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高维数据分析 (英文版)


作者:
蔡天文 沈晓桐
定价:
68.00 元
版面字数:
300.00千字
开本:
16开
装帧形式:
精装
页数:
307
最新
印次时间:
暂无
ISBN:
978-7-04-029851-2
物料号:
29851-00
出版时间:
2010-10-08
读者对象:
学术著作
一级分类:
自然科学
二级分类:
统计学
三级分类:
统计理论和方法

Over the last few years, significant developments have been taking place in high-dimensional data analysis, driven primarily by a wide range of applications in many fields such as genomics and signal processing. in particular, substantial advances have been made in the areas of feature selection, covariance estimation,classification and regression. this book intends to examine important issues arising from high-dimensional data analysis to explore key ideas for statistical inference and prediction.

It is structured around topics on multiple hypothesis testing, feature selection, regression, classification, dimension reduction, as well as applications in survival analysis and biomedical research.

The book will appeal to graduate students and new researchers interested in the plethora of opportunities available in highdimensional data analysis.

  • 目录
    • Front Matter
      • Part I High-Dimensional Classication
        • Chapter 1 High-Dimensional Classication
          • Jianqing Fan, Yingying Fan and Yichao Wu
            • 1 Introduction
              • 2 Elements of classications
                • 3 Impact of dimensionality on classication
                  • 4 Distance-based classication Rules
                    • 5 Feature selection by independence rule
                      • 6 Loss-based classication
                        • 7 Feature selection in loss-based classication
                          • 8 Multi-category classication
                            • References
                            • Chapter 2 Flexible Large Margin Classiers
                              • Yufeng Liu and Yichao Wu
                                • 1 Background on classication
                                  • 2 The support vector machine: the margin formulation and
                                    • the SV interpretation
                                      • 3 Regularization framework
                                        • 4 Some extensions of the SVM: Bounded constraint machine
                                          • and the balancing SVM
                                            • 5 Multicategory classiers
                                              • 6 Probability estimation
                                                • 7 Conclusions and discussions
                                                  • References
                                                  • Part II Large-Scale Multiple Testing
                                                    • Chapter 3 A Compound Decision-Theoretic Approach to Large-Scale Multiple Testing
                                                      • T. Tony Cai and Wenguang Sun
                                                        • 1 Introduction
                                                          • 2 FDR controlling procedures based on p-values
                                                            • 3 Oracle and adaptive compound decision rules for FDR control
                                                              • 4 Simultaneous testing of grouped hypotheses
                                                                • 5 Large-scale multiple testing under dependence
                                                                  • 6 Open problems
                                                                    • References
                                                                    • Part III Model Building with Variable Selection
                                                                      • Chapter 4 Model Building with Variable Selection
                                                                        • Ming Yuan
                                                                          • 1 Introduction
                                                                            • 2 Why variable selection
                                                                              • 3 Classical approaches
                                                                                • 4 Bayesian and stochastic search
                                                                                  • 5 Regularization
                                                                                    • 6 Towards more interpretable models
                                                                                      • 7 Further readings
                                                                                        • References
                                                                                        • Chapter 5 Bayesian Variable Selection in Regressionwith Networked Predictors
                                                                                          • Feng Tai, Wei Pan and Xiaotong Shen
                                                                                            • 1 Introduction
                                                                                              • 2 Statistical models
                                                                                                • 3 Estimation
                                                                                                  • 4 Results
                                                                                                    • 5 Discussion
                                                                                                      • References
                                                                                                      • Part IV High-Dimensional Statistics in Genomics
                                                                                                        • Chapter 6 High-Dimensional Statistics in Genomics
                                                                                                          • Hongzhe Li
                                                                                                            • 1 Introduction
                                                                                                              • 2 Identication of active transcription factors using
                                                                                                                • time-course gene expression data
                                                                                                                  • 3 Methods for analysis of genomic data with a graphical structure
                                                                                                                    • 4 Statistical methods in eQTL studies
                                                                                                                      • 5 Discussion and future direction
                                                                                                                        • References
                                                                                                                        • Chapter 7 An Overview on Joint Modeling of Censored Survival Time and Longitudinal Data
                                                                                                                          • Runze Li and Jian-Jian Ren
                                                                                                                            • 1 Introduction
                                                                                                                              • 2 Survival data with longitudinal covariates
                                                                                                                                • 3 Joint modeling with right censored data
                                                                                                                                  • 4 Joint modeling with interval censored data
                                                                                                                                    • 5 Further studies
                                                                                                                                      • References
                                                                                                                                      • Part V Analysis of Survival and Longitudinal Data
                                                                                                                                        • Chapter 8 Survival Analysis with High-Dimensional Covariates
                                                                                                                                          • Bin Nan
                                                                                                                                            • 1 Introduction
                                                                                                                                              • 2 Regularized Cox regression
                                                                                                                                                • 3 Hierarchically penalized Cox regression with grouped variables
                                                                                                                                                  • 4 Regularized methods for the accelerated failure time model
                                                                                                                                                    • 5 Tuning parameter selection and a concluding remark
                                                                                                                                                      • References
                                                                                                                                                      • Part VI Sucient Dimension Reduction in Regression
                                                                                                                                                        • Chapter 9 Sucient Dimension Reduction in Regression
                                                                                                                                                          • Xiangrong Yin
                                                                                                                                                            • 1 Introduction
                                                                                                                                                              • 2 Sucient dimension reduction in regression
                                                                                                                                                                • 3 Sucient variable selection (SVS)
                                                                                                                                                                  • 4 SDR for correlated data and large-p-small-n
                                                                                                                                                                    • 5 Further discussion
                                                                                                                                                                      • References
                                                                                                                                                                      • Chapter 10 Combining Statistical Procedures
                                                                                                                                                                        • Lihua Chen and Yuhong Yang
                                                                                                                                                                          • 1 Introduction
                                                                                                                                                                            • 2 Combining for adaptation
                                                                                                                                                                              • 3 Combining procedures for improvement
                                                                                                                                                                                • 4 Concluding remarks
                                                                                                                                                                                  • References
                                                                                                                                                                                  • Subject Index
                                                                                                                                                                                    • Author Index
                                                                                                                                                                                      • 版权

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