Accelerated Agglomerative Learning Algorithm for GFMM
This example shows how to use the GFMM classifier using an accelerated agglomerative learning algorithm (AGGLO-2)
Note that the numerical features in training and testing datasets must be in the range of [0, 1] because the AGGLO-2-GFMM classifiers require features in the unit cube.
1. Execute directly from the python file
[1]:
%matplotlib notebook
[2]:
import os
import warnings
warnings.filterwarnings('ignore')
Get the path to the this jupyter notebook file
[3]:
this_notebook_dir = os.path.dirname(os.path.abspath("__file__"))
this_notebook_dir
[3]:
'C:\\hyperbox-brain\\docs\\tutorials'
Get the home folder of the Hyperbox-Brain project
[4]:
from pathlib import Path
project_dir = Path(this_notebook_dir).parent.parent
project_dir
[4]:
WindowsPath('C:/hyperbox-brain')
Create the path to the Python file containing the implementation of the GFMM classifier using the accelerated agglomerative learning algorithm
[5]:
accel_agglo_file_path = os.path.join(project_dir, Path("hbbrain/numerical_data/batch_learner/accel_agglo_gfmm.py"))
accel_agglo_file_path
[5]:
'C:\\hyperbox-brain\\hbbrain\\numerical_data\\batch_learner\\accel_agglo_gfmm.py'
Run the found file by showing the execution directions
[6]:
!python "{accel_agglo_file_path}" -h
usage: accel_agglo_gfmm.py [-h] -training_file TRAINING_FILE -testing_file
TESTING_FILE [--theta THETA] [--gamma GAMMA]
[--min_simil MIN_SIMIL]
[--simil_measure {mid,long,short}]
[--asimil_type {min,max}] [--is_draw IS_DRAW]
The description of parameters
required arguments:
-training_file TRAINING_FILE
A required argument for the path to training data file
(including file name)
-testing_file TESTING_FILE
A required argument for the path to testing data file
(including file name)
optional arguments:
--theta THETA Maximum hyperbox size (in the range of (0, 1])
(default: 0.5)
--gamma GAMMA A sensitivity parameter describing the speed of
decreasing of the membership function in each
dimension (larger than 0) (default: 1)
--min_simil MIN_SIMIL
Mimimum similarity value so that two hyperboxes can be
merged (in the range of [0, 1])(default: 0.5)
--simil_measure {mid,long,short}
Type of similarity measure (default: mid)
--asimil_type {min,max}
Type of handling asymmetric similarity matrix
(default: max)
--is_draw IS_DRAW Show the existing hyperboxes during the training
process on the screen (default: False)
Create the path to training and testing datasets stored in the dataset folder
[7]:
training_data_file = os.path.join(project_dir, Path("dataset/syn_num_train.csv"))
training_data_file
[7]:
'C:\\hyperbox-brain\\dataset\\syn_num_train.csv'
[8]:
testing_data_file = os.path.join(project_dir, Path("dataset/syn_num_test.csv"))
testing_data_file
[8]:
'C:\\hyperbox-brain\\dataset\\syn_num_test.csv'
Run a demo program
[9]:
!python "{accel_agglo_file_path}" -training_file "{training_data_file}" -testing_file "{testing_data_file}" --theta 0.1 --min_simil 0.5 --simil_measure "short" --asimil_type "max" --gamma 1
Number of hyperboxes = 61
Testing accuracy (using a probability measure for samples on the boundary) = 85.00%
Testing accuracy (using a Manhattan distance for samples on the boundary) = 85.00%
2. Using the GFMM classifier with the accelerated agglomerative learning algorithm through its init, fit, and predict functions
[10]:
from hbbrain.numerical_data.batch_learner.accel_agglo_gfmm import AccelAgglomerativeLearningGFMM
import pandas as pd
Create training and testing data sets
[11]:
df_train = pd.read_csv(training_data_file, header=None)
df_test = pd.read_csv(testing_data_file, header=None)
Xy_train = df_train.to_numpy()
Xy_test = df_test.to_numpy()
Xtr = Xy_train[:, :-1]
ytr = Xy_train[:, -1]
Xtest = Xy_test[:, :-1]
ytest = Xy_test[:, -1]
Initializing parameters
[12]:
theta = 0.1
min_simil = 0.5
simil_measure = 'short'
asimil_type = 'max'
gamma = 1
is_draw = True
Training
[13]:
accel_agglo_gfmm_clf = AccelAgglomerativeLearningGFMM(theta=theta, min_simil=min_simil, simil_measure=simil_measure, asimil_type=asimil_type, gamma=gamma, is_draw=is_draw)
accel_agglo_gfmm_clf.fit(Xtr, ytr)
[13]:
AccelAgglomerativeLearningGFMM(is_draw=True, simil_measure='short', theta=0.1)
The code below shows how to display decision boundaries among classes if input data are 2-dimensional
[14]:
accel_agglo_gfmm_clf.draw_hyperbox_and_boundary("The trained GFMM classifier and its decision boundaries")
[15]:
print("Number of existing hyperboxes = %d"%(accel_agglo_gfmm_clf.get_n_hyperboxes()))
Number of existing hyperboxes = 61
[16]:
print("Training time = %f (s)"%accel_agglo_gfmm_clf.elapsed_training_time)
Training time = 3.239400 (s)
Prediction
[17]:
from sklearn.metrics import accuracy_score
from hbbrain.constants import MANHATTAN_DIS
[18]:
y_pred = accel_agglo_gfmm_clf.predict(Xtest)
acc = accuracy_score(ytest, y_pred)
print(f'Accuracy (using a probability measure for samples on the boundary) = {acc * 100: .2f}%')
Accuracy (using a probability measure for samples on the boundary) = 85.00%
[19]:
y_pred = accel_agglo_gfmm_clf.predict(Xtest, MANHATTAN_DIS)
acc = accuracy_score(ytest, y_pred)
print(f'Accuracy (using a Manhattan distance for samples on the boundary) = {acc * 100: .2f}%')
Accuracy (using a Manhattan distance for samples on the boundary) = 85.00%
Explaining the predicted result for the input sample by showing membership values and hyperboxes for each class
[20]:
sample_need_explain = 10
y_pred_input_0, mem_val_classes, min_points_classes, max_points_classes = accel_agglo_gfmm_clf.get_sample_explanation(Xtest[sample_need_explain], Xtest[sample_need_explain])
[21]:
print("Predicted class for sample X = [%f, %f] is %d and real class is %d" % (Xtest[sample_need_explain, 0], Xtest[sample_need_explain, 1], y_pred_input_0, ytest[sample_need_explain]))
Predicted class for sample X = [0.571640, 0.233700] is 2 and real class is 2
[22]:
print("Membership values:")
for key, val in mem_val_classes.items():
print("Class %d has the maximum membership value = %f" % (key, val))
for key in min_points_classes:
print("Class %d has the representative hyperbox: V = %s and W = %s" % (key, min_points_classes[key], max_points_classes[key]))
Membership values:
Class 1 has the maximum membership value = 0.870180
Class 2 has the maximum membership value = 0.961410
Class 1 has the representative hyperbox: V = [0.66562 0.36352] and W = [0.66562 0.36352]
Class 2 has the representative hyperbox: V = [0.57285 0.27229] and W = [0.61106 0.28476]
Show input sample and hyperboxes belonging to each class. In 2D, we can show rectangles or use parallel coordinates
Using rectangles to show explanations
[23]:
accel_agglo_gfmm_clf.show_sample_explanation(Xtest[sample_need_explain], Xtest[sample_need_explain], min_points_classes, max_points_classes, y_pred_input_0, "2D")
Using parallel coordinates. This mode best fits for any dimensions
[24]:
# Create a parallel coordinates graph
accel_agglo_gfmm_clf.show_sample_explanation(Xtest[sample_need_explain], Xtest[sample_need_explain], min_points_classes, max_points_classes, y_pred_input_0, file_path="par_cord/accel_agglo_gfmm_par_cord.html")
[25]:
# Load parallel coordinates to display on the notebook
from IPython.display import IFrame
# We load the parallel coordinates from GitHub here for demostration in readthedocs
# On the local notebook, we only need to load from the graph storing at 'par_cord/accel_agglo_gfmm_par_cord.html'
IFrame('https://uts-caslab.github.io/hyperbox-brain/docs/tutorials/par_cord/accel_agglo_gfmm_par_cord.html', width=820, height=520)
[25]: