Contents

Doklady Mathematics

Vol. 106, No. 1, 2022

AI: Why Mathematics? Preface of the Editor-in-Chief of the Doklady Mathematics Journal

Academician of the RAS A. L. Semenov p. S1  abstract

Opening Remarks of the AI Journey Team

p. S3  abstract

Results of Artificial Intelligence Research Centers

Intersectoral Artificial Intelligence Technologies: Search for and Implementation of Efficient Solutions

A. V. Kornaev, I. A. Nikanov and R. F. Kuleev p. S4  abstract

Trusted Artificial Intelligence: Challenges and Promising Solutions

D. Yu. Turdakov, Academician of the RAS A. I. Avetisyan, K. V. Arkhipenko, A. V. Antsiferova, D. S. Vatolin, S. S. Volkov, A. V. Gasnikov, D. A. Devyatkin, M. D. Drobyshevsky, A. P. Kovalenko, M. I. Krivonosov, N. V. Lukashevich, V. A. Malykh, S. I. Nikolenko, I. V. Oseledets, A. I. Perminov, I. V. Sochenkov, M. M. Tikhomirov, A. N. Fedotov and M. Yu. Khachay p. S9  abstract

Fundamental Research and Developments in the Field of Applied Artificial Intelligence

E. V. Burnaev, A. V. Bernstein, V. V. Vanovskiy, A. A. Zaytsev, A. M. Bulkin, V. Yu. Ignatiev, D. G. Shadrin, S. V. Illarionova, I. V. Oseledets, A. Yu. Mikhalev, A. A. Osiptsov, A. A. Artemov, M. G. Sharaev and I. E. Trofimov p. S14  abstract

Development of Applied Solutions Based on Artificial Intelligence for Technological Security Control

A. A. Masyutin, A. V. Savchenko, A. A. Naumov, S. V. Samsonov, D. N. Tiapkin, D. V. Belomestny, D. S. Morozova and D. A. Bad’ina p. S23  abstract

Intelligent Technologies for Digital Transformation of Industrial Production

A. V. Bukhanovskii p. S28  abstract

Prospects of Using Artificial Intelligence in Business Tasks

V. V. Kondrat’ev, I. O. Pivovarov, R. A. Gorbachev, V. V. Matyukhin, D. A. Kornev, D. A. Gavrilov, E. A. Tatarinova, V. E. Buzdin, I. M. Mikhailov and O. A. Potkin p. S35  abstract

Advanced Studies in Artificial Intelligence and Machine Learning

Loss Function Dynamics and Landscape for Deep Neural Networks Trained with Quadratic Loss

M. S. Nakhodnov, M. S. Kodryan, E. M. Lobacheva and D. S. Vetrov p. S43  abstract

Geometric Deep Learning for Design of Catalysts and Molecules

R. Yu. Lukin and R. A. Grigoriev p. S63  abstract

System Approach to the Study of State Policies and Formation of Ethics of Application of Artificial Intelligence Technologies: Global Atlas of Regulation

E. G. Chache, R. I. Dremlyuga, N. A. Tret’yakova and A. V. Neznamov p. S65  abstract

Scheduling in Multiagent Systems Using Reinforcement Learning

I. K. Minashina, R. A. Gorbachev and E. M. Zakharova p. S70  abstract

Planning and Learning in Multi-Agent Path Finding

K. S. Yakovlev, A. A. Andreychuk, A. A. Skrynnik and A. I. Panov p. S79  abstract

Application of Pretrained Large Language Models in Embodied Artificial Intelligence

A. K. Kovalev and A. I. Panov p. S85  abstract

Theoretical Prerequisites for Physically Justified Machine Learning and Its Applications to Fluid Dynamics

A. V. Kornaev, E. P. Kornaeva and I. S. Stebakov p. S91  abstract

AI Review of Polygraph Screenings

D. V. Asonov and M. A. Krylov p. S93  abstract

ruSciBERT: A Transformer Language Model for Obtaining Semantic Embeddings of Scientific Texts in Russian

N. A. Gerasimenko, A. S. Chernyavsky and M. A. Nikiforova p. S95  abstract

Incremental Learning of Topic Models for Finding Trend Topics in Scientific Publications

N. A. Gerasimenko, A. S. Chernyavsky, M. A. Nikiforova, M. D. Nikitin and K. V. Vorontsov p. S97  abstract

Computer Vision Approaches in High-Fidelity Multimedia Content Synthesis

A. V. Kuznetsov, D. V. Dimitrov, A. Yu. Groshev, P. P. Paramonov and A. A. Mal’tseva p. S99  abstract

Brain Principles Programming

E. Vityaev, A. Kolonin, A. Kurpatov and A. Molchanov p. S101  abstract

Digital Ark of Knowledge

V. V. Goryachko, A. S. Bubnov, E. V. Rayevskii and Academician of the RAS A. L. Semenov p. S113  abstract

eco2AI: Carbon Emissions Tracking of Machine Learning Models as the First Step Towards Sustainable AI

S. A. Budennyy, V. D. Lazarev, N. N. Zakharenko, A. N. Korovin, O. A. Plosskaya, D. V. Dimitrov, V. S. Akhripkin, I. V. Pavlov, I. V. Oseledets, I. S. Barsola, I. V. Egorov, A. A. Kosterina and L. E. Zhukov p. S118  abstract

FusionBrain: Research Project in Multimodal and Multitask Learning

D. V. Dimitrov, A. V. Kuznetsov, A. A. Mal’tseva and E. F. Goncharova p. S129  abstract