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Comparison with toys datasets.¶
Comparison of classification using quantum versus classical SVM classifiers on toys datasets.
# Code source:
# https://scikit-learn.org/stable/auto_examples/classification/plot_classifier_comparison.html
# Modified for pyRiemann-qiskit by Gregoire Cattan
# License: BSD 3 clause
import matplotlib.pyplot as plt
import numpy as np
from matplotlib.colors import ListedColormap
from sklearn.datasets import make_circles, make_moons
from sklearn.model_selection import train_test_split
from sklearn.preprocessing import StandardScaler
from sklearn.svm import SVC
# uncomment to run comparison with QuanticVQC (disabled for CI/CD)
# from pyriemann_qiskit.classification import QuanticVQC
from pyriemann_qiskit.classification import QuanticSVM
from pyriemann_qiskit.utils.dataset import (
generate_linearly_separable_dataset,
generate_qiskit_dataset,
)
print(__doc__)
h = 0.02 # step size in the mesh
labels = (0, 1)
names = [
"Linear SVM",
"RBF SVM",
# uncomment to run comparison with QuanticVQC (disabled for CI/CD)
# "VQC",
"QSVM",
]
classifiers = [
SVC(kernel="linear", C=0.025),
SVC(gamma="auto", C=0.001),
# uncomment to run comparison with QuanticVQC (disabled for CI/CD)
# QuanticVQC(),
QuanticSVM(quantum=False), # quantum=False for CI
]
# Warning: There is a known convergence issue with QSVM
# and some python versions:
# https://github.com/Qiskit/qiskit-aqua/issues/1106
# https://github.com/Qiskit/qiskit-aqua/pull/1190
datasets = [
make_moons(noise=0.3, random_state=0),
make_circles(noise=0.2, factor=0.5, random_state=1),
generate_linearly_separable_dataset(),
generate_qiskit_dataset(),
]
figure = plt.figure(figsize=(15, 9))
i = 1
# iterate over datasets
for ds_cnt, ds in enumerate(datasets):
# preprocess dataset, split into training and test part
X, y = ds
X = StandardScaler().fit_transform(X)
X_train, X_test, y_train, y_test = train_test_split(
X, y, test_size=0.5, random_state=42, stratify=y
)
x_min, x_max = X[:, 0].min() - 0.5, X[:, 0].max() + 0.5
y_min, y_max = X[:, 1].min() - 0.5, X[:, 1].max() + 0.5
xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))
# just plot the dataset first
cm = plt.cm.RdBu
cm_bright = ListedColormap(["#FF0000", "#0000FF"])
ax = plt.subplot(len(datasets), len(classifiers) + 1, i)
if ds_cnt == 0:
ax.set_title("Input data")
# Plot the training points
ax.scatter(X_train[:, 0], X_train[:, 1], c=y_train, cmap=cm_bright, edgecolors="k")
# Plot the testing points
ax.scatter(
X_test[:, 0], X_test[:, 1], c=y_test, cmap=cm_bright, alpha=0.6, edgecolors="k"
)
ax.set_xlim(xx.min(), xx.max())
ax.set_ylim(yy.min(), yy.max())
ax.set_xticks(())
ax.set_yticks(())
i += 1
# iterate over classifiers
for name, clf in zip(names, classifiers):
ax = plt.subplot(len(datasets), len(classifiers) + 1, i)
clf.fit(X_train, y_train)
score = clf.score(X_test, y_test)
# Plot the decision boundary. For that, we will assign a color to each
# point in the mesh [x_min, x_max]x[y_min, y_max].
if hasattr(clf, "decision_function"):
Z = clf.decision_function(np.c_[xx.ravel(), yy.ravel()])
else:
Z = clf.predict_proba(np.c_[xx.ravel(), yy.ravel()])[:, 1]
# Put the result into a color plot
Z = Z.reshape(xx.shape)
ax.contourf(xx, yy, Z, cmap=cm, alpha=0.8)
# Plot the training points
ax.scatter(
X_train[:, 0], X_train[:, 1], c=y_train, cmap=cm_bright, edgecolors="k"
)
# Plot the testing points
ax.scatter(
X_test[:, 0],
X_test[:, 1],
c=y_test,
cmap=cm_bright,
edgecolors="k",
alpha=0.6,
)
ax.set_xlim(xx.min(), xx.max())
ax.set_ylim(yy.min(), yy.max())
ax.set_xticks(())
ax.set_yticks(())
if ds_cnt == 0:
ax.set_title(name)
ax.text(
xx.max() - 0.3,
yy.min() + 0.3,
("%.2f" % score).lstrip("0"),
size=15,
horizontalalignment="right",
)
i += 1
plt.tight_layout()
plt.show()

[QClass] Initializing Quantum Classifier
[QClass] Classical computation will be performed
[QClass] Fitting: (50, 2)
[QClass] Feature dimension = 2
[QClass] SVM initiating algorithm
[QClass] Training...
[QClass] Testing...
[QClass] Classical computation will be performed
[QClass] Fitting: (50, 2)
[QClass] Feature dimension = 2
[QClass] SVM initiating algorithm
[QClass] Training...
[QClass] Testing...
[QClass] Classical computation will be performed
[QClass] Fitting: (50, 2)
[QClass] Feature dimension = 2
[QClass] SVM initiating algorithm
[QClass] Training...
[QClass] Testing...
[QClass] Classical computation will be performed
[QClass] Fitting: (30, 2)
[QClass] Feature dimension = 2
[QClass] SVM initiating algorithm
[QClass] Training...
[QClass] Testing...
Total running time of the script: (0 minutes 1.491 seconds)