{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:23:32Z","timestamp":1740108212771,"version":"3.37.3"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2023,9,13]],"date-time":"2023-09-13T00:00:00Z","timestamp":1694563200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,9,13]],"date-time":"2023-09-13T00:00:00Z","timestamp":1694563200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Stat"],"published-print":{"date-parts":[[2024,7]]},"DOI":"10.1007\/s00180-023-01388-8","type":"journal-article","created":{"date-parts":[[2023,9,13]],"date-time":"2023-09-13T10:01:36Z","timestamp":1694599296000},"page":"2771-2789","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Weighted high dimensional data reduction of finite element features: an application on high pressure of an abdominal aortic aneurysm"],"prefix":"10.1007","volume":"39","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4313-3623","authenticated-orcid":false,"given":"Christoph","family":"Striegel","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jonas","family":"Biehler","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G\u00f6ran","family":"Kauermann","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,9,13]]},"reference":[{"key":"1388_CR1","unstructured":"Bank D, Koenigstein N, Giryes R (2020) Autoencoders. CoRR arXiv:abs\/2003.05991"},{"issue":"3","key":"1388_CR2","doi-asserted-by":"publisher","first-page":"489","DOI":"10.1007\/s10237-014-0618-0","volume":"14","author":"J Biehler","year":"2014","unstructured":"Biehler J, Gee MW, Wall WA (2014) Towards efficient uncertainty quantification in complex and large-scale biomechanical problems based on a Bayesian multi-fidelity scheme. Biomech Model Mechanobiol 14(3):489\u2013513","journal-title":"Biomech Model Mechanobiol"},{"key":"1388_CR3","doi-asserted-by":"crossref","unstructured":"Biehler J, Kehl S, Gee MW, Schmies F, Pelisek J, Maier A, Reeps C, Eckstein HH, Wall WA (2016) Probabilistic noninvasive prediction of wall properties of abdominal aortic aneurysms using Bayesian regression. Biomech Model Mechanobiol","DOI":"10.1007\/s10237-016-0801-6"},{"issue":"1137\/1","key":"1388_CR4","first-page":"9780898718881","volume":"10","author":"TA Davis","year":"2006","unstructured":"Davis TA (2006) Direct methods for sparse linear systems. Soc Ind Appl Math 10(1137\/1):9780898718881","journal-title":"Soc Ind Appl Math"},{"key":"1388_CR5","unstructured":"Davis TA (2021) Suitesparse. https:\/\/github.com\/DrTimothyAldenDavis\/SuiteSparse Accessed 22 Sep 2021"},{"issue":"4","key":"1388_CR6","doi-asserted-by":"publisher","first-page":"489","DOI":"10.1080\/00401706.1979.10489819","volume":"21","author":"KR Gabriel","year":"1979","unstructured":"Gabriel KR, Zamir S (1979) Lower rank approximation of matrices by least squares with any choice of weights. Technometrics 21(4):489\u2013498","journal-title":"Technometrics"},{"key":"1388_CR7","unstructured":"Ghojogh B, Karray F, Crowley M (2019) Eigenvalue and generalized eigenvalue problems: tutorial. arXiv:1903.11240"},{"issue":"2","key":"1388_CR8","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1080\/00401706.1979.10489751","volume":"21","author":"GH Golub","year":"1979","unstructured":"Golub GH, Heath M, Wahba G (1979) Generalized cross-validation as a method for choosing a good ridge parameter. Technometrics 21(2):215\u2013223. https:\/\/doi.org\/10.1080\/00401706.1979.10489751","journal-title":"Technometrics"},{"key":"1388_CR9","doi-asserted-by":"publisher","DOI":"10.1016\/j.spasta.2019.100403","volume":"40","author":"DT Hristopulos","year":"2020","unstructured":"Hristopulos DT, Agou VD (2020) Stochastic local interaction model with sparse precision matrix for space-time interpolation. Spatial Stat 40:100403","journal-title":"Spatial Stat"},{"key":"1388_CR10","doi-asserted-by":"crossref","unstructured":"Li KC (1986) Asymptotic optimality of cl and generalized cross-validation in ridge regression with application to spline smoothing. Ann Stat 1101\u20131112","DOI":"10.1214\/aos\/1176350052"},{"issue":"3","key":"1388_CR11","doi-asserted-by":"publisher","first-page":"451","DOI":"10.1007\/s10208-019-09429-9","volume":"20","author":"C Ma","year":"2019","unstructured":"Ma C, Wang K, Chi Y, Chen Y (2019) Implicit regularization in nonconvex statistical estimation: Gradient descent converges linearly for phase retrieval, matrix completion, and blind deconvolution. Found Comput Math 20(3):451\u2013632. https:\/\/doi.org\/10.1007\/s10208-019-09429-9","journal-title":"Found Comput Math"},{"key":"1388_CR12","doi-asserted-by":"publisher","first-page":"012053","DOI":"10.1088\/1742-6596\/1808\/1\/012053","volume":"1","author":"M Maharani","year":"1808","unstructured":"Maharani M (1808) Saputro DRS (2021) Generalized cross validation (gcv) in smoothing spline nonparametric regression models. J Phys Conf Ser 1:012053. https:\/\/doi.org\/10.1088\/1742-6596\/1808\/1\/012053","journal-title":"J Phys Conf Ser"},{"key":"1388_CR13","volume-title":"Numerical optimization","author":"J Nocedal","year":"2006","unstructured":"Nocedal J, Wright SJ (2006) Numerical optimization, 2nd edn. Springer, New York","edition":"2"},{"key":"1388_CR14","doi-asserted-by":"publisher","DOI":"10.1201\/9780203492024","volume-title":"Gaussian Markov random fields : theory and applications","author":"H Rue","year":"2005","unstructured":"Rue H, Held L (2005) Gaussian Markov random fields\u202f: theory and applications. Chapman & Hall\/CRC, London"},{"issue":"8","key":"1388_CR15","doi-asserted-by":"publisher","first-page":"e019772","DOI":"10.1161\/JAHA.120.019772","volume":"10","author":"TP Singh","year":"2021","unstructured":"Singh TP, Moxon JV, Gasser TC, Golledge J (2021) Systematic review and meta-analysis of peak wall stress and peak wall rupture index in ruptured and asymptomatic intact abdominal aortic aneurysms. J Am Heart Assoc 10(8):e019772. https:\/\/doi.org\/10.1161\/JAHA.120.019772","journal-title":"J Am Heart Assoc"},{"key":"1388_CR16","doi-asserted-by":"publisher","unstructured":"Soltanpour S, Boufama B, Jonathan WuQ (2017) A survey of local feature methods for 3d face recognition. Pattern Recognit 72:391\u2013406 https:\/\/doi.org\/10.1016\/j.patcog.2017.08.003, \u2019www.sciencedirect.com\/science\/article\/pii\/S0031320317303072\u2019","DOI":"10.1016\/j.patcog.2017.08.003"},{"issue":"1","key":"1388_CR17","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1016\/j.jvs.2009.08.075","volume":"51","author":"L Speelman","year":"2010","unstructured":"Speelman L, Schurink GWH, Bosboom EMH, Buth J, Breeuwer M, van de Vosse FN, Jacobs MH (2010) The mechanical role of thrombus on the growth rate of an abdominal aortic aneurysm. J Vasc Surg 51(1):19\u201326","journal-title":"J Vasc Surg"},{"key":"1388_CR18","doi-asserted-by":"publisher","unstructured":"Striegel C, Biehler J, Wall W, Kauermann G (2022) A multifidelity function-on-function model applied to an abdominal aortic aneurysm. Technometrics pp 1\u201326, https:\/\/doi.org\/10.1080\/00401706.2021.2024453","DOI":"10.1080\/00401706.2021.2024453"},{"key":"1388_CR19","doi-asserted-by":"publisher","first-page":"1466","DOI":"10.1111\/j.1365-2966.2004.08585.x","volume":"356","author":"O Tamuz","year":"2005","unstructured":"Tamuz O, Mazeh T, Zucker S (2005) Correcting systematic effects in a large set of photometric light curves. Mon Not R Astron Soc 356:1466\u20131470. https:\/\/doi.org\/10.1111\/j.1365-2966.2004.08585.x","journal-title":"Mon Not R Astron Soc"},{"key":"1388_CR20","volume-title":"Gaussian processes for machine learning","author":"CK Williams","year":"2006","unstructured":"Williams CK, Rasmussen CE (2006) Gaussian processes for machine learning, vol 2. MIT Press, Cambridge"},{"key":"1388_CR21","unstructured":"Xuan Y (2016) Rspectra. https:\/\/github.com\/yixuan\/RSpectra\/ Accessed 9 Aug 2018"},{"issue":"2","key":"1388_CR22","doi-asserted-by":"publisher","first-page":"56","DOI":"10.38094\/jastt1224","volume":"1","author":"R Zebari","year":"2020","unstructured":"Zebari R, Abdulazeez A, Zeebaree D, Zebari D, Saeed J (2020) A comprehensive review of dimensionality reduction techniques for feature selection and feature extraction. J Appl Sci Technol Trends 1(2):56\u201370","journal-title":"J Appl Sci Technol Trends"}],"container-title":["Computational Statistics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-023-01388-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00180-023-01388-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-023-01388-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,14]],"date-time":"2024-06-14T15:06:50Z","timestamp":1718377610000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00180-023-01388-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,9,13]]},"references-count":22,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2024,7]]}},"alternative-id":["1388"],"URL":"https:\/\/doi.org\/10.1007\/s00180-023-01388-8","relation":{},"ISSN":["0943-4062","1613-9658"],"issn-type":[{"type":"print","value":"0943-4062"},{"type":"electronic","value":"1613-9658"}],"subject":[],"published":{"date-parts":[[2023,9,13]]},"assertion":[{"value":"30 June 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 July 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 September 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"full code and data to reproduce the results is available at: .","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Code and Data"}},{"value":"<tt>reformulation_tensor_decomposition.pdf<\/tt> contains a reformulation of the first basis vector problem as a tensor decomposition.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Reformulation as Tensor Decomposition"}},{"value":"<tt>simulation_study.pdf<\/tt> contains as small simulation study with sampled weight vectors.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Simulation Study"}},{"value":"<tt>neighbors_count.pdf<\/tt>.","order":5,"name":"Ethics","group":{"name":"EthicsHeading","label":"Histogram of the number of neighbors for the high fidelity grid points"}}]}}