• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Book chapter
  • On the Periodic Behavior of Neural Network Training with Batch Normalization and Weight Decay
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 2028
  • 2027
  • 2026
  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1984
  • 1983
  • 1982
  • 1981
  • 1980
  • 1979
  • 1978
  • 1977
  • 1976
  • 1975
  • 1974
  • 1973
  • 1972
  • 1971
  • 1970
  • 1969
  • 1968
  • 1967
  • 1966
  • 1965
  • 1964
  • 1963
  • 1958
  • More
Subject
News
October 7, 2026
‘Our Team Consists of True Leaders in Their Respective Academic Disciplines
The HSE International Centre of Decision Choice and Analysis studies a wide range of methods for analysing decision-making and possible scenarios for the development of natural, socio-economic, and political phenomena using various mathematical models. The application of advanced mathematical methods to forecasting helps to prevent negative outcomes and avoid erroneous decisions. The HSE News Service spoke to the centre’s director, Prof. Fuad Aleskerov, about its work.
October 6, 2026
International N5 Symposium ‘Neural Networks and Nonlinearity in Nizhny Novgorod Brings Together Scientists from Russia and Serbia
The International N5 Symposium ‘Neural Networks and Nonlinearity in Nizhny Novgorod’ was held at the Nizhny Novgorod House of Scientists from September 23 to 26. The event was organised by HSE University–Nizhny Novgorod and the Nizhny Novgorod House of Scientists, with the participation of Sberbank and the Institute of Physics Belgrade. The symposium was held for the second time: the first conference took place in 2025 and attracted considerable interest from the academic community.
October 5, 2026
‘The Climate Transition Is Not Necessarily a Limitation for Business
Linara Khadimullina works in the field of low-carbon development. In an interview with the Young Scientists of HSE project, she spoke about why nature is not just a beautiful backdrop, her research on the role of sustainable corporate governance in reducing greenhouse gas emissions, and growing plants as a source of inspiration.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

On the Periodic Behavior of Neural Network Training with Batch Normalization and Weight Decay

P. 21545–21556.
Lobacheva E., Kodryan M., Chirkova N., Malinin A., Vetrov D.
Language: English
Text on another site
Keywords: deep neural networksbatch normalization

In book

Advances in Neural Information Processing Systems 34 (NeurIPS 2021)
Curran Associates, Inc., 2021.
Similar publications
Shape-aware deep learning for models of production
Prokhorov A., Wei Z., Sang H. et al., Journal of Productivity Analysis 2026 Vol. 65 P. 1–16
The stochastic frontier model (SFM) is widely employed in the analysis of productivity and efficiency, yet strict parametric forms, such as the Cobb-Douglas and Translog functions, are often assumed for modeling production, leading to potential misspecification issues. While semi- and nonparametric SFMs offer greater flexibility, they face challenges in imposing monotonicity and concavity to maintain ...
Added: September 28, 2026
Ансамбль современных моделей компьютерного зрения для задачи обнаружения дипфейков
Pikul A. S., Безопасность информационных технологий 2024 Т. 31 № 4 С. 116–127
This article explores the potential use of modern computer vision architectures for the task of deepfake detection. The following architectures are considered: EfficientNet, Vision Transformer (ViT), VisionLSTM (ViL), Vision KAN, and Mamba Vision. The novelty of the approach lies in the application and comparison of these architectures, as well as their combination into paired ensembles ...
Added: December 12, 2025
The Appliance of Deep Neural Networks in the Process of Managing Chemical Enterprises
Kulyasova E. V., Kulyasov N.S., Puchkov A. Y., , in: Journal of Physics: Conference Series Volume 1260, 2019 Mechanical Science and Technology Update 23–24 April 2019, Omsk, Russian Federation.: IOP Publishing, 2019. Ch. 3 P. 032024–032024.
This article is introduced into the perspective tendencies of the digital transformation of chemical enterprises which allow to improve the process of managing enterprises of the branch. Presented the algorithms of managing and technological information processing based on deep neural network apparatus. New approaches to data processing known as video analytics are applied; it allows ...
Added: September 27, 2024
Loss function dynamics and landscape for deep neural networks trained with quadratic loss
Nakhodnov M., Kodryan M., Lobacheva E. et al., , in: Doklady MathematicsVol. 106. Issue 1: Supplement.: Pleiades Publishing, Ltd. (Плеадес Паблишинг, Лтд), 2023. P. 43–62.
Knowledge of the loss landscape geometry makes it possible to successfully explain the behavior of neural networks, the dynamics of their training, and the relationship between resulting solutions and hyperparameters, such as the regularization method, neural network architecture, or learning rate schedule. In this paper, the dynamics of learning and the surface of the standard ...
Added: June 9, 2023
Training Scale-Invariant Neural Networks on the Sphere Can Happen in Three Regimes
Kodryan M., Lobacheva E., Nakhodnov M. et al., , in: Thirty-Sixth Conference on Neural Information Processing Systems : NeurIPS 2022.: Curran Associates, Inc., 2022. P. 14058–14070.
A fundamental property of deep learning normalization techniques, such as batch normalization, is making the pre-normalization parameters scale invariant. The intrinsic domain of such parameters is the unit sphere, and therefore their gradient optimization dynamics can be represented via spherical optimization with varying effective learning rate (ELR), which was studied previously. However, the varying ELR ...
Added: December 20, 2022
Simultaneous approximation of a smooth function and its derivatives by deep neural networks with piecewise-polynomial activations
Belomestny D., Naumov A., Puchkin N. et al., Neural Networks 2023 Vol. 161 P. 242–253
This paper investigates the approximation properties of deep neural networks with piecewise-polynomial activation functions. We derive the required depth, width, and sparsity of a deep neural network to approximate any Hölder smooth function up to a given approximation error in Hölder norms in such a way that all weights of this neural network are bounded ...
Added: July 13, 2022
Gender domain adaptation for automatic speech recognition
Sokolov A., Savchenko A., , in: 2021 IEEE 19th World Symposium on Applied Machine Intelligence and Informatics (SAMI).: IEEE, 2021. P. 413–418.
This paper is focused on the finetuning of acoustic models for speaker adaptation goals on a given gender. We pretrained the Transformer baseline model on Librispeech-960 and conducted experiments with finetuning on the gender-specific test subsets. The obtained word error rate (WER) relatively to the baseline is up to 5% and 3% lower on male ...
Added: September 26, 2021
Black-Box Optimization with Local Generative Surrogates
Belavin V., Ustyuzhanin A., Sergey Shirobokov et al., , in: Advances in Neural Information Processing Systems 33 (NeurIPS 2020).: Curran Associates, Inc., 2020. P. 14650–14662.
Added: February 14, 2021
On the Impact of Word Error Rate on Acoustic-Linguistic Speech Emotion Recognition: An Update for the Deep Learning Era
Sokolov A., / Series Computer Science "arxiv.org". 2021.
Text encodings from automatic speech recognition (ASR) transcripts and audio representations have shown promise in speech emotion recognition (SER) ever since. Yet, it is challenging to explain the effect of each information stream on the SER systems. Further, more clarification is required for analysing the impact of ASR's word error rate (WER) on linguistic emotion ...
Added: November 17, 2020
On Power Laws in Deep Ensembles
Lobacheva E., Chirkova N., Kodryan M. et al., , in: Advances in Neural Information Processing Systems 33 (NeurIPS 2020).: Curran Associates, Inc., 2020. P. 2375–2385.
Added: October 29, 2020
Structured Sparsification of Gated Recurrent Neural Networks
Lobacheva E., Chirkova N., Markovich A. et al., , in: Thirty-Fourth AAAI Conference on Artificial IntelligenceVol. 34.: AAAI Press, 2020. Ch. 5938 P. 4989–4996.
Added: October 29, 2020
Improving the Accuracy of One-Shot Detectors for Small Objects in X-ray Images
Demochkina P., Savchenko A., , in: Proceedings of IEEE International Russian Automation Conference (RusAutoCon 2020).: IEEE, 2020. Ch. 110 P. 610–614.
In this paper, we address the problem of detecting small objects on high-quality X-ray imagesusing deep neural networks. We propose to implement the two-stage approach, in which, firstly, input image issplit into partially overlapping blocks to make small objects more discriminative for detection. Secondly, the small blocks are fed into conventional single-shot detectors. These detectors ...
Added: October 3, 2020
Probabilistic Neural Network With Complex Exponential Activation Functions in Image Recognition
Savchenko A., IEEE Transactions on Neural Networks and Learning Systems 2020 Vol. 31 No. 2 P. 651–660
If the training data set in image recognition task is not very large, the feature extraction with a convolutional neural network is usually applied. Here, we focus on the nonparametric classification of extracted feature vectors using the probabilistic neural network (PNN). The latter is characterized by the high runtime and memory space complexity. We propose ...
Added: November 1, 2019
Automatic Privacy Detection in Scanned Document Images Based on Deep Neural Networks
Kopeykina Lyudmila, Savchenko A., , in: 2019 International Russian Automation Conference (RusAutoCon).: IEEE, 2019. P. 1–6.
The authors consider the problem of automatic detection of private scanned documents based on text recognition with deep neural networks. The paper suggests implementing a two-phase approach with the first stage which includes efficient EAST text detection and recognition using Tesseract OCR Engine. Secondly, the authors classify the privacy of a scanned document by deep ...
Added: October 21, 2019
Voice command recognition in intelligent systems using deep neural networks
Sokolov A., Savchenko A., , in: 17th World Symposium on Applied Machine Intelligence and Informatics (SAMI).: IEEE, 2019. Ch. 19 P. 113–116.
In this article, we focus on the isolated voice command recognition for autonomous man-machine and intelligent robotic systems. We propose to create a grammar model for a small testing command set with self-loops for each state to return blank symbols for noise and out-of-vocabulary words. In addition, we use single arc connected beginning and ending ...
Added: October 21, 2019
Advances in Computational Intelligence. IWANN 2019
Berlin: Springer, 2019.
This two-volume set LNCS 10305 and LNCS 10306 constitutes the refereed proceedings of the 15th International Work-Conference on Artificial Neural Networks, IWANN 2019, held at Gran Canaria, Spain, in June 2019. The 150 revised full papers presented in this two-volume set were carefully reviewed and selected from 210 submissions. The papers are organized in topical sections ...
Added: July 29, 2019
Loss Surfaces, Mode Connectivity, and Fast Ensembling of DNNs
Garipov T., Izmailov P., Подоприхин Д. А. et al., , in: Advances in Neural Information Processing Systems 31 (NIPS 2018).: [б.и.], 2018. P. 1–10.
The loss functions of deep neural networks are complex and their geometric properties are not well understood. We show that the optima of these complex loss functions are in fact connected by simple curves over which training and test accuracy are nearly constant. We introduce a training procedure to discover these high-accuracy pathways between modes. ...
Added: February 27, 2019
Применение алгоритмов машинного обучения при решении задач информационной безопасности
Nazarov A., Виноградов Ю. В., Сычев А. К., Системы высокой доступности 2018 Т. 14 № 4 С. 20–22
The article studies the use of machine learning algorithms in solving information security problems, namely, in the construction of next-generation intrusion detection systems (IDS). The main drawbacks of traditional IDS (based on signature rules) are considered and methods for their solution are proposed using the algorithms of machine learning. The article presents new methods of ...
Added: February 26, 2019
Uncertainty Estimation via Stochastic Batch Normalization
Ashukha A., Vetrov D., Molchanov D. et al., , in: Workshop of the 6th International Conference on Learning Representations (ICLR).: International Conference on Learning Representations, ICLR, 2018. P. 1–6.
In this work, we investigate Batch Normalization technique and propose its probabilistic interpretation. We propose a probabilistic model and show that Batch Normalization maximazes the lower bound of its marginalized log-likelihood. Then, according to the new probabilistic model, we design an algorithm which acts consistently during train and test. However, inference becomes computationally inefficient. To ...
Added: October 31, 2018
Proceedings of the 6th International Conference on Learning Representations (ICLR 2018)
[б.и.], 2018.
Proceedings of the 6th International Conference on Learning Representations (ICLR 2018) ...
Added: October 29, 2018
  • About
  • About
  • Key Figures & Facts
  • Sustainability at HSE University
  • Faculties & Departments
  • International Partnerships
  • Faculty & Staff
  • HSE Buildings
  • HSE University for Persons with Disabilities
  • Public Enquiries
  • Studies
  • Admissions
  • Programme Catalogue
  • Undergraduate
  • Graduate
  • Exchange Programmes
  • Summer University
  • Summer Schools
  • Semester in Moscow
  • Business Internship
  • Research
  • International Laboratories
  • Research Centres
  • Research Projects
  • Monitoring Studies
  • Conferences & Seminars
  • Academic Jobs
  • Yasin (April) International Academic Conference on Economic and Social Development
  • Media & Resources
  • Publications by staff
  • HSE Journals
  • Publishing House
  • iq.hse.ru: commentary by HSE experts
  • Library
  • Economic & Social Data Archive
  • Video
  • HSE Repository of Socio-Economic Information
  • HSE1993–2026
  • Contacts
  • Copyright
  • Privacy Policy
  • Site Map
Edit