Contents

Doklady Mathematics

Vol. 110, No. 1, 2024

Introductory Words of AI Journey Team

p. S1  abstract

Digital World, Mathematics, and Education

Academician of the RAS A. L. Semenov p. S2  abstract

Search for Optimal Architecture of Physics-Informed Neural Networks Using Differential Evolution Algorithm

F. A. Buzaev, D. S. Efremenko, I. A. Chuprov, Ya. N. Khassan, E. N. Kazakov, and J. Gao p. S8  abstract

Solution of the Multimode Nonlinear Schrödinger Equation Using Physics-Informed Neural Networks

I. A. Chuprov, J. Gao, D. S. Efremenko, F. A. Buzaev, and V. V. Zemlyakov p. S15  abstract

Machine Search Problem for Mathematical Expression

A. I. Diveev, and E. A. Sofronova p. S25  abstract

Neural Network Image Classifiers Informed by Factor Analyzers

A. M. Dostovalova, and A. K. Gorshenin p. S35  abstract

Railway Infrastructure Detection Based on YOLOv8 with NPU Acceleration

V. A. Fedorov p. S42  abstract

Unraveling the Hessian: A Key to Smooth Convergence in Loss Function Landscapes

N. S. Kiselev, and A. V. Grabovoy p. S49  abstract

Empirical Approach to Sample Size Estimation for Testing of AI Algorithms

M. R. Kodenko, T. M. Bobrovskaya, R. V. Reshetnikov, K. M. Arzamasov, A. V. Vladzymyrskyy, O. V. Omelyanskaya, and Yu. A. Vasilev p. S62  abstract

Generating Survival Interpretable Trajectories and Data

A. V. Konstantinov, S. R. Kirpichenko, and L. V. Utkin p. S75  abstract

Application of Metaheuristic Algorithms for Optimization of Recloser Placement in a Power Supply System with Distributed Generation

N. N. Sergeev, and P. V. Matrenin p. S87  abstract

Prediction of Industrial Cyber Attacks Using Normalizing Flows

V. P. Stepashkina, and M. I. Hushchyn p. S95  abstract

Stratified Statistical Models in Hardware Reliability Analysis

I. A. Vasilev, I. O. Filimonova, M. I. Petrovskiy, and I. V. Mashechkin p. S103  abstract

Review of Multimodal Environments for Reinforcement Learning

Z. A. Volovikova, M. P. Kuznetsova, A. A. Skrynnik, and A. I. Panov p. S110  abstract

Multimodal 3D Map Reconstruction for Intelligent Robotcs Using Neural Network-Based Methods

D. A. Yudin p. S117  abstract

Universal Representations for Well-Logging Data via Ensembling of Self-Supervised Models

V. A. Zholobov, E. D. Romanenkova, S. A. Egorov, N. A. Gevorgyan, and A. A. Zaytsev p. S126  abstract

CRAFT: Cultural Russian-Oriented Dataset Adaptation for Focused Text-to-Image Generation

V. A. Vasilev, V. S. Arkhipkin, J. D. Agafonova, T. V. Nikulina, E. O. Mironova, A. A. Shichanina, N. A. Gerasimenko, M. A. Shoytov, and D. V. Dimitrov p. S137  abstract

Heterogeneous Computational Scheduling Using Adaptive Neural Hyper-Heuristic

A. Allahverdyan, A. Zhadan, I. Kondratov, O. Petrosian, A. Romanovskii, V. Kharin, and Yin Li p. S151  abstract

SwiftDepth++: An Efficient and Lightweight Model for Accurate Depth Estimation

Y. Dayoub, and I. Makarov p. S162  abstract

About Modifications of the Loss Function for the Causal Training of Physics-Informed Neural Networks

V. A. Es’kin, D. V. Davydov, E. D. Egorova, A. O. Malkhanov, M. A. Akhukov, and M. E. Smorkalov p. S172  abstract

SciRus: Tiny and Powerful Multilingual Encoder for Scientific Texts

N. Gerasimenko, A. Vatolin, A. Ianina, and K. Vorontsov p. S193  abstract

Stack More LLM’s: Efficient Detection of Machine-Generated Texts via Perplexity Approximation

G. M. Gritsai, I. A. Khabutdinov, and A. V. Grabovoy p. S203  abstract

Neural Network-Based Coronary Dominance Classification of RCA Angiograms

I. Kruzhilov, E. Ikryannikov, A. Shadrin, R. Utegenov, G. Zubkova, and I. Bessonov p. S212  abstract

Environments for Automatic Curriculum Learning: A Short Survey

M. I. Nesterova, A. A. Skrynnik, and A. I. Panov p. S223  abstract

MDS-ViTNet: Improving Saliency Prediction for Eye-Tracking with Vision Transformer

I. Polezhaev, I. Goncharenko, and N. Iurina p. S230  abstract

An Empirical Scrutinization of Four Crisp Clustering Methods with Four Distance Metrics and One Straightforward Interpretation Rule

T. A. Alvandyan, and S. Shalileh p. S236  abstract

RuSciBench: Open Benchmark for Russian and English Scientific Document Representations

A. Vatolin, N. Gerasimenko, A. Ianina, and K. Vorontsov p. S251  abstract

Zero Order Algorithm for Decentralized Optimization Problems

A. S. Veprikov, E. D. Petrov, G. V. Evseev, and A. N. Beznosikov p. S261  abstract

Deep Learning-Driven Approach for Handwritten Chinese Character Classification

B. Kriuk, and F. Kriuk p. S278  abstract

Hiding Backdoors within Event Sequence Data via Poisoning Attacks

A. Ermilova, E. Kovtun, D. Berestnev, and A. Zaytsev p. S288  abstract

Deforming Implicit Neural Representation Generative Adversarial Network for Unsupervised Appearence Editing

S. Ignatiev, V. Egiazarian, R. Rakhimov, and E. Burnaev p. S299  abstract

Rethinking Graph Classification Problem in Presence of Isomorphism

S. Ivanov, S. Sviridov, and E. Burnaev p. S312  abstract