Author

Shokhrukh Ibragimov

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Jul 2026

Unified convergence analysis for gradient descent optimization methods in the training of deep neural networks

This work provides a general unified convergence analysis for GD optimization methods in the training of DNNs with analytic activations such as the softplus and the popular Gaussian error linear unit (GeLU) activation.

Shokhrukh Ibragimov, Arnulf Jentzen · arXiv.org · 1 citation

Preprint Jul 2026

Landscape analysis for shallow neural networks: Complete classification of critical points for cubic activation and affine target functions

This paper shows that the infimum of the loss is always zero and achievable with at least $d$ active and visible hidden neurons -- that is, hidden neurons with non-zero inner and outer weights -- with pairwise distinct pivots, and provides for arbitrary activation degree $d$ a sharp existence/non-existence criterion fo...

Shokhrukh Ibragimov, Ilkhom Mukhammadiev, Diyora Salimova · 0 citations