotny

## Enumeration Type Documentation

enum VlKMeansAlgorithm

Enumerator
VlKMeansLloyd | Lloyd algorithm
VlKMeansElkan | Elkan algorithm
VlKMeansANN | Approximate nearest neighbors

enum VlKMeansInitialization

Enumerator
VlKMeansRandomSelection | Randomized selection
VlKMeansPlusPlus | Plus plus raondomized selection

## Function Documentation

double vl_kmeans_cluster | ( | VlKMeans * | self,
|  | void const * | data,
|  | vl_size | dimension,
|  | vl_size | numData,
|  | vl_size | numCenters
| ) |  |

Parameters

  self | KMeans object.
  data | data to quantize.
  dimension | data dimension.
  numData | number of data points.
  numCenters | number of clusters.

Returns
  K-means energy at the end of optimization.

The function initializes the centers by using the initialization algorithm set by vl_kmeans_set_initialization and refines them by the quantization algorithm set by vl_kmeans_set_algorithm. The process is repeated one or more times (see vl_kmeans_set_num_repetitions) and the resutl with smaller energy is retained.

void vl_kmeans_delete | ( | VlKMeans * | self | ) |

Parameters

  self | KMeans object instance.

The function deletes the KMeans object instance created by vl_kmeans_new.

VlKMeansAlgorithm vl_kmeans_get_algorithm | ( | VlKMeans const * | self | ) |

inline

Parameters

  self | KMeans object.

Returns
  algorithm.

void const * vl_kmeans_get_centers | ( | VlKMeans const * | self | ) |

inline

Parameters

  self | KMeans object instance.

Returns
  cluster centers.

vl_type vl_kmeans_get_data_type | ( | VlKMeans const * | self | ) |

inline

Parameters

  self | KMeans object instance.

Returns
  data type.

vl_size vl_kmeans_get_dimension | ( | VlKMeans const * | self | ) |

inline

Parameters

  self | KMeans object instance.

Returns
  data dimension.

VlVectorComparisonType vl_kmeans_get_distance | ( | VlKMeans const * | self | ) |

inline

Parameters

  self | KMeans object instance.

Returns
  data type.

double vl_kmeans_get_energy | ( | VlKMeans const * | self | ) |

inline

Parameters

  self | KMeans object instance.

Returns
  energy.

VlKMeansInitialization vl_kmeans_get_initialization | ( | VlKMeans const * | self | ) |

inline

Parameters

  self | KMeans object.

Returns
  algorithm.

vl_size vl_kmeans_get_max_num_comparisons | ( | VlKMeans const * | self | ) |

inline

Parameters

  self | KMeans object instance.

Returns
  maximum number of comparisons.

vl_size vl_kmeans_get_max_num_iterations | ( | VlKMeans const * | self | ) |

inline

Parameters

  self | KMeans object instance.

Returns
  maximum number of iterations.

double vl_kmeans_get_min_energy_variation | ( | VlKMeans const * | self | ) |

inline

Parameters

  self | KMeans object instance.

Returns
  minimum energy variation.

vl_size vl_kmeans_get_num_centers | ( | VlKMeans const * | self | ) |

inline

Parameters

  self | KMeans object instance.

Returns
  number of centers.

vl_size vl_kmeans_get_num_repetitions | ( | VlKMeans const * | self | ) |

inline

Parameters

  self | KMeans object instance.

Returns
  current number of repretitions for quantization.

int vl_kmeans_get_verbosity | ( | VlKMeans const * | self | ) |

inline

Parameters

  self | KMeans object instance.

Returns
  verbosity level.

void vl_kmeans_init_centers_plus_plus | ( | VlKMeans * | self,
|  | void const * | data,
|  | vl_size | dimension,
|  | vl_size | numData,
|  | vl_size | numCenters
| ) |  |

Parameters

  self | KMeans object.
  data | data to sample from.
  dimension | data dimension.
  numData | nmber of data points.
  numCenters | number of centers.

void vl_kmeans_init_centers_with_rand_data | ( | VlKMeans * | self,
|  | void const * | data,
|  | vl_size | dimension,
|  | vl_size | numData,
|  | vl_size | numCenters
| ) |  |

Parameters

  self | KMeans object.
  data | data to sample from.
  dimension | data dimension.
  numData | nmber of data points.
  numCenters | number of centers.

The function inits the KMeans centers by randomly sampling the data data.

VlKMeans* vl_kmeans_new | ( | vl_type | dataType,
|  | VlVectorComparisonType | distance
| ) |  |

Parameters

  dataType | type of data (VL_TYPE_FLOAT or VL_TYPE_DOUBLE)
  distance | distance.

Returns
  new KMeans object instance.

VlKMeans* vl_kmeans_new_copy | ( | VlKMeans const * | kmeans | ) |

Parameters

  kmeans | KMeans object to copy.

Returns
  new copy.

void vl_kmeans_quantize | ( | VlKMeans * | self,
|  | vl_uint32 * | assignments,
|  | void * | distances,
|  | void const * | data,
|  | vl_size | numData
| ) |  |

Parameters

  self | KMeans object.
  assignments | data to closest center assignments (output).
  distances | data to closest center distance (output).
  data | data to quantize.
  numData | number of data points to quantize.

double vl_kmeans_refine_centers | ( | VlKMeans * | self,
|  | void const * | data,
|  | vl_size | numData
| ) |  |

Parameters

  self | KMeans object.
  data | data to quantize.
  numData | number of data points.

Returns
  K-means energy at the end of optimization.

The function calls the underlying K-means quantization algorithm (VlKMeansAlgorithm) to quantize the specified data data. The function assumes that the cluster centers have already been assigned by using one of the seeding functions, or by setting them.

void vl_kmeans_reset | ( | VlKMeans * | self | ) |

The function reset the state of the KMeans object. It deletes any stored centers, releasing the corresponding memory. This cancels the effect of seeding or setting the centers, but does not change the other configuration parameters.

void vl_kmeans_set_algorithm | ( | VlKMeans * | self,
|  | VlKMeansAlgorithm | algorithm
| ) |  |

inline

Parameters

  self | KMeans object.
  algorithm | K-means algorithm.

void vl_kmeans_set_centers | ( | VlKMeans * | self,
|  | void const * | centers,
|  | vl_size | dimension,
|  | vl_size | numCenters
| ) |  |

Parameters

  self | KMeans object.
  centers | centers to copy.
  dimension | data dimension.
  numCenters | number of centers.

void vl_kmeans_set_initialization | ( | VlKMeans * | self,
|  | VlKMeansInitialization | initialization
| ) |  |

inline

Parameters

  self | KMeans object.
  initialization | initialization.

void vl_kmeans_set_max_num_comparisons | ( | VlKMeans * | self,
|  | vl_size | maxNumComparisons
| ) |  |

inline

Parameters

  self | KMeans filter.
  maxNumComparisons | maximum number of comparisons.

void vl_kmeans_set_max_num_iterations | ( | VlKMeans * | self,
|  | vl_size | maxNumIterations
| ) |  |

inline

Parameters

  self | KMeans filter.
  maxNumIterations | maximum number of iterations.

void vl_kmeans_set_min_energy_variation | ( | VlKMeans * | self,
|  | double | minEnergyVariation
| ) |  |

inline

Parameters

  self | KMeans object instance.
  minEnergyVariation | maximum number of repetitions. The variation cannot be negative.

The relative energy variation is calculated after the \(t\)-th update to the parameters as:

\[ \epsilon_t = \frac{E_{t-1} - E_t}{E_0 - E_t} \]

Note that this quantitiy is non-negative since \(E_{t+1} \leq E_t\). Hence, \(\epsilon_t\) is the improvement to the energy made in the last iteration compared to the total improvement so far. The algorithm stops if this value is less or equal than minEnergyVariation.

This test is applied only to the LLoyd and ANN algorithms.

void vl_kmeans_set_num_repetitions | ( | VlKMeans * | self,
|  | vl_size | numRepetitions
| ) |  |

inline

Parameters

  self | KMeans object instance.
  numRepetitions | maximum number of repetitions. The number of repetitions cannot be smaller than 1.

void vl_kmeans_set_num_trees | ( | VlKMeans * | self,
|  | vl_size | numTrees
| ) |  |

inline

Parameters

  self | KMeans object instance.
  numTrees | number of trees to use.

void vl_kmeans_set_verbosity | ( | VlKMeans * | self,
|  | int | verbosity
| ) |  |

inline

Parameters

  self | KMeans object instance.
  verbosity | verbosity level.