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QuantFlow: A Federated Mamba-Based Post-Transformer Foundation Model for Time-Series Forecasting

QuantFlow is a probabilistic forecasting framework that combines inverted sequence embedding, bidirectional Mamba state-space decoders, quantile regression, and federated learning. Experiments demonstrate strong performance across multiple datasets and effective accuracy retention in non-IID federated settings, while also revealing limitations on irregular epidemiological signals and long-horizon generalization.

SourcearXiv Machine LearningAuthor: Shah Nawaz Haider, Steve Austin, Arnab Barua, Sarowar Morshed Shawon, Hadaate Ullah

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[Submitted on 2 Jul 2026]

Title:QuantFlow: A Federated Mamba-Based Post-Transformer Foundation Model for Time-Series Forecasting

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Abstract:Time-series forecasting supports decisions in finance, en-ergy, transportation, public health, and industrial monitoring. Recent foundation models improve transfer across forecast-ing tasks, but many depend on centralized data and Trans-former attention, which restricts their use for long, high-di-mensional, and privacy-sensitive signals. This paper presents QuantFlow, a probabilistic forecasting framework that com-bines inverted sequence embedding, bidirectional Mamba state-space decoders, quantile regression, and federated learning. Each variable is embedded over the complete ob-servation window, processed in forward and reverse direc-tions, and projected to five conditional quantiles. TSMixup expands temporal diversity through Dirichlet-weighted inter-polation while preserving sequence structure. Experiments cover cryptocurrency, traffic, electricity, Electricity Trans-former Temperature, influenza, and weather data. QuantFlow obtains mean squared errors of 0.2834 on ETTm1 and 0.2218 on Weather, and a 20-client non-IID deployment retains use-ful accuracy after three communication rounds without cen-tralizing raw records. The results indicate that selective state-space modelling is a promising basis for scalable, uncer-tainty-aware, and privacy-conscious time-series prediction, while also revealing limitations on irregular epidemiological signals and long-horizon generalization.

Comments: 7 pages, 4 figures

Subjects:

Machine Learning (cs.LG); Artificial Intelligence (cs.AI)

ACM classes: I.2.6

Cite as: arXiv:2607.02632 [cs.LG]

(or arXiv:2607.02632v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2607.02632

arXiv-issued DOI via DataCite

Submission history

From: Shah Nawaz Haider [view email] [v1] Thu, 2 Jul 2026 14:16:48 UTC (454 KB)

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