Minimizing robust estimates of sums of parameterized functions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part II, Tome 166 (2019), pp. 95-109

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We discuss the robust approach to constructing machine learning algorithms based on minimizing robust finite sums of parameterized functions. This algorithm is based on finite robust differentiable aggregation summation functions, which are stable with respect to outliers.
Keywords: robust algorithm, neural network, averaging aggregation function, iterative reweighing.
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     author = {Z. M. Shibzukhov},
     title = {Minimizing robust estimates of sums of parameterized functions},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {95--109},
     publisher = {mathdoc},
     volume = {166},
     year = {2019},
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     url = {http://geodesic.mathdoc.fr/item/INTO_2019_166_a9/}
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Z. M. Shibzukhov. Minimizing robust estimates of sums of parameterized functions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part II, Tome 166 (2019), pp. 95-109. http://geodesic.mathdoc.fr/item/INTO_2019_166_a9/