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Sufficient Dimension Reduction - Methods and Applications with R (Paperback)
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Sufficient Dimension Reduction - Methods and Applications with R (Paperback)
Series: Chapman & Hall/CRC Monographs on Statistics and Applied Probability
Expected to ship within 12 - 17 working days
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Sufficient dimension reduction is a rapidly developing research
field that has wide applications in regression diagnostics, data
visualization, machine learning, genomics, image processing,
pattern recognition, and medicine, because they are fields that
produce large datasets with a large number of variables. Sufficient
Dimension Reduction: Methods and Applications with R introduces the
basic theories and the main methodologies, provides practical and
easy-to-use algorithms and computer codes to implement these
methodologies, and surveys the recent advances at the frontiers of
this field. Features Provides comprehensive coverage of this
emerging research field. Synthesizes a wide variety of dimension
reduction methods under a few unifying principles such as
projection in Hilbert spaces, kernel mapping, and von Mises
expansion. Reflects most recent advances such as nonlinear
sufficient dimension reduction, dimension folding for tensorial
data, as well as sufficient dimension reduction for functional
data. Includes a set of computer codes written in R that are easily
implemented by the readers. Uses real data sets available online to
illustrate the usage and power of the described methods. Sufficient
dimension reduction has undergone momentous development in recent
years, partly due to the increased demands for techniques to
process high-dimensional data, a hallmark of our age of Big Data.
This book will serve as the perfect entry into the field for the
beginning researchers or a handy reference for the advanced ones.
The author Bing Li obtained his Ph.D. from the University of
Chicago. He is currently a Professor of Statistics at the
Pennsylvania State University. His research interests cover
sufficient dimension reduction, statistical graphical models,
functional data analysis, machine learning, estimating equations
and quasilikelihood, and robust statistics. He is a fellow of the
Institute of Mathematical Statistics and the American Statistical
Association. He is an Associate Editor for The Annals of Statistics
and the Journal of the American Statistical Association.
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