Diyora Salimova

Dr.

Note: Diyora Salimova is no longer with our group.

Publications

• Journal Papers and Manuscripts
  • A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drif
    A. Jentzen, D. Salimova, and T. Welti, Communications in Mathematical Sciences, Vol. 19, No. 5, pp. 1167–1205, July 2021.
  • Existence, uniqueness, and numerical approximations for stochastic Burgers equations
    S. Mazzonetto and D. Salimova, Stochastic Analysis and Applications, Vol. 38, No. 4, pp. 623-646, Jan. 2020.
  • Strong convergence for explicit space-time discrete numerical approximation methods for stochastic Burgers equations
    A. Jentzen, D. Salimova, and T. Welti, Journal of Mathematical Analysis and Applications, Vol. 469, Issue 2, pp. 661-704, Jan. 2019.
  • Strong convergence of full-discrete nonlinearity-truncated accelerated exponential Euler-type approximations for stochastic Kuramoto-Sivashinsky equations
    M. Hutzenthaler, A. Jentzen, and D. Salimova, Communications in Mathematical Sciences, Vol. 16, No. 6, pp. 1489-1529, 2018.
  • On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions
    M. Gerencsér, A. Jentzen, and D. Salimova, Proceedings of the Royal Society A, Vol. 473, Issue 2207, Nov. 2017.
  • On an inequality in \(l_p(\mathbb{C})\) involving Basel problem
    Z. Ibragimov and D. Salimova, Elemente der Mathematik, Vol. 70, Issue 2, pp. 79-81, Apr. 2015.

Supervised Theses

• Student Projects
  • Nairi, Emir, "Approximation Classes of Neural Networks and Applications to Kolmogorov PDEs," Spring semester 2021
    Supervisor(s): Diyora Salimova
  • Baggenstos, Jonas, "Approximation Properties of Residual Networks for Kolmogorov PDEs," Spring semester 2021
    Supervisor(s): Diyora Salimova