{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,28]],"date-time":"2026-03-28T17:15:20Z","timestamp":1774718120301,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":42,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540719830","type":"print"},{"value":"9783540719847","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2007]]},"DOI":"10.1007\/978-3-540-71984-7_13","type":"book-chapter","created":{"date-parts":[[2007,5,30]],"date-time":"2007-05-30T15:37:34Z","timestamp":1180539454000},"page":"343-363","source":"Crossref","is-referenced-by-count":1,"title":["Generalization in Learning from Examples"],"prefix":"10.1007","author":[{"given":"V\u011bra","family":"K\u016frkov\u00e1","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"13_CR1_13","first-page":"821","volume":"28","author":"M A Aizerman","year":"1964","unstructured":"Aizerman M A, Braverman E M, Rozonoer L I (1964) Theoretical foundations of potential function method in pattern recognition learning. Automation and Remote Control 28:821-837","journal-title":"Automation and Remote Control"},{"key":"13_CR2_13","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1090\/S0002-9947-1950-0051437-7","volume":"68","author":"N Aronszajn","year":"1950","unstructured":"Aronszajn N (1950) Theory of reproducing kernels. Transactions of AMS 68:33-404","journal-title":"Transactions of AMS"},{"key":"13_CR3_13","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1128-0","volume-title":"Harmonic Analysis on Semigroups","author":"C Berg","year":"1984","unstructured":"Berg C, Christensen J P R, Ressel P (1984) Harmonic Analysis on Semigroups. New York, Springer-Verlag"},{"key":"13_CR4_13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0065-2539(08)60946-4","volume":"75","author":"M Bertero","year":"1989","unstructured":"Bertero M (1989) Linear inverse and ill-posed problems. Advances in Electronics and Electron Physics 75:1-120","journal-title":"Advances in Electronics and Electron Physics"},{"key":"13_CR5_13","doi-asserted-by":"crossref","unstructured":"Bjorck A (1996) Numerical methods for least squares problem. SIAM","DOI":"10.1137\/1.9781611971484"},{"key":"13_CR6_13","doi-asserted-by":"crossref","unstructured":"Boser B, Guyon I, Vapnik V N (1992) A training algorithm for optimal margin clasifiers. In Proceedings of the 5th Annual ACM Workshop on Computational Learning Theory (Ed. Haussler D), pp. 144-152. ACM Press","DOI":"10.1145\/130385.130401"},{"key":"13_CR7_13","first-page":"273","volume":"20","author":"C Cortes","year":"1995","unstructured":"Cortes C, Vapnik V N (1995) Support-vector networks. Machine Learning 20:273-297","journal-title":"Machine Learning"},{"key":"13_CR8_13","volume-title":"Methods of Mathematical Physics","author":"R Courant","year":"1962","unstructured":"Courant R, Hilbert D (1962) Methods of Mathematical Physics, vol. 2. New York, Wiley"},{"key":"13_CR9_13","volume-title":"An Introduction to Support Vector Machines","author":"N Cristianini","year":"2000","unstructured":"Cristianini N, Shawe-Taylor J (2000) An Introduction to Support Vector Machines. Cambridge, Cambridge University Press"},{"key":"13_CR10_13","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1090\/S0273-0979-01-00923-5","volume":"39","author":"F Cucker","year":"2002","unstructured":"Cucker F, Smale S (2002) On the mathematical foundations of learning. Bulletin of the AMS 39:1-49","journal-title":"Bulletin of the AMS"},{"key":"13_CR11_13","first-page":"346","volume-title":"Inverse Problems in Scattering and Imaging","author":"C Mol De","year":"1992","unstructured":"De Mol C (1992) A critical survey of regularized inversion method. In Inverse Problems in Scattering and Imaging (Eds. Bertero M, Pike E R), pp. 346-370. Bristol, Adam Hilger"},{"key":"13_CR12_13","first-page":"883","volume":"6","author":"E Vito De","year":"2005","unstructured":"De Vito E, Rosasco L, Caponnetto A, De Giovannini U, Odone F (2005) Learning from examples as an inverse problem. Journal of Machine Learning Research 6:883-904","journal-title":"Journal of Machine Learning Research"},{"key":"13_CR13_13","doi-asserted-by":"publisher","first-page":"1060","DOI":"10.1126\/science.386516","volume":"206","author":"G Di Chiro","year":"1979","unstructured":"Di Chiro G, Brooks R A (1979) The 1979 Nobel prize in physiology or medicine. Science 206:1060-1062","journal-title":"Science"},{"key":"13_CR14_13","volume-title":"Linear Operators. Part II: Spectral Theory","author":"N Dunford","year":"1963","unstructured":"Dunford N, Schwartz J T (1963) Linear Operators. Part II: Spectral Theory. New York, Interscience Publishers"},{"key":"13_CR15_13","volume-title":"Regularization of Inverse Problems","author":"H W Engl","year":"2000","unstructured":"Engl H W, Hanke M, Neubauer A (2000) Regularization of Inverse Problems. Dordrecht, Kluwer"},{"key":"13_CR16_13","volume-title":"Modern Analysis","author":"A Friedman","year":"1982","unstructured":"Friedman A (1982) Modern Analysis. New York, Dover"},{"key":"13_CR17_13","doi-asserted-by":"publisher","first-page":"1455","DOI":"10.1162\/089976698300017269","volume":"10","author":"F Girosi","year":"1998","unstructured":"Girosi F (1998) An equivalence between sparse approximation and support vector machines. Neural Computation 10:1455-1480 (AI Memo No 1606, MIT)","journal-title":"Neural Computation"},{"key":"13_CR18_13","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1162\/neco.1995.7.2.219","volume":"7","author":"F Girosi","year":"1995","unstructured":"Girosi F, Jones M, Poggio T (1995) Regularization theory and neural network architectures. Neural Computation 7:219-269","journal-title":"Neural Computation"},{"key":"13_CR19_13","volume-title":"Generalized Inverses of Linear Operators","author":"C W Groetch","year":"1977","unstructured":"Groetch C W (1977) Generalized Inverses of Linear Operators. New York, Dekker"},{"key":"13_CR20_13","first-page":"49","volume":"13","author":"J Hadamard","year":"1902","unstructured":"Hadamard J (1902) Sur les probl\u00e8mes aux d\u00e9riv\u00e9es partielles et leur signification physique. Bulletin of University of Princeton 13:49","journal-title":"Bulletin of University of Princeton"},{"key":"13_CR21_13","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898719697","volume-title":"Rank-Deficient and Discrete Ill-Posed Problems","author":"P C Hansen","year":"1998","unstructured":"Hansen P C (1998) Rank-Deficient and Discrete Ill-Posed Problems. Philadelphia, SIAM"},{"key":"13_CR22_13","volume-title":"Learning and Soft Computing","author":"V Kecman","year":"2001","unstructured":"Kecman V (2001) Learning and Soft Computing. Cambridge, MIT Press."},{"key":"13_CR23_13","first-page":"69","volume-title":"Advances in Learning Theory: Methods, Models and Applications","author":"V K\u016frkov\u00e1","year":"2003","unstructured":"K\u016frkov\u00e1 V (2003) High-dimensional approximation by neural networks. Chapter 4 in Advances in Learning Theory: Methods, Models and Applications (Eds. Suykens J et al.), pp. 69-88. Amsterdam, IOS Press"},{"key":"13_CR24_13","first-page":"1377","volume-title":"COMP-STAT 2004 - Proceedings on Computational Statistics","author":"V K\u016frkov\u00e1","year":"2004","unstructured":"K\u016frkov\u00e1 V (2004) Learning from data as an inverse problem. In: COMP-STAT 2004 - Proceedings on Computational Statistics (Ed. Antoch J), pp. 1377-1384. Heidelberg, Physica-Verlag\/Springer"},{"key":"13_CR25_13","doi-asserted-by":"publisher","first-page":"551","DOI":"10.1093\/jigpal\/jzi041","volume":"13","author":"V K\u016frkov\u00e1","year":"2005","unstructured":"K\u016frkov\u00e1 V (2005) Neural network learning as an inverse problem. Logic Journal of IGPL 13:551-559","journal-title":"Logic Journal of IGPL"},{"key":"13_CR26_13","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1137\/S1052623403426507","volume":"15","author":"V K\u016frkov\u00e1","year":"2005","unstructured":"K\u016frkov\u00e1 V, Sanguineti M (2005) Error estimates for approximate optimization by the extended Ritz method. SIAM Journal on Optimization 15:461-487","journal-title":"SIAM Journal on Optimization"},{"key":"13_CR27_13","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1016\/j.jco.2004.11.002","volume":"21","author":"V K\u016frkov\u00e1","year":"2005","unstructured":"K\u016frkov\u00e1 V, Sanguineti M (2005) Learning with generalization capability by kernel methods with bounded complexity. Journal of Complexity 21:350-367","journal-title":"Journal of Complexity"},{"key":"13_CR28_13","first-page":"394","volume":"26","author":"E H Moore","year":"1920","unstructured":"Moore E H (1920) Abstract. Bull. Amer. Math. Soc. 26:394-395","journal-title":"Abstract. Bull. Amer. Math. Soc."},{"key":"13_CR29_13","doi-asserted-by":"publisher","first-page":"951","DOI":"10.1214\/aoms\/1177704840","volume":"32","author":"E Parzen","year":"1966","unstructured":"Parzen E (1966) An approach to time series analysis. Annals of Math. Statistics 32:951-989","journal-title":"Annals of Math. Statistics"},{"key":"13_CR30_13","doi-asserted-by":"publisher","first-page":"406","DOI":"10.1017\/S0305004100030401","volume":"51","author":"R Penrose","year":"1955","unstructured":"Penrose R (1955) A generalized inverse for matrices. Proc. Cambridge Philos. Soc. 51:406-413","journal-title":"Proc. Cambridge Philos. Soc."},{"key":"13_CR31_13","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-69894-1","volume-title":"n-width in Approximation Theory","author":"A Pinkus","year":"1985","unstructured":"Pinkus A (1985) n-width in Approximation Theory. Berlin, Springer-Verlag"},{"key":"13_CR32_13","doi-asserted-by":"publisher","first-page":"1481","DOI":"10.1109\/5.58326","volume":"78","author":"T Poggio","year":"1990","unstructured":"Poggio T, Girosi F (1990) Networks for approximation and learning. Proceedings IEEE 78:1481-1497","journal-title":"Proceedings IEEE"},{"key":"13_CR33_13","first-page":"536","volume":"50","author":"T Poggio","year":"2003","unstructured":"Poggio T, Smale S (2003) The mathematics of learning: dealing with data. Notices of the AMS 50:536-544","journal-title":"Notices of the AMS"},{"key":"13_CR34_13","volume-title":"The Logic of Scientific Discovery","author":"K Popper","year":"1968","unstructured":"Popper K (1968) The Logic of Scientific Discovery. New York, Harper Torch Book"},{"key":"13_CR35_13","doi-asserted-by":"crossref","first-page":"318","DOI":"10.7551\/mitpress\/5236.001.0001","volume-title":"Parallel Distributed Processing","author":"D E Rummelhart","year":"1986","unstructured":"Rummelhart D E, Hinton G E, Williams R J (1986) Learning internal representations by error propagation. In Parallel Distributed Processing (Eds. Rummelhart D E, McClelland J L), pp. 318-362. Cambridge, MIT Press"},{"key":"13_CR36_13","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-18904-3","volume-title":"The Forgotten Revolution","author":"L Russo","year":"2004","unstructured":"Russo L (2004) The Forgotten Revolution. Berlin, Springer-Verlag"},{"key":"13_CR37_13","volume-title":"Learning with Kernels - Support Vector Machines, Regularization, Optimization and Beyond","author":"B Sch\u00f6lkopf","year":"2002","unstructured":"Sch\u00f6lkopf B, Smola A J (2002) Learning with Kernels - Support Vector Machines, Regularization, Optimization and Beyond. Cambridge, MIT Press"},{"key":"13_CR38_13","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-010-9383-5","volume-title":"Husserl and Intentionality: A Study of Mind, Meaning, and Language","author":"D W Smith","year":"1982","unstructured":"Smith D W, McIntyre R (1982) Husserl and Intentionality: A Study of Mind, Meaning, and Language. Dordrecht and Boston, D. Reidel Publishing Co."},{"key":"13_CR39_13","doi-asserted-by":"crossref","DOI":"10.1142\/5314","volume-title":"A Quide to Distribution Theory and Fourier Transforms","author":"R S Strichartz","year":"2003","unstructured":"Strichartz R S (2003) A Quide to Distribution Theory and Fourier Transforms. Singapore, World Scientific"},{"key":"13_CR40_13","volume-title":"Solutions of Ill-posed Problems","author":"A N Tikhonov","year":"1977","unstructured":"Tikhonov A N, Arsenin V Y (1977) Solutions of Ill-posed Problems. Washington, D.C., W.H. Winston"},{"key":"13_CR41_13","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970128","volume-title":"Splines Models for Observational Data","author":"G Wahba","year":"1990","unstructured":"Wahba G (1990) Splines Models for Observational Data. Philadelphia, SIAM"},{"key":"13_CR42_13","first-page":"134","volume-title":"The Handbook of Brain Theory and Neural Networks","author":"P J Werbos","year":"1995","unstructured":"Werbos P J (1995) Backpropagation: Basics and New Developments. In The Handbook of Brain Theory and Neural Networks (Ed. Arbib M), pp. 134-139. Cambridge, MIT Press"}],"container-title":["Studies in Computational Intelligence","Challenges for Computational Intelligence"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-71984-7_13.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,19]],"date-time":"2020-11-19T05:27:41Z","timestamp":1605763661000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-71984-7_13"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007]]},"ISBN":["9783540719830","9783540719847"],"references-count":42,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-71984-7_13","relation":{},"ISSN":["1860-949X","1860-9503"],"issn-type":[{"value":"1860-949X","type":"print"},{"value":"1860-9503","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007]]}}}