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高维数据分析 英文
  • 蔡天文，沈晓桐编 著
  • 出版社： 北京：高等教育出版社
  • ISBN：9787040298512
  • 出版时间：2010
  • 标注页数：307页
  • 文件大小：16MB
  • 文件页数：316页
  • 主题词：统计数据－统计分析(数学)－文集－英文

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图书目录

Part Ⅰ High-Dimensional Classification3

Chapter 1 High-Dimensional Classification&Jianqing Fan,Yingying Fan and Yichao Wu3

1 Introduction3

2 Elements of classifications4

3 Impact of dimensionality on classification8

4 Distance-based classification Rules14

5 Feature selection by independence rule20

6 Loss-based classification24

7 Feature selection in loss-based classification27

8 Multi-category classification31

References34

Chapter 2 Flexible Large Margin Classifiers&Yufeng Liu and Yichao Wu39

1 Background on classification39

2 The support vector machine:the margin formulation and the SV interpretation40

3 Regularization framework45

4 Some extensions of the SVM:Bounded constraint machine and the balancing SVM48

5 Multicategory classifiers51

6 Probability estimation62

7 Conclusions and discussions66

References67

Part Ⅱ Large-Scale Multiple Testing75

Chapter 3 A Compound Decision-Theoretic Approach to Large-Scale Multiple Testing&T Tony Cai and Wenguang Sun75

1 Introduction75

2 FDR controlling procedures based on p-values79

3 Oracle and adaptive compound decision rules for FDR control82

4 Simultaneous testing of grouped hypotheses93

5 Large-scale multiple testing under dependence102

6 Open problems111

References112

Part Ⅲ Model Building with Variable Selection119

Chapter 4 Model Building with Variable Selection&Ming Yuan119

1 Introduction119

2 Why variable selection120

3 Classical approaches121

4 Bayesian and stochastic search125

5 Regularization128

6 Towards more interpretable models134

7 Further readings141

References142

Chapter 5 Bayesian Variable Selection in Regression with Networked Predictors&Feng Tai,Wei Pan and Xiaotong Shen147

1 Introduction147

2 Statistical models149

3 Estimation152

4 Results154

5 Discussion162

References163

Part Ⅳ High-Dimensional Statistics in Genomics169

Chapter 6 High-Dimensional Statistics in Genomics&Hongzhe Li169

1 Introduction169

2 Identification of active transcription factors using time-course gene expression data173

3 Methods for analysis of genomic data with a graphical structure178

4 Statistical methods in eQTL studies182

5 Discussion and future direction187

References188

Chapter 7 An Overview on Joint Modeling of Censored Survival Time and Longitudinal Data&Runze Li and Jian-Jian Ren195

1 Introduction195

Chapter 9 Sufficient Dimension Reduction in Regression&Xiangrong Yin257

1 Instroduction257

2 Sufficient Dimension reduction in regression258

3 Sufficient variable selection(SVS)265

4 SDR for correlated data and large-p-small-n266

5 Further discussion267

Chapter 10 Combining Statistical Procedures&Lihua Chen and Yuhong Yang275

1 Introduction275

2 Combining for adaptation279

3 Combining procedures for improvement288

4 Concluding remarks294

References295

Subject Index299

Author Index301

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