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出版时间:2010-10-08

出版社:高等教育出版社

以下为《High-Dimensional Data Analysis 高维数据分析》的配套数字资源,这些资源在您购买图书后将免费附送给您:
  • 高等教育出版社
  • 9787040298512
  • 1
  • 253474
  • 精装
  • 16开
  • 2010-10-08
  • 300
  • 307
  • 理学
  • 统计学
内容简介

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