mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType > Class Template Reference

A cover tree is a tree specifically designed to speed up nearest-neighbor computation in high-dimensional spaces. More...

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List of all members.

Classes

class  DualTreeTraverser
class  SingleTreeTraverser

Public Types

typedef arma::mat Mat

Public Member Functions

 CoverTree (const CoverTree &other)
 Create a cover tree from another tree.
 CoverTree (const arma::mat &dataset, const double base, const size_t pointIndex, const int scale, CoverTree *parent, const double parentDistance, const double furthestDescendantDistance, MetricType *metric=NULL)
 Manually construct a cover tree node; no tree assembly is done in this constructor, and children must be added manually (use Children()).
 CoverTree (const arma::mat &dataset, const double base, const size_t pointIndex, const int scale, CoverTree *parent, const double parentDistance, arma::Col< size_t > &indices, arma::vec &distances, size_t nearSetSize, size_t &farSetSize, size_t &usedSetSize, MetricType &metric=NULL)
 Construct a child cover tree node.
 CoverTree (const arma::mat &dataset, MetricType &metric, const double base=2.0)
 Create the cover tree with the given dataset and the given instantiated metric.
 CoverTree (const arma::mat &dataset, const double base=2.0, MetricType *metric=NULL)
 Create the cover tree with the given dataset and given base.
 ~CoverTree ()
 Delete this cover tree node and its children.
double & Base ()
 Modify the base; don't do this, you'll break everything.
double Base () const
 Get the base.
void Centroid (arma::vec &centroid) const
 Get the centroid of the node and store it in the given vector.
CoverTreeChild (const size_t index)
 Modify a particular child node.
const CoverTreeChild (const size_t index) const
 Get a particular child node.
std::vector< CoverTree * > & Children ()
 Modify the children manually (maybe not a great idea).
const std::vector< CoverTree * > & Children () const
 Get the children.
const arma::mat & Dataset () const
 Get a reference to the dataset.
size_t Descendant (const size_t index) const
 Get the index of a particular descendant point.
size_t & DistanceComps ()
size_t DistanceComps () const
double & FurthestDescendantDistance ()
 Modify the distance from the center of the node to the furthest descendant.
double FurthestDescendantDistance () const
 Get the distance from the center of the node to the furthest descendant.
double FurthestPointDistance () const
 Get the distance to the furthest point. This is always 0 for cover trees.
bool IsLeaf () const
double MaxDistance (const arma::vec &other, const double distance) const
 Return the maximum distance to another point given that the distance from the center to the point has already been calculated.
double MaxDistance (const arma::vec &other) const
 Return the maximum distance to another point.
double MaxDistance (const CoverTree *other, const double distance) const
 Return the maximum distance to another node given that the point-to-point distance has already been calculated.
double MaxDistance (const CoverTree *other) const
 Return the maximum distance to another node.
MetricType & Metric () const
 Get the instantiated metric.
double MinDistance (const arma::vec &other, const double distance) const
 Return the minimum distance to another point given that the distance from the center to the point has already been calculated.
double MinDistance (const arma::vec &other) const
 Return the minimum distance to another point.
double MinDistance (const CoverTree *other, const double distance) const
 Return the minimum distance to another node given that the point-to-point distance has already been calculated.
double MinDistance (const CoverTree *other) const
 Return the minimum distance to another node.
size_t NumChildren () const
 Get the number of children.
size_t NumDescendants () const
 Get the number of descendant points.
size_t NumPoints () const
CoverTree *& Parent ()
 Modify the parent node.
CoverTreeParent () const
 Get the parent node.
double & ParentDistance ()
 Modify the distance to the parent.
double ParentDistance () const
 Get the distance to the parent.
size_t Point (const size_t) const
 For compatibility with other trees; the argument is ignored.
size_t Point () const
 Get the index of the point which this node represents.
math::Range RangeDistance (const arma::vec &other, const double distance) const
 Return the minimum and maximum distance to another point given that the point-to-point distance has already been calculated.
math::Range RangeDistance (const arma::vec &other) const
 Return the minimum and maximum distance to another point.
math::Range RangeDistance (const CoverTree *other, const double distance) const
 Return the minimum and maximum distance to another node given that the point-to-point distance has already been calculated.
math::Range RangeDistance (const CoverTree *other) const
 Return the minimum and maximum distance to another node.
int & Scale ()
 Modify the scale of this node. Be careful...
int Scale () const
 Get the scale of this node.
StatisticType & Stat ()
 Modify the statistic for this node.
const StatisticType & Stat () const
 Get the statistic for this node.
std::string ToString () const
 Returns a string representation of this object.

Static Public Member Functions

static bool HasSelfChildren ()
 Returns true: this tree does have self-children.

Private Member Functions

void ComputeDistances (const size_t pointIndex, const arma::Col< size_t > &indices, arma::vec &distances, const size_t pointSetSize)
 Fill the vector of distances with the distances between the point specified by pointIndex and each point in the indices array.
void CreateChildren (arma::Col< size_t > &indices, arma::vec &distances, size_t nearSetSize, size_t &farSetSize, size_t &usedSetSize)
 Create the children for this node.
void MoveToUsedSet (arma::Col< size_t > &indices, arma::vec &distances, size_t &nearSetSize, size_t &farSetSize, size_t &usedSetSize, arma::Col< size_t > &childIndices, const size_t childFarSetSize, const size_t childUsedSetSize)
size_t PruneFarSet (arma::Col< size_t > &indices, arma::vec &distances, const double bound, const size_t nearSetSize, const size_t pointSetSize)
void RemoveNewImplicitNodes ()
 Take a look at the last child (the most recently created one) and remove any implicit nodes that have been created.
size_t SortPointSet (arma::Col< size_t > &indices, arma::vec &distances, const size_t childFarSetSize, const size_t childUsedSetSize, const size_t farSetSize)
 Assuming that the list of indices and distances is sorted as [ childFarSet | childUsedSet | farSet | usedSet ], resort the sets so the organization is [ childFarSet | farSet | childUsedSet | usedSet ].
size_t SplitNearFar (arma::Col< size_t > &indices, arma::vec &distances, const double bound, const size_t pointSetSize)
 Split the given indices and distances into a near and a far set, returning the number of points in the near set.

Private Attributes

double base
 The base used to construct the tree.
std::vector< CoverTree * > children
 The list of children; the first is the self-child.
const arma::mat & dataset
 Reference to the matrix which this tree is built on.
size_t distanceComps
double furthestDescendantDistance
 Distance to the furthest descendant.
bool localMetric
 Whether or not we need to destroy the metric in the destructor.
MetricType * metric
 The metric used for this tree.
size_t numDescendants
 The number of descendant points.
CoverTreeparent
 The parent node (NULL if this is the root of the tree).
double parentDistance
 Distance to the parent.
size_t point
 Index of the point in the matrix which this node represents.
int scale
 Scale level of the node.
StatisticType stat
 The instantiated statistic.

Detailed Description

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
class mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >

A cover tree is a tree specifically designed to speed up nearest-neighbor computation in high-dimensional spaces.

Each non-leaf node references a point and has a nonzero number of children, including a "self-child" which references the same point. A leaf node represents only one point.

The tree can be thought of as a hierarchy with the root node at the top level and the leaf nodes at the bottom level. Each level in the tree has an assigned 'scale' i. The tree follows these three conditions:

The value 'b' refers to the base, which is a parameter of the tree. These three properties make the cover tree very good for fast, high-dimensional nearest-neighbor search.

The theoretical structure of the tree contains many 'implicit' nodes which only have a "self-child" (a child referencing the same point, but at a lower scale level). This practical implementation only constructs explicit nodes -- non-leaf nodes with more than one child. A leaf node has no children, and its scale level is INT_MIN.

For more information on cover trees, see

 @inproceedings{
   author = {Beygelzimer, Alina and Kakade, Sham and Langford, John},
   title = {Cover trees for nearest neighbor},
   booktitle = {Proceedings of the 23rd International Conference on Machine
     Learning},
   series = {ICML '06},
   year = {2006},
   pages = {97--104]
 }

For information on runtime bounds of the nearest-neighbor computation using cover trees, see the following paper, presented at NIPS 2009:

 @inproceedings{
   author = {Ram, P., and Lee, D., and March, W.B., and Gray, A.G.},
   title = {Linear-time Algorithms for Pairwise Statistical Problems},
   booktitle = {Advances in Neural Information Processing Systems 22},
   editor = {Y. Bengio and D. Schuurmans and J. Lafferty and C.K.I. Williams
     and A. Culotta},
   pages = {1527--1535},
   year = {2009}
 }

The CoverTree class offers three template parameters; a custom metric type can be used with MetricType (this class defaults to the L2-squared metric). The root node's point can be chosen with the RootPointPolicy; by default, the FirstPointIsRoot policy is used, meaning the first point in the dataset is used. The StatisticType policy allows you to define statistics which can be gathered during the creation of the tree.

Template Parameters:
MetricType Metric type to use during tree construction.
RootPointPolicy Determines which point to use as the root node.
StatisticType Statistic to be used during tree creation.

Definition at line 103 of file cover_tree.hpp.


Member Typedef Documentation

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
typedef arma::mat mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Mat

Definition at line 106 of file cover_tree.hpp.


Constructor & Destructor Documentation

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::CoverTree ( const arma::mat &  dataset,
const double  base = 2.0,
MetricType *  metric = NULL 
)

Create the cover tree with the given dataset and given base.

The dataset will not be modified during the building procedure (unlike BinarySpaceTree).

The last argument will be removed in mlpack 1.1.0 (see #274 and #273).

Parameters:
dataset Reference to the dataset to build a tree on.
base Base to use during tree building (default 2.0).
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::CoverTree ( const arma::mat &  dataset,
MetricType &  metric,
const double  base = 2.0 
)

Create the cover tree with the given dataset and the given instantiated metric.

Optionally, set the base. The dataset will not be modified during the building procedure (unlike BinarySpaceTree).

Parameters:
dataset Reference to the dataset to build a tree on.
metric Instantiated metric to use during tree building.
base Base to use during tree building (default 2.0).
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::CoverTree ( const arma::mat &  dataset,
const double  base,
const size_t  pointIndex,
const int  scale,
CoverTree< MetricType, RootPointPolicy, StatisticType > *  parent,
const double  parentDistance,
arma::Col< size_t > &  indices,
arma::vec &  distances,
size_t  nearSetSize,
size_t &  farSetSize,
size_t &  usedSetSize,
MetricType &  metric = NULL 
)

Construct a child cover tree node.

This constructor is not meant to be used externally, but it could be used to insert another node into a tree. This procedure uses only one vector for the near set, the far set, and the used set (this is to prevent unnecessary memory allocation in recursive calls to this constructor). Therefore, the size of the near set, far set, and used set must be passed in. The near set will be entirely used up, and some of the far set may be used. The value of usedSetSize will be set to the number of points used in the construction of this node, and the value of farSetSize will be modified to reflect the number of points in the far set _after_ the construction of this node.

If you are calling this manually, be careful that the given scale is as small as possible, or you may be creating an implicit node in your tree.

Parameters:
dataset Reference to the dataset to build a tree on.
base Base to use during tree building.
pointIndex Index of the point this node references.
scale Scale of this level in the tree.
parent Parent of this node (NULL indicates no parent).
parentDistance Distance to the parent node.
indices Array of indices, ordered [ nearSet | farSet | usedSet ]; will be modified to [ farSet | usedSet ].
distances Array of distances, ordered the same way as the indices. These represent the distances between the point specified by pointIndex and each point in the indices array.
nearSetSize Size of the near set; if 0, this will be a leaf.
farSetSize Size of the far set; may be modified (if this node uses any points in the far set).
usedSetSize The number of points used will be added to this number.
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::CoverTree ( const arma::mat &  dataset,
const double  base,
const size_t  pointIndex,
const int  scale,
CoverTree< MetricType, RootPointPolicy, StatisticType > *  parent,
const double  parentDistance,
const double  furthestDescendantDistance,
MetricType *  metric = NULL 
)

Manually construct a cover tree node; no tree assembly is done in this constructor, and children must be added manually (use Children()).

This constructor is useful when the tree is being "imported" into the CoverTree class after being created in some other manner.

Parameters:
dataset Reference to the dataset this node is a part of.
base Base that was used for tree building.
pointIndex Index of the point in the dataset which this node refers to.
scale Scale of this node's level in the tree.
parent Parent node (NULL indicates no parent).
parentDistance Distance to parent node point.
furthestDescendantDistance Distance to furthest descendant point.
metric Instantiated metric (optional).
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::CoverTree ( const CoverTree< MetricType, RootPointPolicy, StatisticType > &  other  ) 

Create a cover tree from another tree.

Be careful! This may use a lot of memory and take a lot of time.

Parameters:
other Cover tree to copy from.
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::~CoverTree (  ) 

Delete this cover tree node and its children.


Member Function Documentation

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Base (  )  [inline]

Modify the base; don't do this, you'll break everything.

Definition at line 264 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::base.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Base (  )  const [inline]
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
void mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Centroid ( arma::vec &  centroid  )  const [inline]
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
CoverTree& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Child ( const size_t  index  )  [inline]

Modify a particular child node.

Definition at line 240 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::children.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
const CoverTree& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Child ( const size_t  index  )  const [inline]

Get a particular child node.

Definition at line 238 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::children.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
std::vector<CoverTree*>& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Children (  )  [inline]

Modify the children manually (maybe not a great idea).

Definition at line 248 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::children.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
const std::vector<CoverTree*>& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Children (  )  const [inline]
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
void mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::ComputeDistances ( const size_t  pointIndex,
const arma::Col< size_t > &  indices,
arma::vec &  distances,
const size_t  pointSetSize 
) [private]

Fill the vector of distances with the distances between the point specified by pointIndex and each point in the indices array.

The distances of the first pointSetSize points in indices are calculated (so, this does not necessarily need to use all of the points in the arrays).

Parameters:
pointIndex Point to build the distances for.
indices List of indices to compute distances for.
distances Vector to store calculated distances in.
pointSetSize Number of points in arrays to calculate distances for.
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
void mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::CreateChildren ( arma::Col< size_t > &  indices,
arma::vec &  distances,
size_t  nearSetSize,
size_t &  farSetSize,
size_t &  usedSetSize 
) [private]

Create the children for this node.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
const arma::mat& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Dataset (  )  const [inline]

Get a reference to the dataset.

Definition at line 227 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::dataset.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
size_t mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Descendant ( const size_t  index  )  const

Get the index of a particular descendant point.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
size_t& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::DistanceComps (  )  [inline]
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
size_t mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::DistanceComps (  )  const [inline]
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::FurthestDescendantDistance (  )  [inline]

Modify the distance from the center of the node to the furthest descendant.

Definition at line 336 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::furthestDescendantDistance.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::FurthestDescendantDistance (  )  const [inline]

Get the distance from the center of the node to the furthest descendant.

Definition at line 332 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::furthestDescendantDistance.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::FurthestPointDistance (  )  const [inline]

Get the distance to the furthest point. This is always 0 for cover trees.

Definition at line 329 of file cover_tree.hpp.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
static bool mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::HasSelfChildren (  )  [inline, static]

Returns true: this tree does have self-children.

Definition at line 316 of file cover_tree.hpp.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
bool mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::IsLeaf (  )  const [inline]
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::MaxDistance ( const arma::vec &  other,
const double  distance 
) const

Return the maximum distance to another point given that the distance from the center to the point has already been calculated.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::MaxDistance ( const arma::vec &  other  )  const

Return the maximum distance to another point.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::MaxDistance ( const CoverTree< MetricType, RootPointPolicy, StatisticType > *  other,
const double  distance 
) const

Return the maximum distance to another node given that the point-to-point distance has already been calculated.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::MaxDistance ( const CoverTree< MetricType, RootPointPolicy, StatisticType > *  other  )  const

Return the maximum distance to another node.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
MetricType& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Metric (  )  const [inline]

Get the instantiated metric.

Definition at line 342 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::metric.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::MinDistance ( const arma::vec &  other,
const double  distance 
) const

Return the minimum distance to another point given that the distance from the center to the point has already been calculated.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::MinDistance ( const arma::vec &  other  )  const

Return the minimum distance to another point.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::MinDistance ( const CoverTree< MetricType, RootPointPolicy, StatisticType > *  other,
const double  distance 
) const

Return the minimum distance to another node given that the point-to-point distance has already been calculated.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::MinDistance ( const CoverTree< MetricType, RootPointPolicy, StatisticType > *  other  )  const

Return the minimum distance to another node.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
void mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::MoveToUsedSet ( arma::Col< size_t > &  indices,
arma::vec &  distances,
size_t &  nearSetSize,
size_t &  farSetSize,
size_t &  usedSetSize,
arma::Col< size_t > &  childIndices,
const size_t  childFarSetSize,
const size_t  childUsedSetSize 
) [private]
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
size_t mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::NumChildren (  )  const [inline]

Get the number of children.

Definition at line 243 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::children.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
size_t mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::NumDescendants (  )  const

Get the number of descendant points.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
size_t mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::NumPoints (  )  const [inline]

Definition at line 235 of file cover_tree.hpp.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
CoverTree*& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Parent (  )  [inline]

Modify the parent node.

Definition at line 321 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::parent.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
CoverTree* mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Parent (  )  const [inline]

Get the parent node.

Definition at line 319 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::parent.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::ParentDistance (  )  [inline]

Modify the distance to the parent.

Definition at line 326 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::parentDistance.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::ParentDistance (  )  const [inline]

Get the distance to the parent.

Definition at line 324 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::parentDistance.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
size_t mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Point ( const   size_t  )  const [inline]

For compatibility with other trees; the argument is ignored.

Definition at line 232 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::point.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
size_t mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Point (  )  const [inline]

Get the index of the point which this node represents.

Definition at line 230 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::point.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
size_t mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::PruneFarSet ( arma::Col< size_t > &  indices,
arma::vec &  distances,
const double  bound,
const size_t  nearSetSize,
const size_t  pointSetSize 
) [private]
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
math::Range mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::RangeDistance ( const arma::vec &  other,
const double  distance 
) const

Return the minimum and maximum distance to another point given that the point-to-point distance has already been calculated.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
math::Range mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::RangeDistance ( const arma::vec &  other  )  const

Return the minimum and maximum distance to another point.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
math::Range mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::RangeDistance ( const CoverTree< MetricType, RootPointPolicy, StatisticType > *  other,
const double  distance 
) const

Return the minimum and maximum distance to another node given that the point-to-point distance has already been calculated.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
math::Range mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::RangeDistance ( const CoverTree< MetricType, RootPointPolicy, StatisticType > *  other  )  const

Return the minimum and maximum distance to another node.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
void mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::RemoveNewImplicitNodes (  )  [private]

Take a look at the last child (the most recently created one) and remove any implicit nodes that have been created.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
int& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Scale (  )  [inline]

Modify the scale of this node. Be careful...

Definition at line 259 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::scale.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
int mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Scale (  )  const [inline]

Get the scale of this node.

Definition at line 257 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::scale.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
size_t mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::SortPointSet ( arma::Col< size_t > &  indices,
arma::vec &  distances,
const size_t  childFarSetSize,
const size_t  childUsedSetSize,
const size_t  farSetSize 
) [private]

Assuming that the list of indices and distances is sorted as [ childFarSet | childUsedSet | farSet | usedSet ], resort the sets so the organization is [ childFarSet | farSet | childUsedSet | usedSet ].

The size_t parameters specify the sizes of each set in the array. Only the ordering of the indices and distances arrays will be modified (not their actual contents).

The size of any of the four sets can be zero and this method will handle that case accordingly.

Parameters:
indices List of indices to sort.
distances List of distances to sort.
childFarSetSize Number of points in child far set (childFarSet).
childUsedSetSize Number of points in child used set (childUsedSet).
farSetSize Number of points in far set (farSet).
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
size_t mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::SplitNearFar ( arma::Col< size_t > &  indices,
arma::vec &  distances,
const double  bound,
const size_t  pointSetSize 
) [private]

Split the given indices and distances into a near and a far set, returning the number of points in the near set.

The distances must already be initialized. This will order the indices and distances such that the points in the near set make up the first part of the array and the far set makes up the rest: [ nearSet | farSet ].

Parameters:
indices List of indices; will be reordered.
distances List of distances; will be reordered.
bound If the distance is less than or equal to this bound, the point is placed into the near set.
pointSetSize Size of point set (because we may be sorting a smaller list than the indices vector will hold).
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
StatisticType& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Stat (  )  [inline]

Modify the statistic for this node.

Definition at line 269 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::stat.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
const StatisticType& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Stat (  )  const [inline]

Get the statistic for this node.

Definition at line 267 of file cover_tree.hpp.

References mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::stat.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
std::string mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::ToString (  )  const

Returns a string representation of this object.


Member Data Documentation

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::base [private]

The base used to construct the tree.

Definition at line 358 of file cover_tree.hpp.

Referenced by mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Base().

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
std::vector<CoverTree*> mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::children [private]
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
const arma::mat& mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::dataset [private]
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
size_t mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::distanceComps [private]
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::furthestDescendantDistance [private]

Distance to the furthest descendant.

Definition at line 373 of file cover_tree.hpp.

Referenced by mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::FurthestDescendantDistance().

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
bool mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::localMetric [private]

Whether or not we need to destroy the metric in the destructor.

Definition at line 376 of file cover_tree.hpp.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
MetricType* mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::metric [private]
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
size_t mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::numDescendants [private]

The number of descendant points.

Definition at line 364 of file cover_tree.hpp.

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
CoverTree* mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::parent [private]

The parent node (NULL if this is the root of the tree).

Definition at line 367 of file cover_tree.hpp.

Referenced by mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Parent().

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
double mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::parentDistance [private]

Distance to the parent.

Definition at line 370 of file cover_tree.hpp.

Referenced by mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::ParentDistance().

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
size_t mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::point [private]
template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
int mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::scale [private]

Scale level of the node.

Definition at line 355 of file cover_tree.hpp.

Referenced by mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Scale().

template<typename MetricType = metric::LMetric<2, true>, typename RootPointPolicy = FirstPointIsRoot, typename StatisticType = EmptyStatistic>
StatisticType mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::stat [private]

The instantiated statistic.

Definition at line 361 of file cover_tree.hpp.

Referenced by mlpack::tree::CoverTree< MetricType, RootPointPolicy, StatisticType >::Stat().


The documentation for this class was generated from the following file:

Generated on 29 Sep 2016 for MLPACK by  doxygen 1.6.1