Multi-Timeframe Drummond Patches and JEPA Pre-Training for Short-Term Retail OHLC Series Forecasting
Main Article Content
Abstract
We propose a method for constructing scale-invariant representations of retail revenue time series based on three-bar Drummond Geometry (DG) computed over three adjacent periods, extended with a multi-timeframe context (day, partial calendar week, and a rolling 7-day window). Self-supervised pre-training on these “patches” is performed using a Joint-Embedding Predictive Architecture (JEPA) with spatiotemporal masking, followed by fine-tuning with output heads that quantify predictive uncertainty for next-day and next-week forecasts. The work analyzes the properties of affine invariance of the features and the identifiability of the weekly phase; empirical improvement over strong baseline models on real-world data is demonstrated.
Article Details
References
2. Lim B., Arik S.O., Loeff N., Pfister T. Temporal Fusion Transformers for interpretable multi-horizon time series forecasting // International Journal of Forecasting. 2021. Vol. 37, No. 4. P. 1748–1764. https://doi.org/10.1016/j.ijforecast.2021.03.012
3. Hyndman R.J., Athanasopoulos G. Forecasting: Principles and Practice. 2nd ed. Melbourne: OTexts, 2018. 380 p. Cited pp.: 183–220, 221–274, 347–368.
4. Oreshkin B.N., Carpov D., Chapados N., Bengio Y. N-BEATS: Neural basis expansion analysis for interpretable time series forecasting // arXiv preprint arXiv:1905.10437. 2019. https://doi.org/10.48550/arXiv.1905.10437; Challu C. et al. NHITS: Neural hierarchical interpolation for time series forecasting // Proceedings of the AAAI Conference on Artificial Intelligence. 2023. Vol. 37, No. 6. P. 6989–6997. https://doi.org/10.1609/aaai.v37i6.25854
5. Yue Zh. et al. TS2Vec: Towards Universal Representation of Time Series // Proceedings of the AAAI Conference on Artificial Intelligence. 2022. Vol. 36, No. 8. P. 8980–8987. https://doi.org/10.1609/aaai.v36i8.20881
6. Hearne T. Drummond Geometry: Picking Yearly Highs and Lows in Interbank Forex Trading // Breakthroughs in Technical Analysis: New Thinking from the World’s Top Minds / ed. by D. Keller. Princeton: Bloomberg Press, 2007. P. 1–19. https://doi.org/10.1002/9781119204749.ch1
7. Dawid A., LeCun Y. Introduction to Latent Variable Energy-Based Models: A Path Towards Autonomous Machine Intelligence // Journal of Statistical Mechanics: Theory and Experiment. 2024. No. 10. Art. 104011. https://doi.org/10.1088/1742-5468/ad292b (arXiv:2306.02572).
8. Assran M. et al. Self-supervised learning from images with a joint-embedding predictive architecture // Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). 2023. P. 15619–15629. https://doi.org/10.1109/CVPR52729.2023.01499
9. Park Y.J. et al. A scalable and transferable time series prediction framework for demand forecasting. 2024. arXiv preprint arXiv:2402.19402. https://doi.org/10.48550/arXiv.2402.19402
10. Ragab M., Liu Q., Jia W., Chen M., Yun U. Self-Supervised Learning for Time Series Analysis: Taxonomy, Progress, and Prospects // IEEE Transactions on Pattern Analysis and Machine Intelligence. 2024. Vol. 46, No. 10. P. 6775–6794. https://doi.org/10.1109/TPAMI.2024.3387317
11. Voloshin T.A., Zaitsev K.S., Dunaev M.E. Application of adaptive ensembles of machine learning methods to the problem of time series forecasting // International Journal of Open Information Technologies. 2023. Vol. 11, No. 8. P. 57–63.
12. Diebold F.X., Mariano R.S. Comparing Predictive Accuracy // Journal of Business & Economic Statistics. 1995. Vol. 13, No. 3. P. 253–263. https://doi.org/10.1080/07350015.1995.10524599

This work is licensed under a Creative Commons Attribution 4.0 International License.
Presenting an article for publication in the Russian Digital Libraries Journal (RDLJ), the authors automatically give consent to grant a limited license to use the materials of the Kazan (Volga) Federal University (KFU) (of course, only if the article is accepted for publication). This means that KFU has the right to publish an article in the next issue of the journal (on the website or in printed form), as well as to reprint this article in the archives of RDLJ CDs or to include in a particular information system or database, produced by KFU.
All copyrighted materials are placed in RDLJ with the consent of the authors. In the event that any of the authors have objected to its publication of materials on this site, the material can be removed, subject to notification to the Editor in writing.
Documents published in RDLJ are protected by copyright and all rights are reserved by the authors. Authors independently monitor compliance with their rights to reproduce or translate their papers published in the journal. If the material is published in RDLJ, reprinted with permission by another publisher or translated into another language, a reference to the original publication.
By submitting an article for publication in RDLJ, authors should take into account that the publication on the Internet, on the one hand, provide unique opportunities for access to their content, but on the other hand, are a new form of information exchange in the global information society where authors and publishers is not always provided with protection against unauthorized copying or other use of materials protected by copyright.
RDLJ is copyrighted. When using materials from the log must indicate the URL: index.phtml page = elbib / rus / journal?. Any change, addition or editing of the author's text are not allowed. Copying individual fragments of articles from the journal is allowed for distribute, remix, adapt, and build upon article, even commercially, as long as they credit that article for the original creation.
Request for the right to reproduce or use any of the materials published in RDLJ should be addressed to the Editor-in-Chief A.M. Elizarov at the following address: amelizarov@gmail.com.
The publishers of RDLJ is not responsible for the view, set out in the published opinion articles.
We suggest the authors of articles downloaded from this page, sign it and send it to the journal publisher's address by e-mail scan copyright agreements on the transfer of non-exclusive rights to use the work.