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Grant Details

Grant Number: 5R01CA072028-03 Interpret this number
Primary Investigator: Johnstone, Iain
Organization: Stanford University
Project Title: New Statistical Methods for Medical Signals and Images
Fiscal Year: 1998


Abstract

DESCRIPTION: (Adapted from the applicant's abstract): Medical and biological data often come in the form of digitized signals and images, for example magnetic resonance images (MRI), ion channel electrical series, and human gait paths. As data acquisition becomes easier, sequences of such images or signals are collected, often along with other covariate measurements, resulting in data sets where the basic unit of measurement or response is a high dimensional object. This project proposes a battery of statistical techniques for modeling and understanding such data, that explicitly takes into account and indeed exploits the inherent, spatial, or temporal correlation, and when appropriate, relates it to covariate information. By imposing spatial smoothness in the image or signal domain, pixel-wise regression, and canonical correlation models can borrow strength from neighboring pixels. This not only improves the overall efficiency of these techniques, but also allows identification of important regions rather than individual pixels. The project develops appropriate versions of nonparametric regressions for such series of images, as well as data descriptions such as clustering, principal component, and singular value decomposition models. In many cases, wavelets will be used to achieve spatial smoothness. In the case of ion channel data, the models are used to isolate particular weak high frequency components from correlated noise. Much of this work will be carried out in collaboration with radiologists, physiologists, and other biomedical researchers working on cancer, heart disease and stroke, brain mapping, and gait analysis.



Publications

Cell type-specific gene expression differences in complex tissues.
Authors: Shen-Orr S.S. , Tibshirani R. , Khatri P. , Bodian D.L. , Staedtler F. , Perry N.M. , Hastie T. , Sarwal M.M. , Davis M.M. , Butte A.J. .
Source: Nature Methods, 2010 Apr; 7(4), p. 287-9.
PMID: 20208531
Related Citations

A penalized matrix decomposition, with applications to sparse principal components and canonical correlation analysis.
Authors: Witten D.M. , Tibshirani R. , Hastie T. .
Source: Biostatistics (oxford, England), 2009 Jul; 10(3), p. 515-34.
PMID: 19377034
Related Citations

MULTIVARIATE ANALYSIS AND JACOBI ENSEMBLES: LARGEST EIGENVALUE, TRACY-WIDOM LIMITS AND RATES OF CONVERGENCE.
Authors: Johnstone I.M. .
Source: Annals Of Statistics, 2008-12-01 00:00:00.0; 36(6), p. 2638.
PMID: 20157626
Related Citations

Sparse inverse covariance estimation with the graphical lasso.
Authors: Friedman J. , Hastie T. , Tibshirani R. .
Source: Biostatistics (oxford, England), 2008 Jul; 9(3), p. 432-41.
PMID: 18079126
Related Citations

Penalized logistic regression for detecting gene interactions.
Authors: Park M.Y. , Hastie T. .
Source: Biostatistics (oxford, England), 2008 Jan; 9(1), p. 30-50.
PMID: 17429103
Related Citations

Averaged gene expressions for regression.
Authors: Park M.Y. , Hastie T. , Tibshirani R. .
Source: Biostatistics (oxford, England), 2007 Apr; 8(2), p. 212-27.
PMID: 16698769
Related Citations

Hybrid hierarchical clustering with applications to microarray data.
Authors: Chipman H. , Tibshirani R. .
Source: Biostatistics (oxford, England), 2006 Apr; 7(2), p. 286-301.
PMID: 16301308
Related Citations

Classification of gene microarrays by penalized logistic regression.
Authors: Zhu J. , Hastie T. .
Source: Biostatistics (oxford, England), 2004 Jul; 5(3), p. 427-43.
PMID: 15208204
Related Citations

Diagnosis of multiple cancer types by shrunken centroids of gene expression.
Authors: Tibshirani R. , Hastie T. , Narasimhan B. , Chu G. .
Source: Proceedings Of The National Academy Of Sciences Of The United States Of America, 2002-05-14 00:00:00.0; 99(10), p. 6567-72.
PMID: 12011421
Related Citations

Missing value estimation methods for DNA microarrays.
Authors: Troyanskaya O. , Cantor M. , Sherlock G. , Brown P. , Hastie T. , Tibshirani R. , Botstein D. , Altman R.B. .
Source: Bioinformatics (oxford, England), 2001 Jun; 17(6), p. 520-5.
PMID: 11395428
Related Citations

Regression analysis of multiple protein structures.
Authors: Wu T.D. , Schmidler S.C. , Hastie T. , Brutlag D.L. .
Source: Journal Of Computational Biology : A Journal Of Computational Molecular Cell Biology, 1998 Fall; 5(3), p. 585-95.
PMID: 9773352
Related Citations

Modeling and superposition of multiple protein structures using affine transformations: analysis of the globins.
Authors: Wu T.D. , Schmidler S.C. , Hastie T. , Brutlag D.L. .
Source: Pacific Symposium On Biocomputing. Pacific Symposium On Biocomputing, 1998; , p. 509-20.
PMID: 9697208
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