Contents

Doklady Mathematics


Vol. 108, No. 2, 2023


Introductory Words of AI Journey Team

p. S167  abstract

Artificial Intelligence in Society

Academician A. L. Semenov p. S168  abstract

Probability Calibration with Fuzzy Set Theory to Improve Early Cancer Detection

O. A. Filimonova, A. G. Ovsyannikov and N. V. Biryukova p. S179  abstract

Optimization of Physics-Informed Neural Networks for Solving the Nolinear Schrödinger Equation

I. Chuprov, Jiexing Gao, D. Efremenko, E. Kazakov, F. Buzaev and V. Zemlyakov p. S186  abstract

Deep Learning Approach to Classification of Acoustic Signals Using Information Features

P. V. Lysenko, I. A. Nasonov, Corresponding Member of the RAS A. A. Galyaev and L. M. Berlin p. S196  abstract

Adaptive Spectral Normalization for Generative Models

E. A. Egorov and A. I. Rogachev p. S205  abstract

Deep Metric Learning: Loss Functions Comparison

R. L. Vasilev and A. G. D’yakonov p. S215  abstract

Spectral Neural Operators

V. S. Fanaskov and I. V. Oseledets p. S226  abstract

A New Computationally Simple Approach for Implementing Neural Networks with Output Hard Constraints

A. V. Konstantinov and L. V. Utkin p. S233  abstract

Solving Large-Scale Routing Optimization Problems with Networks and Only Networks

A. G. Soroka and A. V. Meshcheryakov p. S242  abstract

Algorithms with Gradient Clipping for Stochastic Optimization with Heavy-Tailed Noise

M. Danilova p. S248  abstract

Towards Discovery of the Differential Equations

A. A. Hvatov and R. V. Titov p. S257  abstract

Towards Efficient Learning of GNNs on High-Dimensional Multilayered Representations of Tabular Data

A. V. Medvedev and A. G. Djakonov p. S265  abstract

Activations and Gradients Compression for Model-Parallel Training

M. I. Rudakov, A. N. Beznosikov, Ya. A. Kholodov and A. V. Gasnikov p. S272  abstract

Possibility of Recovering Message Segments Based on Side Information about Original Characters

A. G. Malashina p. S282  abstract

Neural Network Approach to the Problem of Predicting Interest Rate Anomalies under the Influence of Correlated Noise

G. A. Zotov and P. P. Lukianchenko p. S293  abstract

Min-Max Optimization over Slowly Time-Varying Graphs

Nhat Trung Nguyen, A. Rogozin, D. Metelev and A. Gasnikov p. S300  abstract

Automated System for Analysis of OCT Retina Images Development and Testing

L. E. Aksenova, K. D. Aksenov, E. V. Kozina and V. V. Myasnikova p. S310  abstract

Statistical Online Learning in Recurrent and Feedforward Quantum Neural Networks

S. V. Zuev p. S317  abstract

1-Dimensional Topological Invariants to Estimate Loss Surface Non-Convexity

D. S. Voronkova, S. A. Barannikov and E. V. Burnaev p. S325  abstract

Barcodes as Summary of Loss Function Topology

S. A. Barannikov, A. A. Korotin, D. A. Oganesyan, D. I. Emtsev and E. V. Burnaev p. S333  abstract

Optimal Analysis of Method with Batching for Monotone Stochastic Finite-Sum Variational Inequalities

A. Pichugin, M. Pechin, A. Beznosikov, A. Savchenko and A. Gasnikov p. S348  abstract

SpiderNet: Fully Connected Residual Network for Fraud Detection

S. V. Afanasiev, A. A. Smirnova and D. M. Kotereva p. S360  abstract

Automating the Temperament Assessment of Online Social Network Users

V. D. Oliseenko, A. O. Khlobystova, A. A. Korepanova and T. V. Tulupyeva p. S368  abstract

An Explained Artificial Intelligence-Based Solution to Identify Depression Severity Symptoms Using Acoustic Features

S. Shalileh, A. O. Koptseva, T. I. Shishkovskaya, M. V. Khudyakova and O. V. Dragoy p. S374  abstract

Hierarchical Method for Cooperative Multiagent Reinforcement Learning in Markov Decision Processes

V. E. Bolshakov and A. N. Alfimtsev p. S382  abstract

Accessible Russian Large Language Models: Open-Source Models and Instructive Datasets for Commercial Applications

D. P. Kosenko, Yu. M. Kuratov and D. R. Zharikova p. S393  abstract

Graph Models for Contextual Intention Prediction in Dialog Systems

D. P. Kuznetsov and D. R. Ledneva p. S399  abstract

Neural Networks for Coordination Analysis

A. I. Predelina, S. Yu. Dulikov and A. M. Alekseev p. S416  abstract

Text Reuse Detection in Handwritten Documents

A. V. Grabovoy, M. S. Kaprielova, A. S. Kildyakov, I. O. Potyashin, T. B. Seyil, E. L. Finogeev and Yu. V. Chekhovich p. S424  abstract

Artificially Generated Text Fragments Search in Academic Documents

G. M. Gritsay, A. V. Grabovoy, A. S. Kildyakov and Yu. V. Chekhovich p. S434  abstract

eco4cast: Bridging Predictive Scheduling and Cloud Computing for Reduction of Carbon Emissions for ML Models Training

M. Tiutiulnikov, V. Lazarev, A. Korovin, N. Zakharenko, I. Doroshchenko and S. Budennyy p. S443  abstract

MTS Kion Implicit Contextualised Sequential Dataset for Movie Recommendation

I. Safilo, D. Tikhonovich, A. V. Petrov and D. I. Ignatov p. S456  abstract

Optimal Data Splitting in Distributed Optimization for Machine Learning

D. Medyakov, G. Molodtsov, A. Beznosikov and A. Gasnikov p. S465  abstract

Machine Learning As a Tool to Accelerate the Search for New Materials for Metal-Ion Batteries

V. T. Osipov, M. I. Gongola, Ye. A. Morkhova, Corresponding Member of the RAS A. P. Nemudryi and A. A. Kabanov p. S476  abstract

Investigation of Neural Network Algorithms for Human Movement Prediction Based on LSTM and Transformers

S. V. Zhiganov, Y. S. Ivanov and D. M. Grabar p. S484  abstract

Safe Pretraining of Deep Language Models in a Synthetic Pseudo-Language

T. E. Gorbacheva and I. Y. Bondarenko p. S494  abstract

Do we Benefit from the Categorization of the News Flow in the Stock Price Prediction Problem?

T. D. Kulikova, E. Yu. Kovtun and S. A. Budennyy p. S503  abstract

No Two Users Are Alike: Generating Audiences with Neural Clustering for Temporal Point Processes

V. Zhuzhel, V. Grabar, N. Kaploukhaya, R. Rivera-Castro, L. Mironova, A. Zaytsev and E. Burnaev p. S511  abstract

ESGify: Automated Classification of Environmental, Social, and Corporate Governance Risks

A. Kazakov, S. Denisova, I. Barsola, E. Kalugina, I. Molchanova, I. Egorov, A. Kosterina, E. Tereshchenko, L. Shutikhina, I. Doroshchenko, N. Sotiriadi and S. Budennyy p. S529  abstract