A Multi-Horizon Quantile Recurrent Forecaster
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Abstract (arXiv)
We propose a framework for general probabilistic multi-step time series regression. Specifically, we exploit the expressiveness and temporal nature of Sequence-to-Sequence Neural Networks (e.g. recurrent and convolutional structures), the nonparametric nature of Quantile Regression and the efficiency of Direct Multi-Horizon Forecasting. A new training scheme, *forking-sequences*, is designed for sequential nets to boost stability and performance. We show that the approach accommodates both temporal and static covariates, learning across multiple related series, shifting seasonality, future planned event spikes and cold-starts in real life large-scale forecasting. The performance of the framework is demonstrated in an application to predict the future demand of items sold on Amazon.com, and in a public probabilistic forecasting competition to predict electricity price and load.
Key facts. Cited by 211 papers in the map (data through 7 Oct 2026). First posted on arXiv 29 Nov 2017.
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Citing papers per year: 2021: 33; 2022: 38; 2023: 51; 2024: 34; 2025: 38; 2026: 17.
211 papers.
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- 2021Autoformer: Decomposition Transformers with Auto-Correlation for Long-Term Series Forecastingcited by 1,654
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- 2023Lag-Llama: Towards Foundation Models for Probabilistic Time Series Forecastingcited by 102
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- 2021Quantifying Uncertainty in Deep Spatiotemporal Forecastingcited by 48
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- 2021Learning Quantile Functions without Quantile Crossing for Distribution-free Time Series Forecastingcited by 32
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- 2021Learning Interpretable Deep State Space Model for Probabilistic Time Series Forecastingcited by 29
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50 most cited of 211 All 211 (JSON)
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- 2025Improving Time Series Forecasting via Instance-aware Post-hoc Revision29 May 2025
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- 2025CANet: ChronoAdaptive Network for Enhanced Long-Term Time Series Forecasting under Non-Stationarity24 Apr 2025
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- 2025Deep Learning for Time Series Forecasting: A Survey13 Mar 2025
50 newest of 211 All 211 (JSON)
- 2021Autoformer: Decomposition Transformers with Auto-Correlation for Long-Term Series Forecastingcited by 1,654
- 2024Chronos: Learning the Language of Time Seriescited by 712
- 2023A decoder-only foundation model for time-series forecastingcited by 650
- 2021TS2Vec: Towards Universal Representation of Time Seriescited by 463
- 2022Non-stationary Transformers: Exploring the Stationarity in Time Series Forecastingcited by 385
- 2021Monash Time Series Forecasting Archivecited by 256
- 2023TSMixer: An All-MLP Architecture for Time Series Forecastingcited by 232
- 2025Sundial: A Family of Highly Capable Time Series Foundation Modelscited by 168
- 2022N-HiTS: Neural Hierarchical Interpolation for Time Series Forecastingcited by 146
- 2022CoST: Contrastive Learning of Disentangled Seasonal-Trend Representations for Time Series Forecastingcited by 143
- 2023Lag-Llama: Towards Foundation Models for Probabilistic Time Series Forecastingcited by 102
- 2023ForecastPFN: Synthetically-Trained Zero-Shot Forecastingcited by 102
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- 2026t0: A Time-Series Foundation Model for Forecasting with Context21 Sep 2026
- 2026CENTILE: A Telemetry Foundation Model Evaluated by the Decisions It Drives3 Aug 2026
- 2026Learning Optimization Proxies for Sequential Contextual Stochastic Programs: An Order Fulfillment Application24 Jun 2026
- 2026Distribution-Aware Diffusion-LLM for Robust Ultra-Long-Term Time Series Forecasting22 Jun 2026
- 2026Dirichlet-Guided Group Forecasting for Alleviating Over-smoothing in Time Series Forecasting9 Jun 2026
- 2026Stabilizing distribution-free probabilistic forecasts27 May 2026
- 2026Parametric Prior Mapping Framework for Non-stationary Probabilistic Time Series Forecasting22 May 2026
- 2026FISformer: Replacing Self-Attention with a Fuzzy Inference System in Transformer Models for Time Series Forecasting23 Mar 2026
- 2026Operator Learning for Smoothing and Forecasting20 Mar 2026
- 2026Hyperparameter Trajectory Inference with Conditional Lagrangian Optimal Transport2 Mar 2026
- 2026Bounded-Abstention Multi-horizon Time-series Forecasting4 Feb 2026
- 2026Learnable Koopman-Enhanced Transformer-Based Time Series Forecasting with Spectral Control1 Feb 2026
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