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Список литературы
|
|
|
1. |
Хьюбер П., Робастность в статистике, М., 1984 |
2. |
Шибзухов З. М., “Агрегирующие корректные операции над алгоритмами”, Докл. РАН., 91:3 (2015), 391–393 |
3. |
Beliakov G., Kelarev A., Yearwood J., Robust artificial neural networks and outlier detection, arXiv: 1110.0169v1 [math.OC] |
4. |
Beliakov G. , Sola H., Calvo T., A Practical Guide to Averaging Functions, Springer, 2016 |
5. |
Calvo T., Beliakov G., “Aggregation functions based on penalties”, Fuzzy Sets Syst., 161:10 (2010), 1420–1436 |
6. |
Grabich M., Marichal J.-L., Pap E., Aggregation Functions, Cambridge Univ. Press, Cambridge, 2009 |
7. |
Huber P. J., Robust Statistics, Wiley, New York, 1981 |
8. |
Knigma D. P., Ba J., Adam: A Method for Stochastic Optimization, arXiv: 1412.6980 [cs.LG] |
9. |
Koenker R., Quantile regression, Campridge Univ. Press, New York, 2005 |
10. |
Ma Y., Li L., Huang X., Wang S., “Robust support vector machine using least median loss penalty”, IFAC Proc. Vols., 44:1 (2011), 11208–11213 |
11. |
Mesiar R., Komornikova M., Kolesarova A., Calvo T., “Aggregation functions: A revision”, Fuzzy Sets and Their Extensions: Representation, Aggregation and Models, eds. Bustince H., Herrera F., Montero J., Springer, Berlin–Heidelberg, 2008 |
12. |
Newey W., Powell J., “Asymmetric least squares estimation and testing”, Econometrica., 55:4 (1987), 819–847 |
13. |
Rousseeuw P. J., “Least median of squares regression”, J. Am. Stat. Ass., 1984, no. 79, 871–880 |
14. |
Rousseeuw P. J., Leroy A. M., Robust regression and outlier detection, Wiley, New York, 1987 |
15. |
Schmidt M., Le Roux N., Bach F., “Minimizing finite sums with the stochastic average gradient”, Math. Program., 162:1-2 (2017), 83–112 |
16. |
Shibzukhov Z. M., “Correct aggregate operations with algorithms”, Pattern Recogn. Image Anal., 24:3 (2014), 377–382 |
17. |
Shibzukhov Z. M., “On the principle of empirical risk minimization based on averaging aggregation functions”, Dokl. Math., 96:2 (2017), 494–497 |
18. |
Vapnik V., The Nature of Statistical Learning Theory, Springer-Verlag, 2000 |
19. |
Yohai V. J., “High breakdown-point and high effciency robust estimates for regression”, Ann. Stat., 1987, no. 15, 642–656 |