A flexible class of priors for orthonormal matrices with basis function-specific structure

North, Joshua S.; Risser, Mark D.; Breidt, F. Jay

doi:10.1016/j.spasta.2024.100866

Title: A flexible class of priors for orthonormal matrices with basis function-specific structure

Journal Article · 01 December 2024 · Spatial Statistics

DOI: https://doi.org/10.1016/j.spasta.2024.100866 · OSTI ID:2476879

; Risser, Mark D.; Breidt, F. Jay

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Sponsoring Organization:: USDOE Office of Science (SC), Biological and Environmental Research (BER)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 2476879

Journal Information:: Spatial Statistics, Journal Name: Spatial Statistics Journal Issue: C Vol. 64; ISSN 2211-6753

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

References (51)

Restricted spatial regression in practice: geostatistical models, confounding, and robustness under model misspecification Hanks, Ephraim M.; Schliep, Erin M.; Hooten, Mevin B. Environmetrics, Vol. 26, Issue 4 https://doi.org/10.1002/env.2331	journal	February 2015
Empirical orthogonal functions and related techniques in atmospheric science: A review Hannachi, A.; Jolliffe, I. T.; Stephenson, D. B. International Journal of Climatology, Vol. 27, Issue 9 https://doi.org/10.1002/joc.1499	journal	January 2007
The ERA5 global reanalysis Hersbach, Hans; Bell, Bill; Berrisford, Paul Quarterly Journal of the Royal Meteorological Society, Vol. 146, Issue 730 https://doi.org/10.1002/qj.3803	journal	June 2020
Singular value decomposition of noisy data: noise filtering Epps, Brenden P.; Krivitzky, Eric M. Experiments in Fluids, Vol. 60, Issue 8 https://doi.org/10.1007/s00348-019-2768-4	journal	July 2019
North American extreme temperature events and related large scale meteorological patterns: a review of statistical methods, dynamics, modeling, and trends Grotjahn, Richard; Black, Robert; Leung, Ruby Climate Dynamics, Vol. 46, Issue 3-4 https://doi.org/10.1007/s00382-015-2638-6	journal	May 2015
The Bayesian Group Lasso for Confounded Spatial Data Hefley, Trevor J.; Hooten, Mevin B.; Hanks, Ephraim M. Journal of Agricultural, Biological and Environmental Statistics, Vol. 22, Issue 1 https://doi.org/10.1007/s13253-016-0274-1	journal	January 2017
Sparse principal component analysis via regularized low rank matrix approximation Shen, Haipeng; Huang, Jianhua Z. Journal of Multivariate Analysis, Vol. 99, Issue 6 https://doi.org/10.1016/j.jmva.2007.06.007	journal	July 2008
Group-PCA for very large fMRI datasets Smith, Stephen M.; Hyvärinen, Aapo; Varoquaux, Gaël NeuroImage, Vol. 101 https://doi.org/10.1016/j.neuroimage.2014.07.051	journal	November 2014
Directional data analysis under the general projected normal distribution Wang, Fangpo; Gelfand, Alan E. Statistical Methodology, Vol. 10, Issue 1 https://doi.org/10.1016/j.stamet.2012.07.005	journal	January 2013
The Pacific Decadal Oscillation Mantua, Nathan J.; Hare, Steven R. Journal of Oceanography, Vol. 58, Issue 1, p. 35-44 https://doi.org/10.1023/A:1015820616384	journal	January 2002
Anthropogenic Contributions to the 2021 Pacific Northwest Heatwave Bercos‐Hickey, Emily; O’Brien, Travis A.; Wehner, Michael F. Geophysical Research Letters, Vol. 49, Issue 23 https://doi.org/10.1029/2022GL099396	journal	December 2022
Evaluating the use of exploratory factor analysis in psychological research. Fabrigar, Leandre R.; Wegener, Duane T.; MacCallum, Robert C. Psychological Methods, Vol. 4, Issue 3 https://doi.org/10.1037/1082-989X.4.3.272	journal	September 1999
Analysis of a complex of statistical variables into principal components. Hotelling, H. Journal of Educational Psychology, Vol. 24, Issue 6 https://doi.org/10.1037/h0071325	journal	January 1933
On Deconfounding Spatial Confounding in Linear Models Zimmerman, Dale L.; Ver Hoef, Jay M. The American Statistician, Vol. 76, Issue 2 https://doi.org/10.1080/00031305.2021.1946149	journal	July 2021
Cross-Validatory Estimation of the Number of Components in Factor and Principal Components Models Wold, Svante Technometrics, Vol. 20, Issue 4 https://doi.org/10.1080/00401706.1978.10489693	journal	November 1978
Bayesian Variable Selection in Linear Regression Mitchell, T. J.; Beauchamp, J. J. Journal of the American Statistical Association, Vol. 83, Issue 404 https://doi.org/10.1080/01621459.1988.10478694	journal	December 1988
Modeling Space and Space-Time Directional Data Using Projected Gaussian Processes Wang, Fangpo; Gelfand, Alan E. Journal of the American Statistical Association, Vol. 109, Issue 508 https://doi.org/10.1080/01621459.2014.934454	journal	October 2014
Regularized Principal Component Analysis for Spatial Data Wang, Wen-Ting; Huang, Hsin-Cheng Journal of Computational and Graphical Statistics, Vol. 26, Issue 1 https://doi.org/10.1080/10618600.2016.1157483	journal	January 2017
Monte Carlo Simulation on the Stiefel Manifold via Polar Expansion Jauch, Michael; Hoff, Peter D.; Dunson, David B. Journal of Computational and Graphical Statistics, Vol. 30, Issue 3 https://doi.org/10.1080/10618600.2020.1859382	journal	February 2021
Principal Component Analysis with Noisy and/or Missing Data Bailey, Stephen Publications of the Astronomical Society of the Pacific, Vol. 124, Issue 919 https://doi.org/10.1086/668105	journal	September 2012
Physics-Enhanced PCA for Data Compression in Edge Devices Chen, Qianyi; Cao, Jiannong; Xia, Yong IEEE Transactions on Green Communications and Networking, Vol. 6, Issue 3 https://doi.org/10.1109/TGCN.2022.3171681	journal	September 2022
Dynamic models for spatiotemporal data Stroud, Jonathan R.; Muller, Peter; Sanso, Bruno Journal of the Royal Statistical Society: Series B (Statistical Methodology), Vol. 63, Issue 4 https://doi.org/10.1111/1467-9868.00305	journal	November 2001
Fixed rank kriging for very large spatial data sets: Fixed Rank Kriging Cressie, Noel; Johannesson, Gardar Journal of the Royal Statistical Society: Series B (Statistical Methodology), Vol. 70, Issue 1 https://doi.org/10.1111/j.1467-9868.2007.00633.x	journal	January 2008
Effects of Residual Smoothing on the Posterior of the Fixed Effects in Disease‐Mapping Models Reich, Brian J.; Hodges, James S.; Zadnik, Vesna Biometrics, Vol. 62, Issue 4 https://doi.org/10.1111/j.1541-0420.2006.00617.x	journal	August 2006
Geodesic Monte Carlo on Embedded Manifolds: Geodesic Monte Carlo Byrne, Simon; Girolami, Mark Scandinavian Journal of Statistics, Vol. 40, Issue 4 https://doi.org/10.1111/sjos.12036	journal	September 2013
Calculating the Singular Values and Pseudo-Inverse of a Matrix Golub, G.; Kahan, W. Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis, Vol. 2, Issue 2 https://doi.org/10.1137/0702016	journal	January 1965
Accurate Singular Values of Bidiagonal Matrices Demmel, James; Kahan, W. SIAM Journal on Scientific and Statistical Computing, Vol. 11, Issue 5 https://doi.org/10.1137/0911052	journal	September 1990
On the Early History of the Singular Value Decomposition Stewart, G. W. SIAM Review, Vol. 35, Issue 4 https://doi.org/10.1137/1035134	journal	December 1993
Julia: A Fresh Approach to Numerical Computing Bezanson, Jeff; Edelman, Alan; Karpinski, Stefan SIAM Review, Vol. 59, Issue 1 https://doi.org/10.1137/141000671	journal	January 2017
The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows Berkooz, G.; Holmes, P.; Lumley, J. L. Annual Review of Fluid Mechanics, Vol. 25, Issue 1 https://doi.org/10.1146/annurev.fl.25.010193.002543	journal	January 1993
Dimension Reduction by Local Principal Component Analysis Kambhatla, Nandakishore; Leen, Todd K. Neural Computation, Vol. 9, Issue 7 https://doi.org/10.1162/neco.1997.9.7.1493	journal	October 1997
Annular Modes in the Extratropical Circulation. Part I: Month-to-Month Variability* Thompson, David W. J.; Wallace, John M. Journal of Climate, Vol. 13, Issue 5 https://doi.org/10.1175/1520-0442(2000)013<1000:AMITEC>2.0.CO;2	journal	March 2000
Sampling Errors in the Estimation of Empirical Orthogonal Functions North, Gerald R.; Bell, Thomas L.; Cahalan, Robert F. Monthly Weather Review, Vol. 110, Issue 7 https://doi.org/10.1175/1520-0493(1982)110<0699:SEITEO>2.0.CO;2	journal	July 1982
Quantifying and Understanding Forced Changes to Unforced Modes of Atmospheric Circulation Variability over the North Pacific in a Coupled Model Large Ensemble O’Brien, John P.; Deser, Clara Journal of Climate, Vol. 36, Issue 1 https://doi.org/10.1175/JCLI-D-22-0101.1	journal	January 2023
Geologic pattern recognition from seismic attributes: Principal component analysis and self-organizing maps Roden, Rocky; Smith, Thomas; Sacrey, Deborah Interpretation, Vol. 3, Issue 4 https://doi.org/10.1190/INT-2015-0037.1	journal	November 2015
Multiresolution models for nonstationary spatial covariance functions Nychka, Douglas; Wikle, Christopher; Royle, J. Andrew Statistical Modelling, Vol. 2, Issue 4 https://doi.org/10.1191/1471082x02st037oa	journal	December 2002
Model Averaging and Dimension Selection for the Singular Value Decomposition Hoff, Peter D. Journal of the American Statistical Association, Vol. 102, Issue 478 https://doi.org/10.1198/016214506000001310	journal	June 2007
The Bayesian Lasso Park, Trevor; Casella, George Journal of the American Statistical Association, Vol. 103, Issue 482 https://doi.org/10.1198/016214508000000337	journal	June 2008
Sparse Principal Component Analysis Zou, Hui; Hastie, Trevor; Tibshirani, Robert Journal of Computational and Graphical Statistics, Vol. 15, Issue 2 https://doi.org/10.1198/106186006X113430	journal	June 2006
Simulation of the Matrix Bingham–von Mises–Fisher Distribution, With Applications to Multivariate and Relational Data Hoff, Peter D. Journal of Computational and Graphical Statistics, Vol. 18, Issue 2 https://doi.org/10.1198/jcgs.2009.07177	journal	January 2009
Adding Spatially-Correlated Errors Can Mess Up the Fixed Effect You Love Hodges, James S.; Reich, Brian J. The American Statistician, Vol. 64, Issue 4 https://doi.org/10.1198/tast.2010.10052	journal	November 2010
The Scree Test For The Number Of Factors Cattell, Raymond B. Multivariate Behavioral Research, Vol. 1, Issue 2 https://doi.org/10.1207/s15327906mbr0102_10	journal	April 1966
The Importance of Scale for Spatial-Confounding Bias and Precision of Spatial Regression Estimators Paciorek, Christopher J. Statistical Science, Vol. 25, Issue 1 https://doi.org/10.1214/10-STS326	journal	February 2010
Simple Marginally Noninformative Prior Distributions for Covariance Matrices Huang, Alan; Wand, M. P. Bayesian Analysis, Vol. 8, Issue 2 https://doi.org/10.1214/13-BA815	journal	June 2013
The General Projected Normal Distribution of Arbitrary Dimension: Modeling and Bayesian Inference Hernandez-Stumpfhauser, Daniel; Breidt, F. Jay; van der Woerd, Mark J. Bayesian Analysis, Vol. 12, Issue 1 https://doi.org/10.1214/15-BA989	journal	March 2017
Bayesian Inference over the Stiefel Manifold via the Givens Representation Pourzanjani, Arya A.; Jiang, Richard M.; Mitchell, Brian Bayesian Analysis, Vol. 16, Issue 2 https://doi.org/10.1214/20-BA1202	journal	June 2021
Stan : A Probabilistic Programming Language Carpenter, Bob; Gelman, Andrew; Hoffman, Matthew D. Journal of Statistical Software, Vol. 76, Issue 1 https://doi.org/10.18637/jss.v076.i01	journal	January 2017
Giving Meaningful Interpretation to Ordination Axes: Assessing Loading Significance in Principal Component Analysis Peres-Neto, Pedro R.; Jackson, Donald A.; Somers, Keith M. Ecology, Vol. 84, Issue 9 https://doi.org/10.1890/00-0634	journal	September 2003
Hierarchical Bayesian Models for Predicting the Spread of Ecological Processes Wikle, Christopher K. Ecology, Vol. 84, Issue 6 https://doi.org/10.1890/0012-9658(2003)084[1382:HBMFPT]2.0.CO;2	journal	June 2003
Stopping Rules in Principal Components Analysis: A Comparison of Heuristical and Statistical Approaches Jackson, Donald A. Ecology, Vol. 74, Issue 8 https://doi.org/10.2307/1939574	journal	December 1993
Simplified EOFs-three alternatives to rotation Jolliffe, It; Uddin, M.; Vines, Sk Climate Research, Vol. 20 https://doi.org/10.3354/cr020271	journal	January 2002

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