Convergence Rate of Gradient-Concordant Methods for Smooth Unconstrained Optimization

Author:

Chernov AlexeyORCID,Lisachenko AnnaORCID

Publisher

Springer Nature Switzerland

Reference13 articles.

1. Ortega, J.M., Rheinbolt, W.G.: Iterative Solution of Nonlinear Equations in Several Variables. Academic Press, New York (1970)

2. Birjukov, A.G., Chernov, A.V.: Gradient-concordant methods for solving unconstrained minimization problems. In: Proceedings of MIPT, pp. 113–125 (2017). (in Russian)

3. Polyak, B.T.: Gradient methods for minimizing functionals. Zh. Vychisl. Mat. Mat. Fiz. 643–653 (1963). (in Russian)

4. Łojasiewicz., S.: A topological property of real analytic subsets. Coll. du CNRS, Les ’equations aux d’eriv’ees partielles, 87–89 (1963). (in French)

5. Ajalloeian, A., Stich, S.: Analysis of SGD with biased gradient estimators. In: Workshop on “Beyond First Order Methods in ML Systems” at the 37th ICML, Vienna, Austria (2020)

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