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Main Authors: Wolff, Malcolm, Li, Matthew, Selvam, Ravi Kiran, Zhu, Hanjing, Olivares, Kin G., Ma, Ruijun, Katoch, Abhinav, Ramasubramanian, Shankar, Cao, Mengfei, Bandarra, Roberto, Gopalsamy, Rahul, La Vattiata, Stefania, Yang, Sitan, Mahoney, Michael W.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2507.21155
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author Wolff, Malcolm
Li, Matthew
Selvam, Ravi Kiran
Zhu, Hanjing
Olivares, Kin G.
Ma, Ruijun
Katoch, Abhinav
Ramasubramanian, Shankar
Cao, Mengfei
Bandarra, Roberto
Gopalsamy, Rahul
La Vattiata, Stefania
Yang, Sitan
Mahoney, Michael W.
author_facet Wolff, Malcolm
Li, Matthew
Selvam, Ravi Kiran
Zhu, Hanjing
Olivares, Kin G.
Ma, Ruijun
Katoch, Abhinav
Ramasubramanian, Shankar
Cao, Mengfei
Bandarra, Roberto
Gopalsamy, Rahul
La Vattiata, Stefania
Yang, Sitan
Mahoney, Michael W.
contents Despite significant advancements in time series forecasting, accurate modeling of time series with strong heterogeneity in magnitude and/or sparsity patterns remains challenging for state-of-the-art deep learning architectures. We identify several factors that lead existing models to systematically underperform on low-magnitude and sparse time series, including loss functions with implicit biases toward high-magnitude series, training-time sampling methods, and limitations of time series encoding methods. SPADE-S is a robust forecasting architecture that significantly reduces magnitude- and sparsity-based systematic biases and improves overall prediction accuracy. Empirical results demonstrate that SPADE-S outperforms existing state-of-the-art approaches across a diverse set of use cases in demand forecasting. In particular, we show that, depending on the quantile forecast and magnitude of the series, SPADE-S can improve forecast accuracy by up to 15%. This results in P90 overall forecast accuracy gains of 2.21%, 6.58%, and 4.28%, and P50 forecast accuracy gains of 0.92%, 0.77%, and 1.95%, respectively, for each of three distinct datasets, ranging from 3 million to 700 million series, from a large online retailer.
format Preprint
id arxiv_https___arxiv_org_abs_2507_21155
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle SPADE-S: A Sparsity-Robust Foundational Forecaster
Wolff, Malcolm
Li, Matthew
Selvam, Ravi Kiran
Zhu, Hanjing
Olivares, Kin G.
Ma, Ruijun
Katoch, Abhinav
Ramasubramanian, Shankar
Cao, Mengfei
Bandarra, Roberto
Gopalsamy, Rahul
La Vattiata, Stefania
Yang, Sitan
Mahoney, Michael W.
Machine Learning
Despite significant advancements in time series forecasting, accurate modeling of time series with strong heterogeneity in magnitude and/or sparsity patterns remains challenging for state-of-the-art deep learning architectures. We identify several factors that lead existing models to systematically underperform on low-magnitude and sparse time series, including loss functions with implicit biases toward high-magnitude series, training-time sampling methods, and limitations of time series encoding methods. SPADE-S is a robust forecasting architecture that significantly reduces magnitude- and sparsity-based systematic biases and improves overall prediction accuracy. Empirical results demonstrate that SPADE-S outperforms existing state-of-the-art approaches across a diverse set of use cases in demand forecasting. In particular, we show that, depending on the quantile forecast and magnitude of the series, SPADE-S can improve forecast accuracy by up to 15%. This results in P90 overall forecast accuracy gains of 2.21%, 6.58%, and 4.28%, and P50 forecast accuracy gains of 0.92%, 0.77%, and 1.95%, respectively, for each of three distinct datasets, ranging from 3 million to 700 million series, from a large online retailer.
title SPADE-S: A Sparsity-Robust Foundational Forecaster
topic Machine Learning
url https://arxiv.org/abs/2507.21155