基於樹的集成方法在房屋銷售價格預測中的應用

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李思娜(Intan Lisnawati) 查詢紙本館藏

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數學系

論文名稱

基於樹的集成方法在房屋銷售價格預測中的應用
(Tree-Based Ensemble Methods with an Application in House Sale Price Prediction)

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摘要(中)

给定一些输入，我们想要对相应的输出进行预测。为了对单个估计器做出更好的预测，集成方法结合了使用给定学习算法构建的几个基本估计器的预测。还可以调整每种方法的参数，以使真实值和预测值之间的差距更小。通过使用房屋销售价格训练数据集，我们应用一些集成方法来预测看不见的房屋销售价格数据集，并根据它们的均方根误差(RMSE) 值查看准确性。结果表明，Gradient Boosting 给出的RMSE 最小，为22,766 美元，同时随机森林为23,269 美元，XGBoost 为24,069 美元，决策树为35,637 美元

摘要(英)

Given some input, we want to make a prediction for the correspond- ing output. In order to make a better prediction over a single estimator, ensemble methods combine the predictions of several base estimators built with a given learning algorithm. Each method’s parameter also can be adjusted in order to get a closer gap between the real and the predicted value. By using House Sale Price training data set, we apply some ensem- ble methods to predict the unseen House Sale Price data set and see the accuracy based on their Root Mean Squared Error (RMSE) value. It shows that Gradient Boosting gives the smallest RMSE, US$ 22,766, meanwhile Random Forest US$ 23,269, XGBoost US$ 24,069, and Decision Tree US$ 35,637.

關鍵字(中)

★ 预测
★ 合奏法
★ 基础学习者
★ 损失函数

關鍵字(英)

★ prediction
★ ensemble method
★ base learner
★ loss function

論文目次

Abstract vi
Acknowledgement vii
Table of contents ix
List of Tables x
List of Figures xii
1 Introduction 1
1.1 Background 1
1.2 TheFounders 2
1.3 Goals 5
2 Decision Trees 5
2.1 DecisionTreesTerminology 5
2.2 RoughIdea 6
2.3 MathematicalFormulation 10
2.4 SimpleSimulation 12
3 Ensemble Methods 15
3.1 RandomForests 15
3.1.1 RoughIdea 15
3.1.2 Bootstrapping 15
3.1.3 RandomForestsAlgorithm 16
3.1.4 SimpleSimulation 17
3.2 GradientBoosting 18
3.2.1 RoughIdea 18
3.2.2 Gradient Points in The Direction of Maximum Increase 19
3.2.3 SimpleSimulation 21
3.2.4 Plugging Base Learner in Gradient Boosting 26
3.2.5 Gradient Boosting Algorithm 28
3.3 XGBoos 29
3.3.1 RoughIdea 29
3.3.2 XGBoostAlgorithm 35
4 Numerical Simulations 37
4.1 DataPreprocessing 37
4.1.1 About Ames 37
4.1.2 Exploratory Data Analysis 37
4.1.3 Feature Selection 41
4.2 The Benchmark 45
4.3 Numerical Simulation by using Decision Tree 47
4.3.1 The Tree’s Appearancein A DecisionTree 49
4.4 Numerical Simulation by using Random Forests 50
4.4.1 The Tree’s Appearance in Random Forests 52
4.5 Numerical Simulation by using Gradient Boosting 54
4.5.1 The Tree’s Appearance in Gradient Boosting 58
4.6 Numerical Simulation by using XGBoost 60
4.6.1 The Tree’s Appearance in XGBoost 63
5 Conclusion 65
References 66

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指導教授

須上苑(Shang-Yuan Shiu)

審核日期

2022-9-30

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