{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T16:09:21Z","timestamp":1769184561026,"version":"3.49.0"},"reference-count":73,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2018,12,1]],"date-time":"2018-12-01T00:00:00Z","timestamp":1543622400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Med Biol Eng Comput"],"published-print":{"date-parts":[[2019,5]]},"DOI":"10.1007\/s11517-018-1934-9","type":"journal-article","created":{"date-parts":[[2018,12,1]],"date-time":"2018-12-01T15:48:32Z","timestamp":1543679312000},"page":"967-993","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":28,"title":["Evaluation of multivariate adaptive non-parametric reduced-order model for solving the inverse electrocardiography problem: a simulation study"],"prefix":"10.1007","volume":"57","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1151-0263","authenticated-orcid":false,"given":"\u00d6nder Naz\u0131m","family":"Onak","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yesim Serinagaoglu","family":"Dogrusoz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gerhard Wilhelm","family":"Weber","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,12,1]]},"reference":[{"key":"1934_CR1","unstructured":"WHO (2016). Cardiovascular diseases (CVDs), \n                    http:\/\/www.who.int\/mediacentre\/factsheets\/fs317\/en\/\n                    \n                  , [Online, accessed 12.03.2018]"},{"key":"1934_CR2","unstructured":"EDGAR. Experimental Data and Geometric Analysis Repository, \n                    http:\/\/edgar.sci.utah.edu\/\n                    \n                  , [Online, accessed 13.07.2018]"},{"key":"1934_CR3","doi-asserted-by":"publisher","DOI":"10.1002\/9781118821350","volume-title":"ECGs for beginners","author":"A Bay\u00e9s de Luna","year":"2014","unstructured":"Bay\u00e9s de Luna A (2014) ECGs for beginners. Wiley, Oxford. \n                    https:\/\/doi.org\/10.1002\/9781118821350"},{"issue":"1","key":"1934_CR4","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1109\/10.736746","volume":"46","author":"DH Brooks","year":"1999","unstructured":"Brooks DH, Ahmad GF (1999) Inverse electrocardiography by simultaneous imposition of multiple constraints. IEEE Trans Biomed Eng 46(1):3\u201318. \n                    https:\/\/doi.org\/10.1109\/10.736746","journal-title":"IEEE Trans Biomed Eng"},{"issue":"6","key":"1934_CR5","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1007\/s12471-015-0690-9","volume":"23","author":"M Cluitmans","year":"2015","unstructured":"Cluitmans M, Peeters R, Westra R, Volders P (2015) Noninvasive reconstruction of cardiac electrical activity: update on current methods, applications and challenges. Neth Hear J 23(6):301\u2013311. \n                    https:\/\/doi.org\/10.1007\/s12471-015-0690-9","journal-title":"Neth Hear J"},{"issue":"9","key":"1934_CR6","doi-asserted-by":"publisher","first-page":"891","DOI":"10.1007\/s11517-012-0941-5","volume":"50","author":"A Oosterom Van","year":"2012","unstructured":"Van Oosterom A (2012) The inverse problem of bioelectricity: an evaluation. Med Biol Eng Comput 50 (9):891\u2013902. \n                    https:\/\/doi.org\/10.1007\/s11517-012-0941-5","journal-title":"Med Biol Eng Comput"},{"issue":"3","key":"1934_CR7","doi-asserted-by":"publisher","first-page":"232","DOI":"10.1016\/j.jacep.2016.11.012","volume":"3","author":"MJM Cluitmans","year":"2017","unstructured":"Cluitmans MJM, Bonizzi P, Karel JMH, Das M, Kietselaer BLJH, de Jong MMJ, Volders PGA (2017) In vivo validation of electrocardiographic imaging. JACC: Clinical Electrophysiology 3(3):232\u2013242. \n                    https:\/\/doi.org\/10.1016\/j.jacep.2016.11.012","journal-title":"JACC: Clinical Electrophysiology"},{"key":"1934_CR8","volume-title":"Bioelectricity and Biomagnetism","author":"RM Gulrajani","year":"1998","unstructured":"Gulrajani RM (1998) Bioelectricity and Biomagnetism, 1st. Wiley, Oxford","edition":"1st"},{"key":"1934_CR9","doi-asserted-by":"crossref","unstructured":"Hansen PC (1998) Rank-deficient and Discrete Ill-posed Problems: Numerical Aspects of Linear Inversion. Philadelphia PA, USA: Society for Industrial and Applied Mathematics","DOI":"10.1137\/1.9780898719697"},{"key":"1934_CR10","volume-title":"Solutions of Ill-Posed problems","author":"AN Tikhonov","year":"1977","unstructured":"Tikhonov AN, Arsenin VY (1977) Solutions of Ill-Posed problems. Winston and Sons, Washington DC"},{"issue":"10","key":"1934_CR11","doi-asserted-by":"publisher","first-page":"2024","DOI":"10.1109\/TBME.2006.881776","volume":"53","author":"Y Serinagaoglu","year":"2006","unstructured":"Serinagaoglu Y, Brooks DH, MacLeod RS (2006) Improved performance of Bayesian solutions for inverse electrocardiography using multiple information sources. IEEE Trans Biomed Eng 53(10):2024\u20132034","journal-title":"IEEE Trans Biomed Eng"},{"issue":"5","key":"1934_CR12","doi-asserted-by":"publisher","first-page":"863","DOI":"10.1161\/CIRCRESAHA.112.279315","volume":"112","author":"Y Rudy","year":"2013","unstructured":"Rudy Y (2013) Noninvasive electrocardiographic imaging of arrhythmogenic substrates in humans. Circ Res 112(5):863\u2013874","journal-title":"Circ Res"},{"key":"1934_CR13","unstructured":"CardioInsight (2017). \n                    http:\/\/www.medtronic.eu\/AFS\/cardioinsight\/index.htm\n                    \n                   , [Online, accessed 12.03.2018]"},{"issue":"6","key":"1934_CR14","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1007\/s10527-009-9065-0","volume":"42","author":"LA Bokeriya","year":"2008","unstructured":"Bokeriya LA, Revishvili AS, Kalinin AV, Kalinin VV, Lyadzhina OA, Fetisova EA (2008) Hardware\u2013software system for noninvasive electrocardiographic heart examination based on inverse problem of electrocardiography. Biomed Eng 42(6):273\u2013279. \n                    https:\/\/doi.org\/10.1007\/s10527-009-9065-0","journal-title":"Biomed Eng"},{"key":"1934_CR15","unstructured":"AmyCard (2017). \n                    http:\/\/amycard.com\n                    \n                  , [Online, accessed 12.03.2018]"},{"key":"1934_CR16","first-page":"355","volume-title":"Parameter estimation and inverse problems","author":"RC Aster","year":"2013","unstructured":"Aster RC, Borchers B, Thurber CH (2013) Parameter estimation and inverse problems, 2nd. Academic Press, Boston, pp 355\u2013360","edition":"2nd"},{"key":"1934_CR17","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1016\/S0377-0427(00)00414-3 https:\/\/doi.org\/10.1016\/S0377-0427(00)00414-3","volume":"123","author":"D Calvetti","year":"2000","unstructured":"Calvetti D, Morigi S, Reichel L, Sgallari F (2000) Tikhonov regularization and the L-curve for large discrete ill-posed problems. J Comput Appl Math 123:423\u2013446. \n                    https:\/\/doi.org\/10.1016\/S0377-0427(00)00414-3","journal-title":"J Comput Appl Math"},{"issue":"9","key":"1934_CR18","doi-asserted-by":"publisher","first-page":"717","DOI":"10.1007\/s11517-014-1176-4","volume":"52","author":"D Potyagaylo","year":"2014","unstructured":"Potyagaylo D, Cortes EG, Schulze WHW, Dossel O (2014) Binary optimization for source localization in the inverse problem of ECG. Med Biol Eng Comput 52(9):717\u2013728. \n                    https:\/\/doi.org\/10.1007\/s11517-014-1176-4","journal-title":"Med Biol Eng Comput"},{"issue":"10","key":"1934_CR19","doi-asserted-by":"publisher","first-page":"1152","DOI":"10.1109\/TBME.2003.817632","volume":"50","author":"F Greensite","year":"2003","unstructured":"Greensite F (2003) The temporal prior in bioelectromagnetic source imaging problems. IEEE Trans Biomed Eng 50(10):1152\u20131159. \n                    https:\/\/doi.org\/10.1109\/TBME.2003.817632","journal-title":"IEEE Trans Biomed Eng"},{"issue":"1","key":"1934_CR20","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1109\/10.108129 https:\/\/doi.org\/10.1109\/10.108129","volume":"39","author":"HS Oster","year":"1992","unstructured":"Oster HS, Rudy Y (1992) The use of temporal information in the regularization of the inverse problem of electrocardiography. IEEE Trans Biomed Eng 39(1):65\u201375. \n                    https:\/\/doi.org\/10.1109\/10.108129","journal-title":"IEEE Trans Biomed Eng"},{"issue":"9","key":"1934_CR21","doi-asserted-by":"publisher","first-page":"1821","DOI":"10.1109\/TBME.2006.878117 https:\/\/doi.org\/10.1109\/TBME.2006.878117","volume":"53","author":"A Ghodrati","year":"2006","unstructured":"Ghodrati A, Brooks DH, Tadmor G, MacLeod RS (2006) Wavefront-based models for inverse electrocardiography. IEEE Trans Biomed Eng 53(9):1821\u20131831. \n                    https:\/\/doi.org\/10.1109\/TBME.2006.878117","journal-title":"IEEE Trans Biomed Eng"},{"issue":"1","key":"1934_CR22","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1088\/0266-5611\/21\/1\/022 https:\/\/doi.org\/10.1088\/0266-5611\/21\/1\/022","volume":"21","author":"Y Zhang","year":"2005","unstructured":"Zhang Y, Ghodrati A, Brooks DH (2005) An analytical comparison of three spatio-temporal regularization methods for dynamic linear inverse problems in a common statistical framework. Inverse Prob 21(1):357\u2013382. \n                    https:\/\/doi.org\/10.1088\/0266-5611\/21\/1\/022","journal-title":"Inverse Prob"},{"issue":"2","key":"1934_CR23","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1088\/0266-5611\/18\/2\/305 https:\/\/doi.org\/10.1088\/0266-5611\/18\/2\/305","volume":"18","author":"F Greensite","year":"2002","unstructured":"Greensite F (2002) A new treatment of the inverse problem of multivariate analysis. Inverse Prob 18(2):363. \n                    https:\/\/doi.org\/10.1088\/0266-5611\/18\/2\/305","journal-title":"Inverse Prob"},{"issue":"1","key":"1934_CR24","doi-asserted-by":"publisher","first-page":"39012","DOI":"10.1038\/srep39012","volume":"6","author":"B Yao","year":"2016","unstructured":"Yao B, Yang H (2016) Physics-driven spatiotemporal regularization for high-dimensional predictive modeling: a novel approach to solve the inverse ECG problem. Sci Report 6(1):39012. \n                    https:\/\/doi.org\/10.1038\/srep39012","journal-title":"Sci Report"},{"key":"1934_CR25","doi-asserted-by":"publisher","unstructured":"Gavgani AM, Dogrusoz YS (2011) Use of genetic algorithm for selection of regularization parameters in multiple constraint inverse ECG problem. In: Proceedings of the annual international conference of the IEEE engineering in medicine and biology society. EMBS (3), pp 985\u2013988. \n                    https:\/\/doi.org\/10.1109\/IEMBS.2011.6090228","DOI":"10.1109\/IEMBS.2011.6090228"},{"issue":"5","key":"1934_CR26","doi-asserted-by":"publisher","first-page":"902","DOI":"10.1007\/s10439-009-9665-6","volume":"37","author":"S Ghosh","year":"2009","unstructured":"Ghosh S, Rudy Y (2009) Application of L1-Norm regularization to epicardial potential solution of the inverse electrocardiography problem. Ann Biomed Eng 37(5):902\u2013912. \n                    https:\/\/doi.org\/10.1007\/s10439-009-9665-6","journal-title":"Ann Biomed Eng"},{"issue":"9","key":"1934_CR27","doi-asserted-by":"publisher","first-page":"1860","DOI":"10.1109\/TMI.2014.2324900","volume":"33","author":"J Xu","year":"2014","unstructured":"Xu J, Dehaghani AR, Gao F, Wang L (2014) Noninvasive transmural electrophysiological imaging based on minimization of total-variation functional. IEEE Trans Med Imaging 33(9):1860\u20131874. \n                    https:\/\/doi.org\/10.1109\/TMI.2014.2324900","journal-title":"IEEE Trans Med Imaging"},{"key":"1934_CR28","doi-asserted-by":"crossref","unstructured":"Wang L, Li X, Chen Y, Qin J (2015) Application of L0-norm regularization to epicardial potential reconstruction. In: MICCAI 2015, Part I, lecture notes in computer science, vol. 9349, pp 493\u2013500","DOI":"10.1007\/978-3-319-24571-3_59"},{"key":"1934_CR29","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2013\/276478","volume":"2013","author":"A Rahimi","year":"2013","unstructured":"Rahimi A, Xu J, Wang L (2013) Lp norm regularization in volumetric imaging of cardiac current sources. Comput Math Methods Med 2013:1\u201310. \n                    https:\/\/doi.org\/10.1155\/2013\/276478","journal-title":"Comput Math Methods Med"},{"issue":"1","key":"1934_CR30","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1109\/TMI.2015.2464315","volume":"35","author":"A Rahimi","year":"2016","unstructured":"Rahimi A, Sapp J, Xu J, Bajorski P, Horacek M, Wang L (2016) Examining the impact of prior models in transmural electrophysiological imaging: a hierarchical multiple-model bayesian approach. IEEE Trans Med Imaging 35(1):229\u2013243. \n                    https:\/\/doi.org\/10.1109\/TMI.2015.2464315","journal-title":"IEEE Trans Med Imaging"},{"issue":"7","key":"1934_CR31","doi-asserted-by":"publisher","first-page":"778","DOI":"10.1109\/10.771187","volume":"46","author":"A Oosterom Van","year":"1999","unstructured":"Van Oosterom A (1999) The use of the spatial covariance in computing pericardial potentials. IEEE Trans Biomed Eng 46(7):778\u2013787. \n                    https:\/\/doi.org\/10.1109\/10.771187","journal-title":"IEEE Trans Biomed Eng"},{"key":"1934_CR32","doi-asserted-by":"publisher","first-page":"180","DOI":"10.1007\/978-3-540-89208-3_45","volume":"22","author":"M Onal","year":"2008","unstructured":"Onal M, Serinagaoglu Y (2008) Spatio-temporal solutions in inverse electrocardiography. IFMBE Proc 22:180\u2013183","journal-title":"IFMBE Proc"},{"key":"1934_CR33","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1016\/j.jcp.2014.11.041","volume":"283","author":"C Corrado","year":"2015","unstructured":"Corrado C, Gerbeau J. -F., Moireau P (2015) Identification of weakly coupled multiphysics problems. Application to the inverse problem of electrocardiography. J Comput Phys 283:271\u2013298. \n                    https:\/\/doi.org\/10.1016\/j.jcp.2014.11.041","journal-title":"J Comput Phys"},{"issue":"9","key":"1934_CR34","doi-asserted-by":"publisher","first-page":"1003","DOI":"10.1007\/s11517-011-0757-8","volume":"49","author":"U Aydin","year":"2011","unstructured":"Aydin U, Dogrusoz YS (2011) A Kalman filter-based approach to reduce the effects of geometric errors and the measurement noise in the inverse ECG problem. Med Biol Eng Comput 49 (9):1003\u20131013. \n                    https:\/\/doi.org\/10.1007\/s11517-011-0757-8","journal-title":"Med Biol Eng Comput"},{"issue":"9","key":"1934_CR35","doi-asserted-by":"publisher","first-page":"1821","DOI":"10.1109\/TBME.2006.878117 https:\/\/doi.org\/10.1109\/TBME.2006.878117","volume":"53","author":"A Ghodrati","year":"2006","unstructured":"Ghodrati A, Brooks D, Tadmor G, MacLeod R (2006) Wavefront-based models for inverse electrocardiography. IEEE Trans Biomed Eng 53(9):1821\u20131831. \n                    https:\/\/doi.org\/10.1109\/TBME.2006.878117","journal-title":"IEEE Trans Biomed Eng"},{"key":"1934_CR36","doi-asserted-by":"publisher","unstructured":"Babaeizadeh S, Brooks D, Isaacson D (2005) A deformable-radius B-spline method for shape-based inverse problems, as applied to electrical impedance tomography. In: Proceedings. (ICASSP \u201905). IEEE international conference on acoustics, speech, and signal processing, 2005, vol. 2, IEEE, pp 485\u2013488. \n                    https:\/\/doi.org\/10.1109\/ICASSP.2005.1415447","DOI":"10.1109\/ICASSP.2005.1415447"},{"issue":"4 I","key":"1934_CR37","doi-asserted-by":"publisher","first-page":"1682","DOI":"10.1109\/36.851967","volume":"38","author":"EL Miller","year":"2000","unstructured":"Miller EL, Kilmer M, Rappaport C (2000) A new shape-based method for object localization and characterization from scattered field data. IEEE Trans Geosci Remote Sens 38(4 I):1682\u20131696. \n                    https:\/\/doi.org\/10.1109\/36.851967","journal-title":"IEEE Trans Geosci Remote Sens"},{"issue":"2","key":"1934_CR38","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1088\/0266-5611\/20\/2\/003","volume":"20","author":"A Baussard","year":"2004","unstructured":"Baussard A, Miller EL, Pr\u2019emel D., Adaptive B (2004) -Spline scheme for solving an inverse scattering problem. Inverse Prob 20(2):347\u2013365. \n                    https:\/\/doi.org\/10.1088\/0266-5611\/20\/2\/003","journal-title":"Inverse Prob"},{"issue":"6","key":"1934_CR39","doi-asserted-by":"publisher","first-page":"S1","DOI":"10.1088\/0266-5611\/20\/6\/S01","volume":"20","author":"A Baussard","year":"2004","unstructured":"Baussard A, Miller EL, Lesselier D (2004) Adaptive multiscale reconstruction of buried objects. Inverse Prob 20(6):S1\u2013S15. \n                    https:\/\/doi.org\/10.1088\/0266-5611\/20\/6\/S01","journal-title":"Inverse Prob"},{"key":"1934_CR40","first-page":"1","volume":"1","author":"O Zettinig","year":"2013","unstructured":"Zettinig O, Mansi T, Georgescu B, Kayvanpour E, Sedaghat-Hamedani F, Amr A, Haas J, Steen H, Meder B, Katus H, Navab N, Kamen A, Comaniciu D (2013) Fast data-driven calibration of a cardiac electrophysiology model from images and ECG. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 8149 LNCS (PART) 1:1\u20138","journal-title":"Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 8149 LNCS (PART)"},{"issue":"8","key":"1934_CR41","doi-asserted-by":"publisher","first-page":"1361","DOI":"10.1016\/j.media.2014.04.011","volume":"18","author":"O Zettinig","year":"2014","unstructured":"Zettinig O, Mansi T, Neumann D, Georgescu B, Rapaka S, Seegerer P, Kayvanpour E, Sedaghat-Hamedani F, Amr A, Haas J, Steen H, Katus H, Meder B, Navab N, Kamen A, Comaniciu D (2014) Data-driven estimation of cardiac electrical diffusivity from 12-lead ECG signals. Med Image Anal 18(8):1361\u20131376. \n                    https:\/\/doi.org\/10.1016\/j.media.2014.04.011","journal-title":"Med Image Anal"},{"issue":"3","key":"1934_CR42","doi-asserted-by":"publisher","first-page":"726","DOI":"10.1109\/TMI.2013.2295220 https:\/\/doi.org\/10.1109\/TMI.2013.2295220","volume":"33","author":"B Erem","year":"2014","unstructured":"Erem B, Coll-Font J, Orellana RM, St\u2019Ovicek P, Brooks DH (2014) Using transmural regularization and dynamic modeling for noninvasive cardiac potential imaging of endocardial pacing with imprecise thoracic geometry. IEEE Trans Med Imaging 33(3):726\u2013738. \n                    https:\/\/doi.org\/10.1109\/TMI.2013.2295220","journal-title":"IEEE Trans Med Imaging"},{"key":"1934_CR43","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1515\/jag-2016-0003 https:\/\/doi.org\/10.1515\/jag-2016-0003","volume":"10","author":"C Harmening","year":"2016","unstructured":"Harmening C, Neuner H (2016) Choosing the optimal number of b-spline control points (part 1: methodology and approximation of curves). J Appl Geodesy 10:139\u2013157. \n                    https:\/\/doi.org\/10.1515\/jag-2016-0003","journal-title":"J Appl Geodesy"},{"key":"1934_CR44","volume-title":"Applied nonparametric regression","author":"W H\u00e4rdle","year":"1994","unstructured":"H\u00e4rdle W (1994) Applied nonparametric regression. Cambridge University Press, New York"},{"key":"1934_CR45","volume-title":"Extending the linear model with r: generalized linear, mixed effects and nonparametric regression models","author":"JJ Faraway","year":"1994","unstructured":"Faraway JJ (1994) Extending the linear model with r: generalized linear, mixed effects and nonparametric regression models, 2nd. Chapman & Hall\/CRC, Boca Raton","edition":"2nd"},{"key":"1934_CR46","unstructured":"Boor CD (2001) A practical guide to splines (Revised Edition), vol 27, 1st edn. Springer, New York"},{"key":"1934_CR47","doi-asserted-by":"publisher","first-page":"4780","DOI":"10.1016\/j.cnsns.2011.04.001","volume":"16","author":"A \u00d6zmen","year":"2011","unstructured":"\u00d6zmen A., Weber G, Batmaz I, Kropat E (2011) RCMARS: Robustification Of CMARS with different scenarios under polyhedral uncertainty set. Commun Nonlinear Sci Numer Simul 16:4780\u20134787. \n                    https:\/\/doi.org\/10.1016\/j.cnsns.2011.04.001","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"1934_CR48","doi-asserted-by":"publisher","unstructured":"Weber G-W, Batmaz N, K\u00f6ksal G, Taylan P, Yerlikaya-\u00d6zkurt F (2012) CMARS: a new contribution to nonparametric regression with multivariate adaptive regression splines supported by continuous optimization, Inverse Problems in Science and Engineering 20(3):371\u2013400. \n                    https:\/\/doi.org\/10.1080\/17415977.2011.624770","DOI":"10.1080\/17415977.2011.624770"},{"key":"1934_CR49","doi-asserted-by":"crossref","unstructured":"Kuter S, Weber GW, \u00d6zmen A, Aky\u00fcrek Z (2014) Modern applied mathematics for alternative modeling of the atmospheric effects on satellite images. In: Modeling, dynamics, optimization and Bioeconomics I. Springer, pp 469\u2013485","DOI":"10.1007\/978-3-319-04849-9_27"},{"issue":"4","key":"1934_CR50","doi-asserted-by":"publisher","first-page":"651","DOI":"10.1080\/17415977.2014.933828","volume":"23","author":"S Kuter","year":"2015","unstructured":"Kuter S, Weber G-W, Aky\u00fcrek Z, \u00d6zmen A. (2015) Inversion of top of atmospheric reflectance values by conic multivariate adaptive regression splines. Inverse Prob Sci Eng 23(4):651\u2013669. \n                    https:\/\/doi.org\/10.1080\/17415977.2014.933828","journal-title":"Inverse Prob Sci Eng"},{"issue":"5","key":"1934_CR51","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1007\/s10666-014-9404-8 https:\/\/doi.org\/10.1007\/s10666-014-9404-8","volume":"19","author":"A \u00d6zmen","year":"2014","unstructured":"\u00d6zmen A, Batmaz \u0130, Weber GW (2014) Precipitation modeling by polyhedral RCMARS and comparison with MARS and CMARS. Environ Model Assess 19(5):425\u2013435. \n                    https:\/\/doi.org\/10.1007\/s10666-014-9404-8","journal-title":"Environ Model Assess"},{"issue":"12","key":"1934_CR52","doi-asserted-by":"publisher","first-page":"1651","DOI":"10.1080\/0305215X.2013.858141","volume":"46","author":"F Yerlikaya-\u00d6zkurt","year":"2014","unstructured":"Yerlikaya-\u00d6zkurt F, Askan A, Weber G-W (2014) An alternative approach to the ground motion prediction problem by a non-parametric adaptive regression method. Eng Optim 46(12):1651\u20131668. \n                    https:\/\/doi.org\/10.1080\/0305215X.2013.858141","journal-title":"Eng Optim"},{"issue":"1","key":"1934_CR53","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/j.gsf.2014.10.003 https:\/\/doi.org\/10.1016\/j.gsf.2014.10.003","volume":"7","author":"W Zhang","year":"2016","unstructured":"Zhang W, Goh AT (2016) Multivariate adaptive regression splines and neural network models for prediction of pile drivability. Geosci Front 7(1):45\u201352. \n                    https:\/\/doi.org\/10.1016\/j.gsf.2014.10.003","journal-title":"Geosci Front"},{"key":"1934_CR54","doi-asserted-by":"publisher","unstructured":"Ayyildiz E, Purut\u00e7uo\u011flu V, Weber GW (2017) Loop-based conic multivariate adaptive regression splines is a novel method for advanced construction of complex biological networks. Eur J Oper Res 270(1):852\u2013861. \n                    https:\/\/doi.org\/10.1016\/j.ejor.2017.12.011","DOI":"10.1016\/j.ejor.2017.12.011"},{"key":"1934_CR55","doi-asserted-by":"publisher","unstructured":"\u00c7evik A, Weber G-W, Eyu\u0327bo\u011flu BM, O\u011fuz KK (2017) Voxel-MARS: a method for early detection of Alzheimer\u2019s disease by classification of structural brain MRI. Ann Oper Res 258(1):31\u201357. \n                    https:\/\/doi.org\/10.1007\/s10479-017-2405-7","DOI":"10.1007\/s10479-017-2405-7"},{"key":"1934_CR56","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1016\/j.eneco.2018.01.022 https:\/\/doi.org\/10.1016\/j.eneco.2018.01.022","volume":"70","author":"A \u00d6zmen","year":"2018","unstructured":"\u00d6zmen A, Weber G-W (2018) Natural gas consumption forecast with MARS and CMARS models for residential users. Energy Econ 70:357\u2013381. \n                    https:\/\/doi.org\/10.1016\/j.eneco.2018.01.022","journal-title":"Energy Econ"},{"key":"1934_CR57","unstructured":"Jekabsons G (2016). ARESLab: Adaptive Regression Splines toolbox, \n                    http:\/\/www.cs.rtu.lv\/jekabsons\/regression.html\n                    \n                  , [Online, accessed 12.03.2018]"},{"issue":"1","key":"1934_CR58","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1145\/321150.321157","volume":"10","author":"S Twomey","year":"1963","unstructured":"Twomey S (1963) On the numerical solution of fredholm integral equations of the first kind by the inversion of the linear system produced by quadrature. J ACM 10(1):97\u2013101. \n                    https:\/\/doi.org\/10.1145\/321150.321157","journal-title":"J ACM"},{"issue":"1","key":"1934_CR59","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1214\/aos\/1176347963","volume":"19","author":"JH Friedman","year":"1991","unstructured":"Friedman JH (1991) Multivariate adaptive regression splines. Ann Stat 19(1):1\u201367. \n                    https:\/\/doi.org\/10.1214\/aos\/1176347963","journal-title":"Ann Stat"},{"issue":"3","key":"1934_CR60","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1177\/096228029500400303","volume":"4","author":"JH Friedman","year":"1995","unstructured":"Friedman JH, Roosen CB (1995) An introduction to multivariate adaptive regression splines. Stat Methods Med Res 4(3):197\u2013217. \n                    https:\/\/doi.org\/10.1177\/096228029500400303","journal-title":"Stat Methods Med Res"},{"issue":"2","key":"1934_CR61","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1007\/s11750-010-0155-7","volume":"18","author":"P Taylan","year":"2010","unstructured":"Taylan P, Weber G-W, Yerlikaya \u00d6zkurt F (2010) A new approach to multivariate adaptive regression splines by using Tikhonov regularization and continuous optimization. TOP 18(2):377\u2013395. \n                    https:\/\/doi.org\/10.1007\/s11750-010-0155-7","journal-title":"TOP"},{"key":"1934_CR62","doi-asserted-by":"publisher","unstructured":"MacLeod R, Taccardi B, Lux R (1995) Electrocardiographic mapping in a realistic torso tank preparation. In: Proceedings of 17th international conference of the engineering in medicine and biology society, vol. 1. IEEE, pp 245\u2013246. \n                    https:\/\/doi.org\/10.1109\/IEMBS.1995.575092","DOI":"10.1109\/IEMBS.1995.575092"},{"issue":"3","key":"1934_CR63","doi-asserted-by":"publisher","first-page":"270","DOI":"10.1109\/TBME.1978.326332","volume":"25","author":"RL Lux","year":"1978","unstructured":"Lux RL, Smith CR, Wyatt RF, Abildskov JA (1978) Limited lead selection for estimation of body surface potential maps in electrocardiography. IEEE Trans Biomed Eng 25(3):270\u20136. \n                    https:\/\/doi.org\/10.1109\/TBME.1978.326332","journal-title":"IEEE Trans Biomed Eng"},{"issue":"3","key":"1934_CR64","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1109\/TBME.1986.325711","volume":"33","author":"PC Stanley","year":"1986","unstructured":"Stanley PC, Pilkington TC, Morrow MN (1986) The effects of thoracic inhomogeneities on the relationship between epicardial and torso potentials. IEEE Trans Biomed Eng 33(3):273\u2013284. \n                    https:\/\/doi.org\/10.1109\/TBME.1986.325711","journal-title":"IEEE Trans Biomed Eng"},{"issue":"2","key":"1934_CR65","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1046\/j.1540-8167.2001.00229.x","volume":"12","author":"C Ramanathan","year":"2001","unstructured":"Ramanathan C, Rudy Y (2001) Electrocardiographic imaging: I. effect of torso inhomogeneities on body surface electrocardiographic potentials. J Cardiovasc Electrophysiol 12(2):229\u2013240. \n                    https:\/\/doi.org\/10.1046\/j.1540-8167.2001.00229.x","journal-title":"J Cardiovasc Electrophysiol"},{"issue":"8","key":"1934_CR66","doi-asserted-by":"publisher","first-page":"706","DOI":"10.1109\/10.605427","volume":"44","author":"RN Klepfer","year":"1997","unstructured":"Klepfer RN, Johnson CR, Macleod RS (1997) The effects of inhomogeneities and anisotropies on electrocardiographic fields: a 3-D finite-element study. IEEE Trans Biomed Eng 44(8):706\u2013719. \n                    https:\/\/doi.org\/10.1109\/10.605427","journal-title":"IEEE Trans Biomed Eng"},{"key":"1934_CR67","doi-asserted-by":"publisher","unstructured":"MacLeod R, Johnson C (1993) Map3d: interactive scientific visualization for bioengineering data. In: Proceedings of the 15th annual international conference of the ieee engineering in medicine and biology societ. IEEE, pp 30\u201331. \n                    https:\/\/doi.org\/10.1109\/IEMBS.1993.978414","DOI":"10.1109\/IEMBS.1993.978414"},{"issue":"11","key":"1934_CR68","doi-asserted-by":"publisher","first-page":"1622","DOI":"10.1109\/TMI.2008.929094","volume":"27","author":"C Han","year":"2008","unstructured":"Han C, Liu Z, Zhang X, Pogwizd S, He B (2008) Noninvasive three-dimensional cardiac activation imaging from body surface potential maps: a computational and experimental study on a rabbit model. IEEE Trans Med Imaging 27(11):1622\u20131630. \n                    https:\/\/doi.org\/10.1109\/TMI.2008.929094","journal-title":"IEEE Trans Med Imaging"},{"issue":"7","key":"1934_CR69","doi-asserted-by":"publisher","first-page":"1058","DOI":"10.1016\/j.hrthm.2018.02.024","volume":"15","author":"LR Bear","year":"2018","unstructured":"Bear LR, Huntjens PR, Walton RD, Bernus O, Coronel R, Dubois R (2018) Cardiac electrical dyssynchrony is accurately detected by noninvasive electrocardiographic imaging. Heart Rhythm 15(7):1058\u20131069. \n                    https:\/\/doi.org\/10.1016\/j.hrthm.2018.02.024","journal-title":"Heart Rhythm"},{"key":"1934_CR70","doi-asserted-by":"publisher","unstructured":"Messinger-Rapport BJ, Rudy Y (1986) The inverse problem in electrocardiography: a model study of the effects of geometry and conductivity parameters on the reconstruction of epicardial potentials. IEEE Trans Biomed Eng BME-33(7):667\u2013676. \n                    https:\/\/doi.org\/10.1109\/TBME.1986.325756","DOI":"10.1109\/TBME.1986.325756"},{"issue":"8","key":"1934_CR71","doi-asserted-by":"publisher","first-page":"827","DOI":"10.1109\/10.30808 https:\/\/doi.org\/10.1109\/10.30808","volume":"36","author":"GJ Huiskamp","year":"1989","unstructured":"Huiskamp GJ, van Oosterom A (1989) Tailored versus realistic geometry in the inverse problem of electrocardiography. IEEE Trans Biomed Eng 36(8):827\u201335. \n                    https:\/\/doi.org\/10.1109\/10.30808","journal-title":"IEEE Trans Biomed Eng"},{"issue":"12","key":"1934_CR72","doi-asserted-by":"publisher","first-page":"1192","DOI":"10.1109\/10.476126","volume":"42","author":"RD Throne","year":"1995","unstructured":"Throne RD, Olson LG (1995) The effects of errors in assumed conductivities and geometry on numerical solutions to the inverse problem of electrocardiography. IEEE Trans Biomed Eng 42(12):1192\u20131200. \n                    https:\/\/doi.org\/10.1109\/10.476126","journal-title":"IEEE Trans Biomed Eng"},{"key":"1934_CR73","doi-asserted-by":"publisher","unstructured":"Schulze WHW, Potyagaylo D, Schimpf R, Papavassiliu T, Tulumen E, Rudic B, D\u00f6ssel O (2015) A simulation dataset for ECG imaging of paced beats with models for transmural, endo- and epicardial and pericardial source imaging, (November), 1\u20136. \n                    https:\/\/doi.org\/10.13140\/RG.2.1.1946.8568","DOI":"10.13140\/RG.2.1.1946.8568"}],"container-title":["Medical & Biological Engineering & Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11517-018-1934-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11517-018-1934-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11517-018-1934-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,12,2]],"date-time":"2019-12-02T08:06:11Z","timestamp":1575273971000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11517-018-1934-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,12,1]]},"references-count":73,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2019,5]]}},"alternative-id":["1934"],"URL":"https:\/\/doi.org\/10.1007\/s11517-018-1934-9","relation":{},"ISSN":["0140-0118","1741-0444"],"issn-type":[{"value":"0140-0118","type":"print"},{"value":"1741-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,12,1]]},"assertion":[{"value":"26 March 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 November 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 December 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}