Create app.py
Browse files
app.py
ADDED
|
@@ -0,0 +1,101 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
import gradio as gr
|
| 2 |
+
import numpy as np
|
| 3 |
+
import matplotlib.pyplot as plt
|
| 4 |
+
|
| 5 |
+
from sklearn.datasets import make_blobs
|
| 6 |
+
from sklearn.discriminant_analysis import LinearDiscriminantAnalysis
|
| 7 |
+
from sklearn.covariance import OAS
|
| 8 |
+
|
| 9 |
+
def generate_data(n_samples, n_features):
|
| 10 |
+
X, y = make_blobs(n_samples=n_samples, n_features=1, centers=[[-2], [2]])
|
| 11 |
+
|
| 12 |
+
if n_features > 1:
|
| 13 |
+
X = np.hstack([X, np.random.randn(n_samples, n_features - 1)])
|
| 14 |
+
return X, y
|
| 15 |
+
|
| 16 |
+
def classify(n_train, n_test, n_averages, n_features_max, step):
|
| 17 |
+
acc_clf1, acc_clf2, acc_clf3 = [], [], []
|
| 18 |
+
n_features_range = range(1, n_features_max + 1, step)
|
| 19 |
+
|
| 20 |
+
for n_features in n_features_range:
|
| 21 |
+
score_clf1, score_clf2, score_clf3 = 0, 0, 0
|
| 22 |
+
for _ in range(n_averages):
|
| 23 |
+
X, y = generate_data(n_train, n_features)
|
| 24 |
+
|
| 25 |
+
clf1 = LinearDiscriminantAnalysis(solver="lsqr", shrinkage=None).fit(X, y)
|
| 26 |
+
clf2 = LinearDiscriminantAnalysis(solver="lsqr", shrinkage="auto").fit(X, y)
|
| 27 |
+
oa = OAS(store_precision=False, assume_centered=False)
|
| 28 |
+
clf3 = LinearDiscriminantAnalysis(solver="lsqr", covariance_estimator=oa).fit(X, y)
|
| 29 |
+
|
| 30 |
+
X, y = generate_data(n_test, n_features)
|
| 31 |
+
score_clf1 += clf1.score(X, y)
|
| 32 |
+
score_clf2 += clf2.score(X, y)
|
| 33 |
+
score_clf3 += clf3.score(X, y)
|
| 34 |
+
|
| 35 |
+
acc_clf1.append(score_clf1 / n_averages)
|
| 36 |
+
acc_clf2.append(score_clf2 / n_averages)
|
| 37 |
+
acc_clf3.append(score_clf3 / n_averages)
|
| 38 |
+
|
| 39 |
+
features_samples_ratio = np.array(n_features_range) / n_train
|
| 40 |
+
|
| 41 |
+
plt.plot(
|
| 42 |
+
features_samples_ratio,
|
| 43 |
+
acc_clf1,
|
| 44 |
+
linewidth=2,
|
| 45 |
+
label="LDA",
|
| 46 |
+
color="gold",
|
| 47 |
+
linestyle="solid",
|
| 48 |
+
)
|
| 49 |
+
plt.plot(
|
| 50 |
+
features_samples_ratio,
|
| 51 |
+
acc_clf2,
|
| 52 |
+
linewidth=2,
|
| 53 |
+
label="LDA with Ledoit Wolf",
|
| 54 |
+
color="navy",
|
| 55 |
+
linestyle="dashed",
|
| 56 |
+
)
|
| 57 |
+
plt.plot(
|
| 58 |
+
features_samples_ratio,
|
| 59 |
+
acc_clf3,
|
| 60 |
+
linewidth=2,
|
| 61 |
+
label="LDA with OAS",
|
| 62 |
+
color="red",
|
| 63 |
+
linestyle="dotted",
|
| 64 |
+
)
|
| 65 |
+
|
| 66 |
+
plt.xlabel("n_features / n_samples")
|
| 67 |
+
plt.ylabel("Classification accuracy")
|
| 68 |
+
plt.legend(loc="lower left")
|
| 69 |
+
plt.ylim((0.65, 1.0))
|
| 70 |
+
plt.suptitle(
|
| 71 |
+
"LDA (Linear Discriminant Analysis) vs. "
|
| 72 |
+
+ "\n"
|
| 73 |
+
+ "LDA with Ledoit Wolf vs. "
|
| 74 |
+
+ "\n"
|
| 75 |
+
+ "LDA with OAS (1 discriminative feature)"
|
| 76 |
+
)
|
| 77 |
+
|
| 78 |
+
# Convert the plot to Gradio compatible format
|
| 79 |
+
plt.tight_layout()
|
| 80 |
+
plt.savefig("plot.png")
|
| 81 |
+
return "plot.png"
|
| 82 |
+
|
| 83 |
+
# Define the input and output interfaces
|
| 84 |
+
inputs = [
|
| 85 |
+
gr.inputs.Slider(minimum=1, maximum=100, step=1, label="n_train", default=20),
|
| 86 |
+
gr.inputs.Slider(minimum=1, maximum=500, step=1, label="n_test", default=200),
|
| 87 |
+
gr.inputs.Slider(minimum=1, maximum=100, step=1, label="n_averages", default=50),
|
| 88 |
+
gr.inputs.Slider(minimum=1, maximum=100, step=1, label="n_features_max", default=75),
|
| 89 |
+
gr.inputs.Slider(minimum=1, maximum=20, step=1, label="step", default=4),
|
| 90 |
+
]
|
| 91 |
+
output = gr.outputs.Image(type="pil")
|
| 92 |
+
examples = [
|
| 93 |
+
[20, 200, 50, 75, 4],
|
| 94 |
+
[30, 250, 60, 80, 5],
|
| 95 |
+
[40, 300, 70, 90, 6],
|
| 96 |
+
]
|
| 97 |
+
|
| 98 |
+
# Create the Gradio app
|
| 99 |
+
title = "Normal, Ledoit-Wolf and OAS Linear Discriminant Analysis for classification"
|
| 100 |
+
description = "This example illustrates how the Ledoit-Wolf and Oracle Shrinkage Approximating (OAS) estimators of covariance can improve classification. See the original example: https://scikit-learn.org/stable/auto_examples/classification/plot_lda.html"
|
| 101 |
+
gr.Interface(classify, inputs, output, examples=examples, title=title, description=description).launch()
|