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Model E: Unsupervised PCA + clustering risk stratification
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"""
Modelling process
"""
import json
import pandas as pd
import numpy as np
import pickle
import matplotlib.pyplot as plt
import mlflow
from matplotlib import rcParams
from sklearn.cluster import AgglomerativeClustering, KMeans
from sklearn.tree import DecisionTreeClassifier as DTC
from sklearn.decomposition import PCA
from sklearn.metrics import (davies_bouldin_score, silhouette_score,
accuracy_score, confusion_matrix,
ConfusionMatrixDisplay)
# Set-up figures
rcParams['figure.figsize'] = 20, 5
rcParams['axes.spines.top'] = False
rcParams['axes.spines.right'] = False
def extract_year(df, eoy_date):
"""
Extract 1 year of data
--------
:param df: dataframe to extract from
:param eoy_date: user-specified EOY date for training
:return: data from chosen year
"""
return df[df.eoy == eoy_date]
def read_yearly_data(data_path, typ, eoy_date):
"""
Read in data for year required
--------
:param data_path: path to generated data
:param typ: type of data to read in
:param eoy_date: end of year date to select data from
:return: data from chosen year and ids
"""
df = pd.read_pickle(data_path + 'min_max_' + typ + '.pkl')
df_year = extract_year(df, eoy_date)
ids = df_year.pop('SafeHavenID').to_list()
df_year = df_year.drop('eoy', axis=1)
return df_year, ids
def plot_variance(df, typ):
"""
Plot PCA variance
---------
:param df: dataframe to process with PCA
:param typ: type of plot - for 'full' data or 'reduced'
:return: pca object
"""
pca = PCA().fit(df)
n = list(range(1, len(df.columns) + 1))
evr = pca.explained_variance_ratio_.cumsum()
fig, ax = plt.subplots()
ax.plot(n, evr)
title = 'PCA Variance - ' + typ
ax.set_title(title, size=20)
ax.set_xlabel('Number of principal components')
ax.set_ylabel('Cumulative explained variance')
ax.grid()
plt.tight_layout()
mlflow.log_figure(fig, 'fig/' + title + '.png')
return pca
def extract_pca_loadings(df, pca_object):
"""
Extract PCA loadings
--------
:param df: dataframe to reduce with pca
:param pca_object: pca object with feature loadings
:return: loadings table
"""
cols = df.columns
loadings = pd.DataFrame(
data=pca_object.components_.T * np.sqrt(pca_object.explained_variance_),
columns=[f'PC{i}' for i in range(1, len(cols) + 1)],
index=cols)
return loadings
def plot_loadings(loadings):
"""
Plot loadings for PC1 returned from PCA
--------
:param loadings: table of feature correlations to PC1
:return: updated loadings table
"""
loadings_abs = loadings.abs().sort_values(by='PC1', ascending=False)
pc1_abs = loadings_abs[['PC1']].reset_index()
col_map = {'index': 'Attribute', 'PC1': 'AbsCorrWithPC1'}
pc1_abs = pc1_abs.rename(col_map, axis=1)
fig, ax = plt.subplots()
pc1_abs.plot(ax=ax, kind='bar')
title = 'PCA loading scores (PC1)'
ax.set_title(title, size=20)
ax.set_xticks(ticks=pc1_abs.index, labels=pc1_abs.Attribute, rotation='vertical')
ax.set_xlabel('Attribute')
ax.set_ylabel('AbsCorrWithPC1')
plt.tight_layout()
mlflow.log_figure(fig, 'fig/' + title + '.png')
return pc1_abs
def extract_array(df, data_path, run_name, pca_object, typ):
"""
Extract data to pass to clustering algos
--------
:param df: dataframe to convert
:param data_path: path to generated data
:param run_name: name of run in ML Flow
:param pca_object: initialised PCA object
:param typ: type of return needed, either 'train' or 'test'
:return: converted array (and PCA object if training)
"""
if typ == 'train':
pca_func = pca_object.fit_transform
else:
pca_func = pca_object.transform
pca_data = pd.DataFrame(pca_func(df)).to_numpy()
if typ == 'train':
pca_file = data_path + run_name + '_pca.pkl'
pickle.dump(pca_object, open(pca_file, 'wb'))
return pca_data
def get_kmeans_score(data, k):
'''
Calculate K-Means Davies Bouldin and Silhouette scores
--------
:param data: dataset to fit K-Means to
:param k: number of centers/clusters
:return: Scores
'''
kmeans = KMeans(n_clusters=k)
model = kmeans.fit_predict(data)
db_score = davies_bouldin_score(data, model)
sil_score = silhouette_score(data, model)
return db_score, sil_score
def plot_DB(df):
"""
Extract David Bouldin score and plot for a range of cluster numbers,
applied using K-Means clustering.
"Davies Bouldin index represents the average 'similarity' of clusters,
where similarity is a measure that relates cluster distance to cluster
size" - the lowest score indicates best cluster set.
--------
:param df: dataframe to plot from
"""
db_scores = []
sil_scores = []
centers = list(range(2, 10))
for center in centers:
db_score, sil_score = get_kmeans_score(df, center)
db_scores.append(db_score)
sil_scores.append(sil_score)
# Plot DB
fig, ax = plt.subplots()
ax.plot(centers, db_scores, linestyle='--', marker='o', color='b')
ax.set_xlabel('K')
ax.set_ylabel('Davies Bouldin score')
title = 'Davies Bouldin score vs. K'
ax.set_title(title, size=20)
plt.tight_layout()
mlflow.log_figure(fig, 'fig/' + title + '.png')
# Plot silhouette
fig, ax = plt.subplots()
ax.plot(centers, sil_scores, linestyle='--', marker='o', color='b')
ax.set_xlabel('K')
ax.set_ylabel('Silhouette score')
title = 'Silhouette score vs. K'
ax.set_title(title, size=20)
plt.tight_layout()
mlflow.log_figure(fig, 'fig/' + title + '.png')
def plot_clust(df, labels):
"""
Plot clusters
--------
:param df: dataframe to plot clusters from
:param labels: cluster labels
"""
fig = plt.figure(figsize=(10, 10))
ax = fig.add_subplot(111, projection='3d')
sc = ax.scatter(df[:, 0], df[:, 1], df[:, 2], c=labels)
ax.set_xlabel('Principal Component 1')
ax.set_ylabel('Principal Component 2')
ax.set_zlabel('Principal Component 3')
ax.legend(*sc.legend_elements(), title='clusters')
title = 'Clusters'
ax.set_title(title, size=20)
plt.tight_layout()
mlflow.log_figure(fig, 'fig/' + title + '.png')
def save_clusters(data_path, run_name, eoy_date, typ, labels):
"""
Save results from clustering
--------
:param typ: type of datasets - train, val
:param labels: labels from clustering to add to df
:param cols: columns to use for training
:return: reduced dataframe in numpy format
"""
df_full = pd.read_pickle(data_path + 'filled_' + typ + '.pkl')
df = df_full[df_full.eoy == eoy_date]
df['cluster'] = labels
df.to_pickle(data_path + '_'.join((run_name, typ, 'clusters.pkl')))
def main():
# Load in config files
with open('../../../config.json') as json_config_file:
config = json.load(json_config_file)
# Set model parameters
eoy_date = config['date']
data_path = config['model_data_path']
model_type = config['model_type']
# Load in model config
with open(model_type + '_params.json') as json_params_file:
model_params = json.load(json_params_file)
# Create ML Flow run details
stamp = str(pd.Timestamp.now(tz='GMT+0'))[:16].replace(':', '').replace(' ', '_')
experiment_name = 'Model E - Date Specific: ' + model_type
run_name = "_".join((str(eoy_date), model_type, stamp))
description = "Clustering model for COPD data in the year prior to " + str(eoy_date)
# Set up ML Flow
print('Setting up ML Flow run')
mlflow.set_tracking_uri('http://127.0.0.1:5000/')
mlflow.set_experiment(experiment_name)
mlflow.start_run(run_name=run_name, description=description)
mlflow.set_tag("model.name", model_type)
mlflow.set_tag("model.training_data", config['extract_data_path'])
mlflow.set_tag("model.training_date", eoy_date)
mlflow.log_param("k", model_params['n_clusters'])
# Read in data
df_train, train_ids = read_yearly_data(data_path, 'train', eoy_date)
df_val, val_ids = read_yearly_data(data_path, 'val', eoy_date)
mlflow.log_param("n_cols", len(df_train.columns))
# Read in data
df_train, train_ids = read_yearly_data(data_path, 'train', eoy_date)
df_val, val_ids = read_yearly_data(data_path, 'val', eoy_date)
mlflow.log_param("n_cols", len(df_train.columns))
# Select top features using PCA feature importance
print('Feature reduction stage 1')
pca = plot_variance(df_train, 'full')
loadings = extract_pca_loadings(df_train, pca)
pc1_abs_loadings = plot_loadings(loadings)
variance_full = pca.explained_variance_ratio_.cumsum()
n_cols = np.argmax(variance_full >= 0.9) + 1
mlflow.log_param("pca_stage_1", n_cols)
columns = pc1_abs_loadings.Attribute[:n_cols].values
np.save(data_path + run_name + '_cols.npy', columns)
# Reduce data by selecting n columns
df_train_reduced = df_train[columns]
df_val_reduced = df_val[columns]
# Convert columns to principal components
print('Feature reduction stage 2')
pca_n_cols = plot_variance(df_train_reduced, 'reduced')
variance_reduced = pca_n_cols.explained_variance_ratio_.cumsum()
n_components = np.argmax(variance_reduced >= 0.8) + 1
mlflow.log_param("pca_stage_2", n_components)
pca_reduced = PCA(n_components=n_components)
data_train = extract_array(
df_train_reduced, data_path, run_name, pca_reduced, 'train')
data_val = extract_array(
df_val_reduced, data_path, run_name, pca_reduced, 'test')
# Find best cluster number
print('Detecting best cluster number')
plot_DB(data_train)
# Fit clustering model
print('Cluster model training')
data = np.concatenate((data_train, data_val))
if model_type == 'hierarchical':
cluster_model = AgglomerativeClustering(**model_params)
else:
cluster_model = KMeans(**model_params)
cluster_model.fit(data)
cluster_model_file = data_path + "_".join((run_name, model_type, 'cluster_model.pkl'))
pickle.dump(cluster_model, open(cluster_model_file, 'wb'))
# Split labels
labels = cluster_model.labels_
train_labels = labels[:len(train_ids)]
val_labels = labels[len(train_ids):]
save_clusters(data_path, run_name, eoy_date, 'train', train_labels)
save_clusters(data_path, run_name, eoy_date, 'val', val_labels)
# Plot cluster results
plot_clust(data, labels)
# Read in DTC parameters
with open('dtc_params.json') as dtc_params_file:
dtc_params = json.load(dtc_params_file)
# Train and validate classifier
print('Decision tree classifier training')
clf = DTC(**dtc_params).fit(df_train_reduced.to_numpy(), train_labels)
clf_model_file = data_path + run_name + '_dtc_model.pkl'
pickle.dump(clf, open(clf_model_file, 'wb'))
# Calculate metrics
val_pred = clf.predict(df_val_reduced.to_numpy())
accuracy = accuracy_score(val_labels, val_pred)
mlflow.log_metric('dtc accuracy', accuracy)
# Plot confusion matrix
cm = confusion_matrix(val_labels, val_pred, labels=clf.classes_)
disp = ConfusionMatrixDisplay(
confusion_matrix=cm, display_labels=clf.classes_)
disp.plot()
plt.tight_layout()
mlflow.log_figure(disp.figure_, 'fig/' + 'confusion_matrix' + '.png')
# Stop ML Flow
mlflow.end_run()
main()