[mlpackgit] master: Update tutorial for kmeans. This considers the new API for initialization strategies. (8d77f42)
gitdub at mlpack.org
gitdub at mlpack.org
Tue Apr 12 10:43:52 EDT 2016
Repository : https://github.com/mlpack/mlpack
On branch : master
Link : https://github.com/mlpack/mlpack/compare/eeba6bdc50ad4d785cb6880edbaba78173036ca6...8d77f4231046703d5c0c05ed4795458f98267968
>
commit 8d77f4231046703d5c0c05ed4795458f98267968
Author: Ryan Curtin <ryan at ratml.org>
Date: Tue Apr 12 14:43:16 2016 +0000
Update tutorial for kmeans.
This considers the new API for initialization strategies.
>
8d77f4231046703d5c0c05ed4795458f98267968
doc/tutorials/kmeans/kmeans.txt  52 +++++++++++++++++++++++++++++
1 file changed, 37 insertions(+), 15 deletions()
diff git a/doc/tutorials/kmeans/kmeans.txt b/doc/tutorials/kmeans/kmeans.txt
index 24a102b..1f54f96 100644
 a/doc/tutorials/kmeans/kmeans.txt
+++ b/doc/tutorials/kmeans/kmeans.txt
@@ 438,7 +438,7 @@ arma::Col<size_t> assignments;
arma::sp_mat sparseCentroids;
// We must change the fifth (and last) template parameter.
KMeans<metric::EuclideanDistance, RandomPartition, MaxVarianceNewCluster,
+KMeans<metric::EuclideanDistance, SampleInitialization, MaxVarianceNewCluster,
NaiveKMeans, arma::sp_mat> k;
k.Cluster(sparseDataset, clusters, assignments, sparseCentroids);
@endcode
@@ 452,7 +452,8 @@ template parameters:
 \c MetricType: controls the distance metric used for clustering (by
default, the squared Euclidean distance is used)
 \c InitialPartitionPolicy: the method by which initial clusters are set; by
 default, \ref mlpack::kmeans::RandomPartition "RandomPartition" is used
+ default, \ref mlpack::kmeans::SampleInitialization "SampleInitialization" is
+ used
 \c EmptyClusterPolicy: the action taken when an empty cluster is encountered;
by default, \ref mlpack::kmeans::MaxVarianceNewCluster "MaxVarianceNewCluster"
is used
@@ 466,7 +467,7 @@ The class is defined like below:
@code
template<
typename DistanceMetric = mlpack::metric::SquaredEuclideanDistance,
 typename InitialPartitionPolicy = RandomPartition,
+ typename InitialPartitionPolicy = SampleInitialization,
typename EmptyClusterPolicy = MaxVarianceNewCluster,
template<class, class> class LloydStepType = NaiveKMeans,
typename MatType = arma::mat
@@ 526,15 +527,26 @@ literature. Fortunately, the \c KMeans<> class makes it very easy to implement
one of these methods and plug it in without needing to modify the existing
algorithm code at all.
By default, the \c KMeans<> class uses mlpack::kmeans::RandomPartition, which
randomly partitions points into clusters. However, writing a new policy is
simple; it needs to only implement the following functions:
+By default, the \c KMeans<> class uses mlpack::kmeans::SampleInitialization,
+which randomly samples points as initial centroids. However, writing a new
+policy is simple; it needs to only implement the following functions:
@code
// Empty constructor is required.
InitialPartitionPolicy();
// This function is called to initialize the clusters.
+// Only *one* of the following two functions is required! You should implement
+// whichever you find more convenient to implement.
+
+// This function is called to initialize the clusters and returns centroids.
+template<typename MatType>
+void Cluster(MatType& data,
+ const size_t clusters,
+ arma::mat& centroids);
+
+// This function is called to initialize the clusters and returns individual
+// point assignments. The centroids will then be calculated from the given
+// assignments.
template<typename MatType>
void Cluster(MatType& data,
const size_t clusters,
@@ 554,14 +566,24 @@ void Cluster(arma::mat& data,
arma::Col<size_t> assignments);
@endcode
One alternate to the default RandomPartition policy is the RefinedStart policy,
which is an implementation of the Bradley and Fayyad approach for finding
initial points detailed in "Refined initial points for kmeans clustering" and
other places in this document. Also see the documentation for
mlpack::kmeans::RefinedStart for more information.

The \c Cluster() method must return valid initial assignments for every point in
the dataset.
+Note that only one of the two possible \c Cluster() functions are required.
+This is because sometimes it is easier to express an initial partitioning policy
+as something that returns point assignments, and sometimes it is easier to
+express the policy as something that returns centroids. The KMeans<> class will
+use whichever of these two functions is given; if both are given, the overload
+that returns centroids will be preferred.
+
+One alternate to the default SampleInitialization policy is the RefinedStart
+policy, which is an implementation of the Bradley and Fayyad approach for
+finding initial points detailed in "Refined initial points for kmeans
+clustering" and other places in this document. Another option is the
+RandomPartition class, which randomly assigns points to clusters, but this may
+not work very well for most settings. See the documentation for
+mlpack::kmeans::RefinedStart and mlpack::kmeans::RandomPartition for more
+information.
+
+If the \c Cluster() method returns point assignments instead of centroids, then
+valid initial assignments must be returned for every point in the dataset.
As with the MetricType template parameter, an initialized InitialPartitionPolicy
can be passed to the constructor of \c KMeans as a fourth argument.
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