Forking-Sequences

Fuente: arXiv
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Hauptverfasser: Potosnak, Willa, Wolff, Malcolm, Cao, Mengfei, Ma, Ruijun, Konstantinova, Tatiana, Efimov, Dmitry, Mahoney, Michael W., Oreshkin, Boris, Olivares, Kin G.
Format: Preprint
Veröffentlicht: 2025
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author Potosnak, Willa
Wolff, Malcolm
Cao, Mengfei
Ma, Ruijun
Konstantinova, Tatiana
Efimov, Dmitry
Mahoney, Michael W.
Oreshkin, Boris
Olivares, Kin G.
author_facet Potosnak, Willa
Wolff, Malcolm
Cao, Mengfei
Ma, Ruijun
Konstantinova, Tatiana
Efimov, Dmitry
Mahoney, Michael W.
Oreshkin, Boris
Olivares, Kin G.
contents While accuracy is a critical requirement for time series forecasting, an equally important desideratum is forecast stability across forecast creation dates (FCDs). Even highly accurate models can produce erratic revisions between FCDs, disrupting downstream decision-making. To improve forecast stability of such revisions, several state-of-the-art models including MQCNN, MQT, and SPADE employ a powerful yet underexplored neural network architectural design known as forking-sequences. This architectural design jointly encodes and decodes the entire time series across all FCDs, producing an entire multi-horizon forecast grid in a single forward pass. This approach contrasts with conventional neural forecasting methods that process FCDs independently, generating only a single multi-horizon forecast per forward pass. In this work, we formalize the forking-sequences design and motivate its broader adoption by introducing a metric for quantifying excess volatility in forecast revisions and by providing theoretical and empirical analysis. We theoretically motivate three key benefits of forking-sequences: (i) increased forecast stability through ensembling; (ii) gradient variance reduction, leading to more stable and consistent training steps; and (iii) improved computational efficiency during inference. We validate the benefits of forking-sequences compared to baseline window-sampling on the M-series benchmark, using 16 datasets from the M1, M3, M4, and Tourism competitions. We observe median accuracy improvements across datasets of 29.7%, 46.2%, 49.3%, 28.6%, 24.7%, and 6.4% for MLP, RNN, LSTM, CNN, Transformer, and StateSpace-based architectures, respectively. We then show that forecast ensembling during inference can improve median forecast stability by 10.8%, 13.2%, 13.0%, 10.9%, 10.2%, and 11.2% for these respective models trained with forking-sequences, while maintaining accuracy.
format Preprint
id arxiv_https___arxiv_org_abs_2510_04487
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Forking-Sequences
Potosnak, Willa
Wolff, Malcolm
Cao, Mengfei
Ma, Ruijun
Konstantinova, Tatiana
Efimov, Dmitry
Mahoney, Michael W.
Oreshkin, Boris
Olivares, Kin G.
Machine Learning
While accuracy is a critical requirement for time series forecasting, an equally important desideratum is forecast stability across forecast creation dates (FCDs). Even highly accurate models can produce erratic revisions between FCDs, disrupting downstream decision-making. To improve forecast stability of such revisions, several state-of-the-art models including MQCNN, MQT, and SPADE employ a powerful yet underexplored neural network architectural design known as forking-sequences. This architectural design jointly encodes and decodes the entire time series across all FCDs, producing an entire multi-horizon forecast grid in a single forward pass. This approach contrasts with conventional neural forecasting methods that process FCDs independently, generating only a single multi-horizon forecast per forward pass. In this work, we formalize the forking-sequences design and motivate its broader adoption by introducing a metric for quantifying excess volatility in forecast revisions and by providing theoretical and empirical analysis. We theoretically motivate three key benefits of forking-sequences: (i) increased forecast stability through ensembling; (ii) gradient variance reduction, leading to more stable and consistent training steps; and (iii) improved computational efficiency during inference. We validate the benefits of forking-sequences compared to baseline window-sampling on the M-series benchmark, using 16 datasets from the M1, M3, M4, and Tourism competitions. We observe median accuracy improvements across datasets of 29.7%, 46.2%, 49.3%, 28.6%, 24.7%, and 6.4% for MLP, RNN, LSTM, CNN, Transformer, and StateSpace-based architectures, respectively. We then show that forecast ensembling during inference can improve median forecast stability by 10.8%, 13.2%, 13.0%, 10.9%, 10.2%, and 11.2% for these respective models trained with forking-sequences, while maintaining accuracy.
title Forking-Sequences
topic Machine Learning
url https://arxiv.org/abs/2510.04487