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import numpy as np
import pandas as pd
from matplotlib import pyplot as plt
import matplotlib.colors as colors
import itertools
from scipy.stats import norm
from scipy import stats
from sklearn.naive_bayes import GaussianNB
def gaussian(x, n, u, s):
#u = x.mean()
#s = x.std()
# divide [x.min(), x.max()] by n
x = np.linspace(x.min(), x.max(), n)
a = ((x - u) ** 2) / (2 * (s ** 2))
y = 1 / (s * np.sqrt(2 * np.pi)) * np.exp(-a)
return x, y, u, s
def plot_figure(N, u1, std1, u2, std2, show_dist, classifier=None):
#N = 100
import numpy as np
import matplotlib.pyplot as pp
pp.style.use('default')
val = 0. # this is the value where you want the data to appear on the y-axis.
points_class1 = [stats.norm.rvs(loc=u1, scale = std1) for x in range(N)]
points_class2 = [stats.norm.rvs(loc=u2, scale = std2) for x in range(N)]
pd_class1 = pd.DataFrame({'Feature 1 (X)': points_class1, 'Label (Y)': np.repeat(0,len(points_class1))})
pd_class2 = pd.DataFrame({'Feature 1 (X)': points_class2, 'Label (Y)': np.repeat(1,len(points_class2))})
pd_all = pd.concat([pd_class1, pd_class2]).reset_index(drop=True)
import numpy as np
X_data= pd_all['Feature 1 (X)'].to_numpy().reshape((len(pd_all),1))
y_labels= pd_all['Label (Y)']
# define x, y limits
x_min, x_max = X_data[:, 0].min() - 1, X_data[:, 0].max() + 1
y_min, y_max = 0-1, 1 + 1
fig = pp.figure(figsize=(8, 6)) # figure size in inches
fig.subplots_adjust(left=0, right=1, bottom=0, top=1, hspace=0.3, wspace=0.05)
pp.tick_params(left = False, right = False , labelleft = False ,
labelbottom = True, bottom = False)
#reference = [stats.uniform.rvs(loc=1, scale = 1) for x in range(N)]
pp.plot(points_class1, np.zeros_like(points_class1) + val, 'x', label = 'Class 1', markersize = 10)
pp.plot(points_class2, np.zeros_like(points_class2) + val, 'o', label = 'Class 2', markersize = 10)
if show_dist:
x = np.arange(x_min, x_max, 0.01, dtype=np.float) # define range of x
x, y, u, s = gaussian(x, 10000, np.mean(points_class1), np.std(points_class1) )
pp.plot(x, y)
#pp.plot(x, y, label=r'$Gaussian (\mu=%.2f,\ \sigma=%.2f)$' % (u, s))
x = np.arange(x_min, x_max, 0.01, dtype=np.float) # define range of x
x, y, u, s = gaussian(x, 10000, np.mean(points_class2), np.std(points_class2) )
pp.plot(x, y)
#pp.plot(x, y, label=r'$Gaussian (\mu=%.2f,\ \sigma=%.2f)$' % (u, s))
### draw decision boundary on knn
import numpy as np
from matplotlib import pyplot as plt
from sklearn import neighbors, datasets
from matplotlib.colors import ListedColormap
# Create color maps for 3-class classification problem, as with iris
cmap_light = ListedColormap(['#FFAAAA', '#AAFFAA'])
cmap_bold = ListedColormap(['#FF0000', '#00FF00'])
xx, yy = np.meshgrid(np.linspace(x_min, x_max, 100),
np.linspace(y_min, y_max, 100))
if classifier == 'LDA':
from sklearn.discriminant_analysis import LinearDiscriminantAnalysis
model_sk = LinearDiscriminantAnalysis()
model_sk.fit(X_data,y_labels)
zz = model_sk.predict(np.c_[xx.ravel()])
#Predictions for each point on meshgrid
#zz = np.array( [model_sk.predict( [[xx,yy]])[0] for xx, yy in zip(np.ravel(X), np.ravel(Y)) ] )
#Reshaping the predicted class into the meshgrid shape
Z = zz.reshape(xx.shape)
pp.pcolormesh(xx, yy, Z, cmap=cmap_light, alpha=0.2)
elif classifier == 'QDA':
from sklearn.discriminant_analysis import QuadraticDiscriminantAnalysis
model_sk = QuadraticDiscriminantAnalysis()
model_sk.fit(X_data,y_labels)
model_sk.fit(X_data,y_labels)
zz = model_sk.predict(np.c_[xx.ravel()])
#Predictions for each point on meshgrid
#zz = np.array( [model_sk.predict( [[xx,yy]])[0] for xx, yy in zip(np.ravel(X), np.ravel(Y)) ] )
#Reshaping the predicted class into the meshgrid shape
Z = zz.reshape(xx.shape)
print("Z: ",Z)
pp.pcolormesh(xx, yy, Z, cmap=cmap_light, alpha=0.2)
elif classifier == 'NaiveBayes':
from sklearn.naive_bayes import GaussianNB
model_sk = GaussianNB(priors = None)
model_sk.fit(X_data,y_labels)
Z = model_sk.predict(np.c_[xx.ravel()])
Z = Z.reshape(xx.shape)
pp.pcolormesh(xx, yy, Z, cmap=cmap_light, alpha=0.2)
pp.xlim([x_min, x_max])
pp.ylim([y_min, y_max])
pp.xlabel("Feature 1 (X1)", size=20)
pp.xticks(fontsize=20)
pp.ylabel("Feature 2 (X2)")
pp.legend(loc='upper right', borderpad=0, handletextpad=0, fontsize = 20)
pp.savefig('plot.png')
return 'plot.png', pd_all
set_mean_class1 = gr.inputs.Slider(-20, 20, step=0.5, default=1, label = 'Mean (Class 1)')
set_std_class1 = gr.inputs.Slider(0, 10, step=0.5, default=1.5, label = 'Standard Deviation (Class 1)')
# 2. define mean and standard deviation for class 2
set_mean_class2 = gr.inputs.Slider(-20, 20, step=0.5, default=10, label = 'Mean (Class 2)')
set_std_class2 = gr.inputs.Slider(0, 10, step=0.5, default=1.5, label = 'Standard Deviation (Class 2)')
# 3. Define the number of data points
set_number_points = gr.inputs.Slider(10, 100, step=5, default=20, label = 'Number of samples in each class')
# 4. show distribution or not
set_show_dist = gr.inputs.Checkbox(label="Show data distribution")
# 5. set classifier type
set_classifier = gr.inputs.Dropdown(["None", "LDA", "QDA", "NaiveBayes"])
# 6. define output imagem model
set_out_plot_images = gr.outputs.Image(label="Data visualization")
set_out_plot_table = gr.outputs.Dataframe(type='pandas', label ='Simulated Dataset')
### configure gradio, detailed can be found at https://www.gradio.app/docs/#i_slider
interface = gr.Interface(fn=plot_figure,
inputs=[set_number_points,set_mean_class1,set_std_class1,set_mean_class2,set_std_class2, set_show_dist, set_classifier],
outputs=[set_out_plot_images,set_out_plot_table],
examples_per_page = 2,
#examples = get_sample_data(10),
title="CSCI4750/5750 Demo: Web Application for Probabilistic Classifier (Single feature)",
description= "Click examples below for a quick demo",
theme = 'huggingface',
layout = 'vertical', live=True
)
interface.launch(debug=True)
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