kmeans
- Name: cognitivefactory.interactive_clustering.clustering.kmeans
- Description: Implementation of constrained kmeans clustering algorithms.
- Author: Erwan SCHILD
- Created: 17/03/2021
- Licence: CeCILL-C License v1.0 (https://cecill.info/licences.fr.html)
KMeansConstrainedClustering
¶
Bases: AbstractConstrainedClustering
This class implements the KMeans constrained clustering.
It inherits from AbstractConstrainedClustering
.
References
- KMeans Clustering:
MacQueen, J. (1967). Some methods for classification and analysis of multivariate observations. Proceedings of the fifth Berkeley symposium on mathematical statistics and probability 1(14), 281–297.
- Constrained 'COP' KMeans Clustering:
Wagstaff, K., C. Cardie, S. Rogers, et S. Schroedl (2001). Constrained K-means Clustering with Background Knowledge. International Conference on Machine Learning
Example
# Import.
from scipy.sparse import csr_matrix
from cognitivefactory.interactive_clustering.constraints.binary import BinaryConstraintsManager
from cognitivefactory.interactive_clustering.clustering.kmeans import KMeansConstrainedClustering
# Create an instance of kmeans clustering.
clustering_model = KMeansConstrainedClustering(
model="COP",
random_seed=2,
)
# Define vectors.
# NB : use cognitivefactory.interactive_clustering.utils to preprocess and vectorize texts.
vectors = {
"0": csr_matrix([1.00, 0.00, 0.00, 0.00]),
"1": csr_matrix([0.95, 0.02, 0.02, 0.01]),
"2": csr_matrix([0.98, 0.00, 0.02, 0.00]),
"3": csr_matrix([0.99, 0.00, 0.01, 0.00]),
"4": csr_matrix([0.50, 0.22, 0.21, 0.07]),
"5": csr_matrix([0.50, 0.21, 0.22, 0.07]),
"6": csr_matrix([0.01, 0.01, 0.01, 0.97]),
"7": csr_matrix([0.00, 0.01, 0.00, 0.99]),
"8": csr_matrix([0.00, 0.00, 0.00, 1.00]),
}
# Define constraints manager.
constraints_manager = BinaryConstraintsManager(list_of_data_IDs=list(vectors.keys()))
constraints_manager.add_constraint(data_ID1="0", data_ID2="1", constraint_type="MUST_LINK")
constraints_manager.add_constraint(data_ID1="0", data_ID2="7", constraint_type="MUST_LINK")
constraints_manager.add_constraint(data_ID1="0", data_ID2="8", constraint_type="MUST_LINK")
constraints_manager.add_constraint(data_ID1="4", data_ID2="5", constraint_type="MUST_LINK")
constraints_manager.add_constraint(data_ID1="0", data_ID2="4", constraint_type="CANNOT_LINK")
constraints_manager.add_constraint(data_ID1="2", data_ID2="4", constraint_type="CANNOT_LINK")
# Run clustering.
dict_of_predicted_clusters = clustering_model.cluster(
constraints_manager=constraints_manager,
vectors=vectors,
nb_clusters=3,
)
# Print results.
print("Expected results", ";", {"0": 0, "1": 0, "2": 1, "3": 1, "4": 2, "5": 2, "6": 0, "7": 0, "8": 0,})
print("Computed results", ":", dict_of_predicted_clusters)
Source code in src\cognitivefactory\interactive_clustering\clustering\kmeans.py
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|
__init__(model='COP', max_iteration=150, tolerance=0.0001, random_seed=None, **kargs)
¶
The constructor for KMeans Constrainted Clustering class.
Parameters:
Name | Type | Description | Default |
---|---|---|---|
model |
str
|
The kmeans clustering model to use. Available kmeans models are |
'COP'
|
max_iteration |
int
|
The maximum number of kmeans iteration for convergence. Defaults to |
150
|
tolerance |
float
|
The tolerance for convergence computation. Defaults to |
0.0001
|
random_seed |
Optional[int]
|
The random seed to use to redo the same clustering. Defaults to |
None
|
**kargs |
dict
|
Other parameters that can be used in the instantiation. |
{}
|
Raises:
Type | Description |
---|---|
ValueError
|
if some parameters are incorrectly set. |
Source code in src\cognitivefactory\interactive_clustering\clustering\kmeans.py
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cluster(constraints_manager, vectors, nb_clusters, verbose=False, **kargs)
¶
The main method used to cluster data with the KMeans model.
Parameters:
Name | Type | Description | Default |
---|---|---|---|
constraints_manager |
AbstractConstraintsManager
|
A constraints manager over data IDs that will force clustering to respect some conditions during computation. |
required |
vectors |
Dict[str, csr_matrix]
|
The representation of data vectors. The keys of the dictionary represents the data IDs. This keys have to refer to the list of data IDs managed by the |
required |
nb_clusters |
Optional[int]
|
The number of clusters to compute. #TODO Set defaults to None with elbow method or other method ? |
required |
verbose |
bool
|
Enable verbose output. Defaults to |
False
|
**kargs |
dict
|
Other parameters that can be used in the clustering. |
{}
|
Raises:
Type | Description |
---|---|
ValueError
|
if |
Returns:
Type | Description |
---|---|
Dict[str, int]
|
Dict[str,int]: A dictionary that contains the predicted cluster for each data ID. |
Source code in src\cognitivefactory\interactive_clustering\clustering\kmeans.py
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compute_centroids(clusters)
¶
Compute the centroids of each cluster.
Parameters:
Name | Type | Description | Default |
---|---|---|---|
clusters |
Dict[str, int]
|
Current clusters assignation. |
required |
Returns:
Type | Description |
---|---|
Dict[int, csr_matrix]
|
Dict[int, csr_matrix]: A dictionary which represent each cluster by a centroid. |
Source code in src\cognitivefactory\interactive_clustering\clustering\kmeans.py
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initialize_centroids()
¶
Initialize the centroid of each cluster by a vector. The choice is based on a random selection among data to cluster.
Returns:
Type | Description |
---|---|
Dict[int, csr_matrix]
|
Dict[int, csr_matrix]: A dictionary which represent each cluster by a centroid. |
Source code in src\cognitivefactory\interactive_clustering\clustering\kmeans.py
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