文档介绍:cognitive neuroscience/psychology
PONENT ANALYSIS A Tutorial Introduction James V. Stone
PONENT ANALYSIS
ponent analysis (ICA) is ing an increasingly important tool for analyzing large data sets. In
essence, ICA separates an observed set of signal mixtures into a set of statistically ponent signals, PONENT ANALYSIS
or source signals. In so doing, this powerful method can extract the relatively small amount of useful information typ-
ically found in large data sets. The applications for ICA range from speech processing, brain imaging, and electrical A Tutorial Introduction James V. Stone
brain signals to munications and stock predictions.
In ponent Analysis, Jim Stone presents the essentials of ICA and related techniques (projection
pursuit plexity pursuit) in a tutorial style, using intuitive examples described in simple geometric terms. The
treatment fills the need for a basic primer on ICA that can be used by readers of varying levels of mathematical so-
phistication, including engineers, cognitive scientists, and neuroscientists who need to know the essentials of this
evolving method.
An overview establishes the strategy implicit in ICA in terms of its essentially physical underpinnings and de-
scribes how ICA is based on the key observation that different physical processes generate outputs that are statisti-
cally independent of each other. The book then describes what Stone calls “the mathematical nuts and bolts” of how
ICA works. Presenting only essential mathematical proofs, Stone guides the reader through an exploration of the fun-
damental characteristics of ICA.
Topics covered include the geometry of mixing and unmixing; methods for blind source separation; and appli-
cations of ICA, including voice mixtures, EEG, fMRI, and fetal heart monitoring. The appendixes provide a vector ma-
trix tutorial, plus basic puter code that allows the reader to see how each mathematical method
described in the text translates in