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Application of Bayesian Regression

Application of Bayesian Regression

Learn about the applications of Bayesian regression in software engineering.

Bayesian regression is a powerful machine learning technique that combines prior knowledge and observed data to make predictions. This approach allows for incorporating prior beliefs about the model parameters, leading to more robust results than traditional frequentist regression. In software engineering, Bayesian regression can be used for various tasks, including software performance prediction, bug density prediction, and effort estimation.

Software defect prediction

One of the main applications of Bayesian regression in software engineering is software defect prediction. This application aims to predict the number of software defects present in a given system based on specific software characteristics, such as the size of the system, the number of developers involved in the project, and the number of lines of code.

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Bayesian regression to estimate software quality
Bayesian regression to estimate software quality

In Bayesian regression, we can model the relationship between these characteristics and the number of software defects using a Bayesian linear regression model.

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import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from sklearn.linear_model import BayesianRidge
# Generate the data
np.random.seed(0)
n_samples, n_features = 1000, 5
X = np.random.randn(n_samples, n_features)
y = np.random.randn(n_samples)
# Fit the model
model = BayesianRidge(compute_score=True)
model.fit(X, y)
# Plot the coefficients
plt.figure(figsize=(8,6))
plt.plot(model.coef_, 'bo', label="Bayesian Ridge estimate")
plt.xlabel("Features")
plt.ylabel("Coefficients")
plt.title("Bayesian Ridge Regression Coefficients")
plt.legend(loc="best", shadow=False, prop={"size": 9})
plt.show()
plt.savefig("output/defect.png")

In the code above:

  • Lines 1–5: We import the necessary libraries, including ...

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