{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T01:39:37Z","timestamp":1772761177385,"version":"3.50.1"},"reference-count":50,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/100000006","name":"Office of Naval Research","doi-asserted-by":"publisher","award":["N00014-21-1-2510-01"],"award-info":[{"award-number":["N00014-21-1-2510-01"]}],"id":[{"id":"10.13039\/100000006","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1638521"],"award-info":[{"award-number":["DMS-1638521"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2022,6]]},"DOI":"10.1137\/21m1432739","type":"journal-article","created":{"date-parts":[[2022,6,2]],"date-time":"2022-06-02T14:52:55Z","timestamp":1654181575000},"page":"A1428-A1449","source":"Crossref","is-referenced-by-count":14,"title":["Gaussian Process Subspace Prediction for Model Reduction"],"prefix":"10.1137","volume":"44","author":[{"given":"Ruda","family":"Zhang","sequence":"first","affiliation":[]},{"given":"Simon","family":"Mak","sequence":"additional","affiliation":[]},{"given":"David","family":"Dunson","sequence":"additional","affiliation":[]}],"member":"351","published-online":{"date-parts":[[2022,6,2]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-2010-10541-5"},{"key":"atypb2","unstructured":"D. Amsallem,Interpolation on Manifolds of CFD-Based Fluid and Finite Element-Based Structural Reduced-Order Models for On-Line Aeroelastic Predictions, Ph.D. thesis, Stanford University, 2010,https:\/\/searchworks.stanford.edu\/view\/8652541."},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.2514\/1.35374"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1137\/100813051"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611976083"},{"key":"atypb6","first-page":"10","volume":"475","author":"Babaee H.","year":"2019","journal-title":"Proc. A"},{"key":"atypb7","volume-title":"A Grassmann Manifold Handbook: Basic Geometry and Computational Aspects. https:\/\/arxiv.org\/abs\/2011.13699","author":"Bendokat T.","year":"2020"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1137\/130932715"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1137\/090766498"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1080\/00401706.2020.1801255"},{"key":"atypb11","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-21540-2","volume-title":"Statistics on Special Manifolds","author":"Chikuse Y.","year":"2003"},{"key":"atypb12","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611973860","volume-title":"Active Subspaces: Emerging Ideas for Dimension Reduction in Parameter Studies","author":"Constantine P. G.","year":"2015"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479895290954"},{"key":"atypb14","first-page":"3170","volume":"32","author":"Eftang J. L.","year":"2010","journal-title":"Sci. Comput."},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1198\/106186006X132178"},{"key":"atypb16","doi-asserted-by":"crossref","DOI":"10.56021\/9781421407944","volume-title":"Matrix Computations","author":"Golub G. H.","year":"2013"},{"key":"atypb17","doi-asserted-by":"crossref","DOI":"10.1201\/9780367815493","volume-title":"Surrogates: Gaussian Process Modeling, Design, and Optimization for the Applied Sciences","author":"Gramacy R. B.","year":"2020"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1080\/10618600.2014.914442"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drs026"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1137\/060666123"},{"key":"atypb21","first-page":"1","volume":"17","author":"Guhaniyogi R.","year":"2016","journal-title":"J. Mach. Learn. Res."},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1137\/090771806"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1137\/04061101X"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1214\/11-AOAS489"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1214\/18-BA1135"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2016.1208615"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1198\/TECH.2009.08040"},{"key":"atypb28","first-page":"166","volume-title":"Atmospheric Turbulence and Radio Wave Propagation","author":"Lumley J. L.","year":"1967"},{"key":"atypb29","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2017.1409123"},{"key":"atypb30","volume-title":"Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2018","author":"Mallasto A.","year":"2018"},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1981.1102568"},{"key":"atypb32","volume-title":"Model Order Reduction Wiki","author":"Community Rwiki","year":"2018"},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1111\/rssb.12320"},{"key":"atypb34","volume-title":"Model Order Reduction Wiki","author":"Thermal","year":"2018"},{"key":"atypb35","doi-asserted-by":"publisher","DOI":"10.1002\/nme.6805"},{"key":"atypb36","doi-asserted-by":"publisher","DOI":"10.1524\/auto.2010.0863"},{"key":"atypb37","doi-asserted-by":"publisher","DOI":"10.1214\/17-AOS1624"},{"key":"atypb38","volume-title":"Gaussian Processes for Machine Learning","author":"Rasmussen C. E.","year":"2006"},{"key":"atypb39","volume-title":"Zenodo, 2021","author":"Saak J.","year":"1968"},{"key":"atypb40","first-page":"238","volume":"36","author":"Sander O.","year":"2016","journal-title":"IMA J. Numer. Anal."},{"key":"atypb41","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4939-8847-1","volume-title":"The Design and Analysis of Computer Experiments","author":"Santner T. J.","year":"2018"},{"key":"atypb42","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112010001217"},{"key":"atypb43","doi-asserted-by":"publisher","DOI":"10.1002\/nme.4408"},{"key":"atypb44","doi-asserted-by":"publisher","DOI":"10.1214\/15-AOS1390"},{"key":"atypb45","doi-asserted-by":"publisher","DOI":"10.1137\/15M1054201"},{"key":"atypb46","volume-title":"Newton Retraction as Approximate Geodesics on Submanifolds. https:\/\/arxiv.org\/abs\/2006.14751","author":"Zhang R.","year":"2020"},{"key":"atypb47","doi-asserted-by":"publisher","DOI":"10.1137\/20M1356002"},{"key":"atypb48","volume-title":"Oxford Research Encyclopedia of Environmental Science","author":"Zhang R.","year":"2020"},{"key":"atypb49","volume-title":"Manifold Interpolation and Model Reduction. https:\/\/arxiv.org\/abs\/1902.06502","author":"Zimmermann R.","year":"2019"},{"key":"atypb50","doi-asserted-by":"publisher","DOI":"10.1137\/19M1282878"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,2,7]],"date-time":"2023-02-07T02:21:16Z","timestamp":1675736476000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/21M1432739"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6]]},"references-count":50,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2022,6]]}},"alternative-id":["10.1137\/21M1432739"],"URL":"https:\/\/doi.org\/10.1137\/21m1432739","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,6]]}}}