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Statistical Analysis for High-Dimensional Data: The Abel Symposium 2014

✍ Scribed by Arnoldo Frigessi, Peter Bühlmann, Ingrid K. Glad, Mette Langaas, Sylvia Richardson, Marina Vannucci (eds.)


Publisher
Springer International Publishing
Year
2016
Tongue
English
Leaves
313
Series
Abel Symposia 11
Edition
1
Category
Library

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✦ Synopsis


This book features research contributions from The Abel Symposium on Statistical Analysis for High Dimensional Data, held in NyvΓ₯gar, Lofoten, Norway, in May 2014.

The focus of the symposium was on statistical and machine learning methodologies specifically developed for inference in β€œbig data” situations, with particular reference to genomic applications. The contributors, who are among the most prominent researchers on the theory of statistics for high dimensional inference, present new theories and methods, as well as challenging applications and computational solutions. Specific themes include, among others, variable selection and screening, penalised regression, sparsity, thresholding, low dimensional structures, computational challenges, non-convex situations, learning graphical models, sparse covariance and precision matrices, semi- and non-parametric formulations, multiple testing, classification, factor models, clustering, and preselection.

Highlighting cutting-edge research and casting light on future research directions, the contributions will benefit graduate students and researchers in computational biology, statistics and the machine learning community.

✦ Table of Contents


Front Matter....Pages i-xii
Some Themes in High-Dimensional Statistics....Pages 1-13
Laplace Approximation in High-Dimensional Bayesian Regression....Pages 15-36
Preselection in Lasso-Type Analysis for Ultra-High Dimensional Genomic Exploration....Pages 37-66
Spectral Clustering and Block Models: A Review and a New Algorithm....Pages 67-90
Bayesian Hierarchical Mixture Models....Pages 91-103
iBATCGH: Integrative Bayesian Analysis of Transcriptomic and CGH Data....Pages 105-123
Models of Random Sparse Eigenmatrices and Bayesian Analysis of Multivariate Structure....Pages 125-153
Combining Single and Paired End RNA-seq Data for Differential Expression Analyses....Pages 155-188
An Imputation Method for Estimating the Learning Curve in Classification Problems....Pages 189-209
Bayesian Feature Allocation Models for Tumor Heterogeneity....Pages 211-232
Bayesian Penalty Mixing: The Case of a Non-separable Penalty....Pages 233-254
Confidence Intervals for Maximin Effects in Inhomogeneous Large-Scale Data....Pages 255-277
Ο‡ 2-Confidence Sets in High-Dimensional Regression....Pages 279-306

✦ Subjects


Computational Mathematics and Numerical Analysis; Statistical Theory and Methods; Bioinformatics; Statistics and Computing/Statistics Programs; Statistics for Life Sciences, Medicine, Health Sciences; Statistics for Engineering, Physics,


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