Academic Journal
Učení neuronových sítí jako inverzní úloha ; Neural nets learning as an inverse problem
| العنوان: | Učení neuronových sítí jako inverzní úloha ; Neural nets learning as an inverse problem |
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| المؤلفون: | Kůrková, Věra |
| بيانات النشر: | Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists |
| سنة النشر: | 2004 |
| المجموعة: | DML-CZ (Czech Digital Mathematics Library) |
| مصطلحات موضوعية: | keyword:machine learning, keyword:reproducing kernel, keyword:Hilbert space, msc:46E22, msc:47B32, msc:65J22, msc:68T05, msc:82N32 |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | Czech |
| تدمد: | 0032-2423 |
| Relation: | zbl:Zbl 1265.68146; reference:[1] Aronszajn, N.: Theory of reproducing kernels.Trans. Amer. Math. Soc. 68 (1950), 33–404. Zbl 0037.20701, MR 0051437, 10.1090/S0002-9947-1950-0051437-7; reference:[2] Berg, C., Christensen, J. P. R., Ressel, P.: Harmonic Analysis on Semigroups.Springer-Verlag, New York 1984. Zbl 0619.43001, MR 0747302; reference:[3] Bertero, M.: Linear inverse and ill-posed problems.Advances in Electronics and Electron Physics 75 (1989), 1–120.; reference:[4] Bjorck, A.: Numerical methods for least squares problem.SIAM 1996. MR 1386889; reference:[5] Cucker, F., Smale, S.: On the mathematical foundations of learning.Bull. Amer. Math. Soc. 39 (2001), 1–49. MR 1864085, 10.1090/S0273-0979-01-00923-5; reference:[6] Friedman, A.: Modern Analysis.Dover, New York 1982. Zbl 0557.46001, MR 0663003; reference:[7] Girosi, F.: An equivalence between sparse approximation and support vector machines.Neural Computation 10 (1998), 1455–1480 (AI Memo No 1606, MIT). 10.1162/089976698300017269; reference:[8] Groetch, C. W.: Generalized Inverses of Linear Operators.Dekker, New York 1977.; reference:[9] Kůrková, V.: High-dimensional approximation by neural networks.Chapter 4 in Advances in Learning Theory: Methods, Models and Applications (J. Stuykens et al., ed.) (2003), 69–88. IOS Press, Amsterdam.; reference:[10] Kůrková, V.: Learning from data as an inverse problem.In Proc. of COMPSTAT 2004 (J. Antoch, ed.), Physica-Verlag, Heidelberg, 1377–1384. MR 2173152; reference:[11] Kůrková, V., Sanguineti, M.: Error estimates for approximate optimization by the extended Ritz method.SIAM J. Optim. (to appear). MR 2144176; reference:[12] Kůrková, V., Sanguineti, M.: Learning with generalization capability by kernel methods with bounded complexity.J. Compl. (to appear). MR 2138445; reference:[13] Moore, E. H.: Abstract.Bulletin AMS 26 (1920), 394–395.; reference:[14] Narcowich, F. J., Sivakumar, N., Ward, J. D.: On condition numbers associated with radial-function interpolation.J. Math. Anal. Appl. 186 (1994), 457–485. Zbl 0813.65005, MR 1293005, 10.1006/jmaa.1994.1311; reference:[15] Parzen, E.: An approach to time series analysis.Annals Math. Statistics 32 (1966), 951–989. MR 0143315, 10.1214/aoms/1177704840; reference:[16] Penrose, R.: A generalized inverse for matrices.Proc. Cambridge Philos. Soc. 52 (1955), 406–413. Zbl 0065.24603, MR 0069793; reference:[17] Poggio, T., Girosi, F.: Networks for approximation and learning.Proc. IEEE 78 (1990), 1481–1497.; reference:[18] Poggio, T., Smale, S.: The mathematics of learning: dealing with data.Notices Amer. Math. Soc. 50 (2003), 536–544. Zbl 1083.68100, MR 1968413; reference:[19] Sejnowski, T. J., Rosenberg, C.: Parallel networks that learn to pronounce English text.Complex Systems 1 (1987), 145–168. Zbl 0655.68107; reference:[20] Tichonov, A. N., Arsenin, V. Y.: Solutions of Ill-posed Problems.W. H. Winston, Washington, D. C. 1977.; reference:[21] Wahba, G.: Splines Models for Observational Data.SIAM, Philadelphia 1990. MR 1045442; reference:[22] Werbos, P. J.: Backpropagation: Basics and New Developments.The Handbook of Brain Theory and Neural Networks (M. Arbib, ed.), 134–139. MIT Press, Cambridge 1995. |
| الاتاحة: | http://hdl.handle.net/10338.dmlcz/141231 |
| Rights: | access:Unrestricted ; rights:DML-CZ Czech Digital Mathematics Library, http://dml.cz/ ; rights:Institute of Mathematics AS CR, http://www.math.cas.cz/ ; conditionOfUse:http://dml.cz/use |
| رقم الانضمام: | edsbas.30813A8E |
| قاعدة البيانات: | BASE |
| تدمد: | 00322423 |
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