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#Name: Chris Forte
#Date: 09/04/2023
#Course: COMPSCI 711
#Task: Assignment II
#This program performs various functions, which can be best explained in four sections.
#The first section encompasses multiple methods dedicated to calculating four varieties of
#regression. These varieties are: linear regression, decision tree, K-nearest neighbor,
#and SVR (support vector machines).
#The second section addresses an initial task, which compares the base and bagged versions of the
#aforementioned regressions.
#The third section addresses a second task, which compares the base and boosted versions of the
#aforementioned regressions.
#The fourth section addresses a third task, which compares the base and voting ensemble versions
#of the aforementioned regressions.
#Referenced resources and tools include https://www.geeksforgeeks.org, https://www.openml.org,
#"Fundamentals of Machine Learning for Predictive Data Analytics: Algorithms, Worked Examples,
#and Case Studies", https://docs.python.org/, and https://chat.openai.com.
import openml
import plotly.graph_objects as go
import pandas as pd
from plotly.subplots import make_subplots
from sklearn import datasets
from sklearn.tree import DecisionTreeRegressor
from scipy.stats import ttest_rel
from sklearn.ensemble import BaggingRegressor
from sklearn.ensemble import AdaBoostRegressor
from sklearn.ensemble import VotingRegressor
from sklearn.neighbors import KNeighborsRegressor
from sklearn.model_selection import GridSearchCV
from sklearn.svm import SVR
from sklearn.linear_model import LinearRegression
from sklearn.compose import ColumnTransformer
from sklearn.preprocessing import OneHotEncoder
from sklearn.model_selection import cross_validate
#Data Load and Cleaning Step
def load_openml_dataset(data_id):
dst = datasets.fetch_openml(data_id=data_id)
ct = ColumnTransformer([("encoder", OneHotEncoder(sparse_output=False), [0, 1, 6])], remainder="passthrough")
dst_new_data = ct.fit_transform(dst.data)
new_data = pd.DataFrame(dst_new_data, columns=ct.get_feature_names_out(), index=dst.data.index)
return new_data, dst.target
#Base Linear Regression
def base_lr_regression():
data, target = load_openml_dataset(43785)
base_lr = LinearRegression()
scores = cross_validate(base_lr, data, target, cv=10, scoring="neg_root_mean_squared_error")
base_lr_rmse = 0-scores["test_score"]
return base_lr_rmse.mean()
#Boosted Linear Regression
def boosted_lr_regression():
data, target = load_openml_dataset(43785)
boosted_lr = AdaBoostRegressor(estimator=LinearRegression())
scores = cross_validate(boosted_lr, data, target, cv=10, scoring="neg_root_mean_squared_error")
boosted_lr_rmse = 0-scores["test_score"]
return boosted_lr_rmse.mean()
#Bagged Linear Regression
def bagged_lr_regression():
data, target = load_openml_dataset(43785)
bagged_lr = BaggingRegressor(estimator=LinearRegression())
scores = cross_validate(bagged_lr, data, target, cv=10, scoring="neg_root_mean_squared_error")
bagged_lr_rmse = 0-scores["test_score"]
return bagged_lr_rmse.mean()
#Ensemble Linear Regression
def ensemble_lr_regression():
data, target = load_openml_dataset(43785)
lr_vr = VotingRegressor([("lr", LinearRegression()), ("svr", SVR())])
scores = cross_validate(lr_vr, data, target, cv=10, scoring="neg_root_mean_squared_error")
ensemble_lr_rmse = 0-scores["test_score"]
return ensemble_lr_rmse.mean()
#Base Decision Tree Regression
def base_dt_regression():
data, target = load_openml_dataset(43785)
parameters = {'min_samples_leaf': [1, 3, 5, 7, 9]}
bdtr = DecisionTreeRegressor()
tuned_dtr = GridSearchCV(estimator=bdtr, param_grid=parameters, cv=5, scoring="neg_root_mean_squared_error")
scores = cross_validate(tuned_dtr, data, target, cv=10, scoring="neg_root_mean_squared_error")
base_dt_rmse = 0-scores["test_score"]
return base_dt_rmse.mean()
#Bagged Decision Tree Regression
def bagged_dt_regression():
data, target = load_openml_dataset(43785)
parameters = {'estimator': [DecisionTreeRegressor(min_samples_leaf=l) for l in [1, 3, 5, 7, 9]]}
bagged_dtr = BaggingRegressor()
tuned_dtr = GridSearchCV(estimator=bagged_dtr, param_grid=parameters, cv=5, scoring="neg_root_mean_squared_error")
scores = cross_validate(tuned_dtr, data, target, cv=10, scoring="neg_root_mean_squared_error")
bagged_dt_rmse = 0-scores["test_score"]
return bagged_dt_rmse.mean()
#Boosted Decision Tree Regression
def boosted_dt_regression():
data, target = load_openml_dataset(43785)
parameters = {'estimator': [DecisionTreeRegressor(min_samples_leaf=l) for l in [1, 3, 5, 7, 9]]}
boosted_dtr = AdaBoostRegressor()
tuned_dtr = GridSearchCV(estimator=boosted_dtr, param_grid=parameters, cv=5, scoring="neg_root_mean_squared_error")
scores = cross_validate(tuned_dtr, data, target, cv=10, scoring="neg_root_mean_squared_error")
boosted_dt_rmse = 0-scores["test_score"]
return boosted_dt_rmse.mean()
#Ensemble Decision Tree Regression
def ensemble_dt_regression():
data, target = load_openml_dataset(43785)
dtrs = [DecisionTreeRegressor(min_samples_leaf=l) for l in [1, 3, 5, 7, 9]]
dt_vr = VotingRegressor([("dtr" + str(i), dtrs[i]) for i in range(len(dtrs))])
scores = cross_validate(dt_vr, data, target, cv=10, scoring="neg_root_mean_squared_error")
ensemble_dt_rmse = 0-scores["test_score"]
return ensemble_dt_rmse.mean()
#Base K-Nearest Neighbor Regression
def base_knn_regression():
data, target = load_openml_dataset(43785)
parameters = {'n_neighbors': [1, 3, 5, 7, 9]}
base_knn = KNeighborsRegressor()
tuned_knn = GridSearchCV(estimator=base_knn, param_grid=parameters, cv=5, scoring="neg_root_mean_squared_error")
scores = cross_validate(tuned_knn, data, target, cv=10, scoring="neg_root_mean_squared_error")
base_knn_rmse = 0-scores["test_score"]
return base_knn_rmse.mean()
#Bagged K-Nearest Neighbor Regression
def bagged_knn_regression():
data, target = load_openml_dataset(43785)
parameters = {'estimator': [KNeighborsRegressor(n_neighbors=k) for k in [1, 3, 5, 7, 9]]}
bagged_knn = BaggingRegressor()
tuned_bknn = GridSearchCV(estimator=bagged_knn, param_grid=parameters, cv=5, scoring="neg_root_mean_squared_error")
scores = cross_validate(tuned_bknn, data, target, cv=10, scoring="neg_root_mean_squared_error")
bagged_knn_rmse = 0-scores["test_score"]
return bagged_knn_rmse.mean()
#Boosted K-Nearest Neighbor Regression
def boosted_knn_regression():
data, target = load_openml_dataset(43785)
parameters = {'estimator': [KNeighborsRegressor(n_neighbors=k) for k in [1, 3, 5, 7, 9]]}
boosted_knn = AdaBoostRegressor()
tuned_knn = GridSearchCV(estimator=boosted_knn, param_grid=parameters, cv=5, scoring="neg_root_mean_squared_error")
scores = cross_validate(tuned_knn, data, target, cv=10, scoring="neg_root_mean_squared_error")
boosted_knn_rmse = 0-scores["test_score"]
return boosted_knn_rmse.mean()
#Ensemble K-Nearest Neighbor Regression
def ensemble_knn_regression():
data, target = load_openml_dataset(43785)
parameters = [KNeighborsRegressor(n_neighbors=k) for k in [1, 3, 5, 7, 9]]
knn_vr = VotingRegressor([("parameters" + str(i), parameters[i]) for i in range(len(parameters))])
scores = cross_validate(knn_vr, data, target, cv=10, scoring="neg_root_mean_squared_error")
ensemble_knn_rmse = 0-scores["test_score"]
return ensemble_knn_rmse.mean()
#Base Support-Vector Machine Regression
def base_svr_regression():
data, target = load_openml_dataset(43785)
svr = SVR()
scores = cross_validate(svr, data, target, cv=10, scoring="neg_root_mean_squared_error")
base_svr_rmse = 0-scores["test_score"]
return base_svr_rmse.mean()
#Bagged Support-Vector Machine Regression
def bagged_svr_regression():
data, target = load_openml_dataset(43785)
bagged_svr = BaggingRegressor(estimator=SVR())
scores = cross_validate(bagged_svr, data, target, cv=10, scoring="neg_root_mean_squared_error")
bagged_svr_rmse = 0-scores["test_score"]
return bagged_svr_rmse.mean()
#Boosted Support-Vector Machine Regression
def boosted_svr_regression():
data, target = load_openml_dataset(43785)
boosted_svr = AdaBoostRegressor(estimator=SVR())
scores = cross_validate(boosted_svr, data, target, cv=10, scoring="neg_root_mean_squared_error")
boosted_svr_rmse = 0-scores["test_score"]
return boosted_svr_rmse.mean()
#Ensemble Support-Vector Machine Regression
def ensemble_svr_regression():
data, target = load_openml_dataset(43785)
svr_vr = VotingRegressor([("svr", SVR())])
scores = cross_validate(svr_vr, data, target, cv=10, scoring="neg_root_mean_squared_error")
ensemble_svr_rmse = 0-scores["test_score"]
return ensemble_svr_rmse.mean()
def taskOne():
#Retrieve Base and Bagged RMSE values for Each Method
lr_base_rmse = base_lr_regression()
lr_bagged_rmse = bagged_lr_regression()
dt_base_rmse = base_dt_regression()
dt_bagged_rmse = bagged_dt_regression()
knn_base_rmse = base_knn_regression()
knn_bagged_rmse = bagged_knn_regression()
svr_base_rmse = base_svr_regression()
svr_bagged_rmse = bagged_svr_regression()
#List of Method Names
method_names = ['LR', 'DT', 'KNN', 'SVR']
#List of Base RMSE Values
base_rmse = [lr_base_rmse, dt_base_rmse, knn_base_rmse, svr_base_rmse]
#List of Bagged RMSE Values
bagged_rmse = [lr_bagged_rmse, dt_bagged_rmse, knn_bagged_rmse, svr_bagged_rmse]
#Initialize Lists for Base and Bagged RMSE Values
base = []
bagged = []
#Calculate P-Values
lr_pval = ttest_rel([lr_base_rmse], [lr_bagged_rmse]).pvalue
dt_pval = ttest_rel([dt_base_rmse], [dt_bagged_rmse]).pvalue
knn_pval = ttest_rel([knn_base_rmse], [knn_bagged_rmse]).pvalue
svr_pval = ttest_rel([svr_base_rmse], [svr_bagged_rmse]).pvalue
#Create Table
fig = make_subplots(rows=1, cols=1)
fig.add_trace(go.Table(
header=dict(values=['Method', 'LR', 'DT', 'KNN', 'SVR']),
cells=dict(values=[['Base', 'Bagged'],
[f"<b>{(lr_base_rmse):.4f}{'*' if lr_pval < 0.05 else ''}</b>" if lr_base_rmse < lr_bagged_rmse else round(lr_base_rmse, 4) if round(lr_base_rmse, 4) != round(lr_bagged_rmse, 4) else round(lr_base_rmse, 4) if lr_pval > 0.05 else f"{lr_base_rmse:.4f}*",
f"<b>{(lr_bagged_rmse):.4f}{'*' if lr_pval < 0.05 else ''}</b>" if lr_bagged_rmse < lr_base_rmse else round(lr_bagged_rmse, 4) if round(lr_base_rmse, 4) != round(lr_bagged_rmse, 4) else round(lr_bagged_rmse, 4) if lr_pval > 0.05 else f"{lr_bagged_rmse:.4f}*"],
[f"<b>{(dt_base_rmse):.4f}{'*' if dt_pval < 0.05 else ''}</b>" if dt_base_rmse < dt_bagged_rmse else round(dt_base_rmse, 4) if round(dt_base_rmse, 4) != round(dt_bagged_rmse, 4) else round(dt_base_rmse, 4) if dt_pval > 0.05 else f"{dt_base_rmse:.4f}*",
f"<b>{(dt_bagged_rmse):.4f}{'*' if dt_pval < 0.05 else ''}</b>" if dt_bagged_rmse < dt_base_rmse else round(dt_bagged_rmse, 4) if round(dt_base_rmse, 4) != round(dt_bagged_rmse, 4) else round(dt_bagged_rmse, 4) if dt_pval > 0.05 else f"{dt_bagged_rmse:.4f}*"],
[f"<b>{(knn_base_rmse):.4f}{'*' if knn_pval < 0.05 else ''}</b>" if knn_base_rmse < knn_bagged_rmse else round(knn_base_rmse, 4) if round(knn_base_rmse, 4) != round(knn_bagged_rmse, 4) else round(knn_base_rmse, 4) if knn_pval > 0.05 else f"{knn_base_rmse:.4f}*",
f"<b>{(knn_bagged_rmse):.4f}{'*' if knn_pval < 0.05 else ''}</b>" if knn_bagged_rmse < knn_base_rmse else round(knn_bagged_rmse, 4) if round(knn_base_rmse, 4) != round(knn_bagged_rmse, 4) else round(knn_bagged_rmse, 4) if knn_pval > 0.05 else f"{knn_bagged_rmse:.4f}*"],
[f"<b>{(svr_base_rmse):.4f}{'*' if svr_pval < 0.05 else ''}</b>" if svr_base_rmse < svr_bagged_rmse else round(svr_base_rmse, 4) if round(svr_base_rmse, 4) != round(svr_bagged_rmse, 4) else round(svr_base_rmse, 4) if svr_pval > 0.05 else f"{svr_base_rmse:.4f}",
f"<b>{(svr_bagged_rmse):.4f}{'' if svr_pval < 0.05 else ''}</b>" if svr_bagged_rmse < svr_base_rmse else round(svr_bagged_rmse, 4) if round(svr_base_rmse, 4) != round(svr_bagged_rmse, 4) else round(svr_bagged_rmse, 4) if svr_pval > 0.05 else f"{svr_bagged_rmse:.4f}*"]]
)
))
#Layout
fig.update_layout(title='RMSE Values for Regression Methods: Comparison of Base and Bagged Models',
font=dict(size=12),
height=400,
margin=dict(l=50, r=50, t=50, b=50))
#Show Figure in Browser
fig.show()
def taskTwo():
#Retrieve Base and Boosted RMSE values for Each Method
lr_base_rmse = base_lr_regression()
lr_boosted_rmse = boosted_lr_regression()
dt_base_rmse = base_dt_regression()
dt_boosted_rmse = boosted_dt_regression()
knn_base_rmse = base_knn_regression()
knn_boosted_rmse = boosted_knn_regression()
svr_base_rmse = base_svr_regression()
svr_boosted_rmse = boosted_svr_regression()
#List of Method Names
method_names = ['LR', 'DT', 'KNN', 'SVR']
#List of Base RMSE Values
base_rmse = [lr_base_rmse, dt_base_rmse, knn_base_rmse, svr_base_rmse]
#List of Boosted RMSE Values
boosted_rmse = [lr_boosted_rmse, dt_boosted_rmse, knn_boosted_rmse, svr_boosted_rmse]
#Initialize Lists for Base and Boosted RMSE Values
base = []
boosted = []
#Calculate P-Values
lr_pval = ttest_rel([lr_base_rmse], [lr_boosted_rmse]).pvalue
dt_pval = ttest_rel([dt_base_rmse], [dt_boosted_rmse]).pvalue
knn_pval = ttest_rel([knn_base_rmse], [knn_boosted_rmse]).pvalue
svr_pval = ttest_rel([svr_base_rmse], [svr_boosted_rmse]).pvalue
#Create Table
fig = make_subplots(rows=1, cols=1)
fig.add_trace(go.Table(
header=dict(values=['Method', 'LR', 'DT', 'KNN', 'SVR']),
cells=dict(values=[['Base', 'Boosted'],
[f"<b>{(lr_base_rmse):.4f}{'*' if lr_pval < 0.05 else ''}</b>" if lr_base_rmse < lr_boosted_rmse else round(lr_base_rmse, 4) if round(lr_base_rmse, 4) != round(lr_boosted_rmse, 4) else round(lr_base_rmse, 4) if lr_pval > 0.05 else f"{lr_base_rmse:.4f}*",
f"<b>{(lr_boosted_rmse):.4f}{'*' if lr_pval < 0.05 else ''}</b>" if lr_boosted_rmse < lr_base_rmse else round(lr_boosted_rmse, 4) if round(lr_base_rmse, 4) != round(lr_boosted_rmse, 4) else round(lr_boosted_rmse, 4) if lr_pval > 0.05 else f"{lr_boosted_rmse:.4f}*"],
[f"<b>{(dt_base_rmse):.4f}{'*' if dt_pval < 0.05 else ''}</b>" if dt_base_rmse < dt_boosted_rmse else round(dt_base_rmse, 4) if round(dt_base_rmse, 4) != round(dt_boosted_rmse, 4) else round(dt_base_rmse, 4) if dt_pval > 0.05 else f"{dt_base_rmse:.4f}*",
f"<b>{(dt_boosted_rmse):.4f}{'*' if dt_pval < 0.05 else ''}</b>" if dt_boosted_rmse < dt_base_rmse else round(dt_boosted_rmse, 4) if round(dt_base_rmse, 4) != round(dt_boosted_rmse, 4) else round(dt_boosted_rmse, 4) if dt_pval > 0.05 else f"{dt_boosted_rmse:.4f}*"],
[f"<b>{(knn_base_rmse):.4f}{'*' if knn_pval < 0.05 else ''}</b>" if knn_base_rmse < knn_boosted_rmse else round(knn_base_rmse, 4) if round(knn_base_rmse, 4) != round(knn_boosted_rmse, 4) else round(knn_base_rmse, 4) if knn_pval > 0.05 else f"{knn_base_rmse:.4f}*",
f"<b>{(knn_boosted_rmse):.4f}{'*' if knn_pval < 0.05 else ''}</b>" if knn_boosted_rmse < knn_base_rmse else round(knn_boosted_rmse, 4) if round(knn_base_rmse, 4) != round(knn_boosted_rmse, 4) else round(knn_boosted_rmse, 4) if knn_pval > 0.05 else f"{knn_boosted_rmse:.4f}*"],
[f"<b>{(svr_base_rmse):.4f}{'*' if svr_pval < 0.05 else ''}</b>" if svr_base_rmse < svr_boosted_rmse else round(svr_base_rmse, 4) if round(svr_base_rmse, 4) != round(svr_boosted_rmse, 4) else round(svr_base_rmse, 4) if svr_pval > 0.05 else f"{svr_base_rmse:.4f}",
f"<b>{(svr_boosted_rmse):.4f}{'' if svr_pval < 0.05 else ''}</b>" if svr_boosted_rmse < svr_base_rmse else round(svr_boosted_rmse, 4) if round(svr_base_rmse, 4) != round(svr_boosted_rmse, 4) else round(svr_boosted_rmse, 4) if svr_pval > 0.05 else f"{svr_boosted_rmse:.4f}*"]]
)
))
#Layout
fig.update_layout(title='RMSE Values for Regression Methods: Comparison of Base and Boosted Models',
font=dict(size=12),
height=400,
margin=dict(l=50, r=50, t=50, b=50))
#Show Figure in Browser
fig.show()
def taskThree():
#Retrieve Base and Voting Ensemble RMSE values for Each Method
lr_base_rmse = base_lr_regression()
lr_ensemble_rmse = ensemble_lr_regression()
dt_base_rmse = base_dt_regression()
dt_ensemble_rmse = ensemble_dt_regression()
knn_base_rmse = base_knn_regression()
knn_ensemble_rmse = ensemble_knn_regression()
svr_base_rmse = base_svr_regression()
svr_ensemble_rmse = ensemble_svr_regression()
#List of Method Names
method_names = ['LR', 'DT', 'KNN', 'SVR']
#List of Base RMSE Values
base_rmse = [lr_base_rmse, dt_base_rmse, knn_base_rmse, svr_base_rmse]
#List of Voting Ensemble RMSE Values
ensemble_rmse = [lr_ensemble_rmse, dt_ensemble_rmse, knn_ensemble_rmse, svr_ensemble_rmse]
#Initialize Lists for Base and Voting Ensemble RMSE Values
base = []
ensemble = []
#Calculate P-Values
lr_pval = ttest_rel([lr_base_rmse], [lr_ensemble_rmse]).pvalue
dt_pval = ttest_rel([dt_base_rmse], [dt_ensemble_rmse]).pvalue
knn_pval = ttest_rel([knn_base_rmse], [knn_ensemble_rmse]).pvalue
svr_pval = ttest_rel([svr_base_rmse], [svr_ensemble_rmse]).pvalue
#Create Table
fig = make_subplots(rows=1, cols=1)
fig.add_trace(go.Table(
header=dict(values=['Method', 'LR', 'DT', 'KNN', 'SVR']),
cells=dict(values=[['Base', 'Voted Ensemble'],
[f"<b>{(lr_base_rmse):.4f}{'*' if lr_pval < 0.05 else ''}</b>" if lr_base_rmse < lr_ensemble_rmse else round(lr_base_rmse, 4) if round(lr_base_rmse, 4) != round(lr_ensemble_rmse, 4) else round(lr_base_rmse, 4) if lr_pval > 0.05 else f"{lr_base_rmse:.4f}*",
f"<b>{(lr_ensemble_rmse):.4f}{'*' if lr_pval < 0.05 else ''}</b>" if lr_ensemble_rmse < lr_base_rmse else round(lr_ensemble_rmse, 4) if round(lr_base_rmse, 4) != round(lr_ensemble_rmse, 4) else round(lr_ensemble_rmse, 4) if lr_pval > 0.05 else f"{lr_ensemble_rmse:.4f}*"],
[f"<b>{(dt_base_rmse):.4f}{'*' if dt_pval < 0.05 else ''}</b>" if dt_base_rmse < dt_ensemble_rmse else round(dt_base_rmse, 4) if round(dt_base_rmse, 4) != round(dt_ensemble_rmse, 4) else round(dt_base_rmse, 4) if dt_pval > 0.05 else f"{dt_base_rmse:.4f}*",
f"<b>{(dt_ensemble_rmse):.4f}{'*' if dt_pval < 0.05 else ''}</b>" if dt_ensemble_rmse < dt_base_rmse else round(dt_ensemble_rmse, 4) if round(dt_base_rmse, 4) != round(dt_ensemble_rmse, 4) else round(dt_ensemble_rmse, 4) if dt_pval > 0.05 else f"{dt_ensemble_rmse:.4f}*"],
[f"<b>{(knn_base_rmse):.4f}{'*' if knn_pval < 0.05 else ''}</b>" if knn_base_rmse < knn_ensemble_rmse else round(knn_base_rmse, 4) if round(knn_base_rmse, 4) != round(knn_ensemble_rmse, 4) else round(knn_base_rmse, 4) if knn_pval > 0.05 else f"{knn_base_rmse:.4f}*",
f"<b>{(knn_ensemble_rmse):.4f}{'*' if knn_pval < 0.05 else ''}</b>" if knn_ensemble_rmse < knn_base_rmse else round(knn_ensemble_rmse, 4) if round(knn_base_rmse, 4) != round(knn_ensemble_rmse, 4) else round(knn_ensemble_rmse, 4) if knn_pval > 0.05 else f"{knn_ensemble_rmse:.4f}*"],
[f"<b>{(svr_base_rmse):.4f}{'*' if svr_pval < 0.05 else ''}</b>" if svr_base_rmse < svr_ensemble_rmse else round(svr_base_rmse, 4) if round(svr_base_rmse, 4) != round(svr_ensemble_rmse, 4) else round(svr_base_rmse, 4) if svr_pval > 0.05 else f"{svr_base_rmse:.4f}",
f"<b>{(svr_ensemble_rmse):.4f}{'' if svr_pval < 0.05 else ''}</b>" if svr_ensemble_rmse < svr_base_rmse else round(svr_ensemble_rmse, 4) if round(svr_base_rmse, 4) != round(svr_ensemble_rmse, 4) else round(svr_ensemble_rmse, 4) if svr_pval > 0.05 else f"{svr_ensemble_rmse:.4f}*"]]
)
))
#Layout
fig.update_layout(title='RMSE Values for Regression Methods: Comparison of Base and Voted Ensemble Models',
font=dict(size=12),
height=400,
margin=dict(l=50, r=50, t=50, b=50))
#Show Figure in Browser
fig.show()