CoIFNet: A Unified Framework for Multivariate Time Series Forecasting with Missing Values

Fuente: arXiv
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Autori principali: Tang, Kai, Zhang, Ji, Meng, Hua, Ma, Minbo, Xiong, Qi, Lv, Fengmao, Xu, Jie, Li, Tianrui
Natura: Preprint
Pubblicazione: 2025
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author Tang, Kai
Zhang, Ji
Meng, Hua
Ma, Minbo
Xiong, Qi
Lv, Fengmao
Xu, Jie
Li, Tianrui
author_facet Tang, Kai
Zhang, Ji
Meng, Hua
Ma, Minbo
Xiong, Qi
Lv, Fengmao
Xu, Jie
Li, Tianrui
contents Multivariate time series forecasting (MTSF) is a critical task with broad applications in domains such as meteorology, transportation, and economics. Nevertheless, pervasive missing values caused by sensor failures or human errors significantly degrade forecasting accuracy. Prior efforts usually employ an impute-then-forecast paradigm, leading to suboptimal predictions due to error accumulation and misaligned objectives between the two stages. To address this challenge, we propose the Collaborative Imputation-Forecasting Network (CoIFNet), a novel framework that unifies imputation and forecasting to achieve robust MTSF in the presence of missing values. Specifically, CoIFNet takes the observed values, mask matrix and timestamp embeddings as input, processing them sequentially through the Cross-Timestep Fusion (CTF) and Cross-Variate Fusion (CVF) modules to capture temporal dependencies that are robust to missing values. We provide theoretical justifications on how our CoIFNet learning objective improves the performance bound of MTSF with missing values. Through extensive experiments on challenging MSTF benchmarks, we demonstrate the effectiveness and computational efficiency of our proposed approach across diverse missing-data scenarios, e.g., CoIFNet outperforms the state-of-the-art method by $\underline{\textbf{24.40}}$% ($\underline{\textbf{23.81}}$%) at a point (block) missing rate of 0.6, while improving memory and time efficiency by $\underline{\boldsymbol{4.3\times}}$ and $\underline{\boldsymbol{2.1\times}}$, respectively. Our code is available at: https://github.com/KaiTang-eng/CoIFNet.
format Preprint
id arxiv_https___arxiv_org_abs_2506_13064
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle CoIFNet: A Unified Framework for Multivariate Time Series Forecasting with Missing Values
Tang, Kai
Zhang, Ji
Meng, Hua
Ma, Minbo
Xiong, Qi
Lv, Fengmao
Xu, Jie
Li, Tianrui
Machine Learning
Multivariate time series forecasting (MTSF) is a critical task with broad applications in domains such as meteorology, transportation, and economics. Nevertheless, pervasive missing values caused by sensor failures or human errors significantly degrade forecasting accuracy. Prior efforts usually employ an impute-then-forecast paradigm, leading to suboptimal predictions due to error accumulation and misaligned objectives between the two stages. To address this challenge, we propose the Collaborative Imputation-Forecasting Network (CoIFNet), a novel framework that unifies imputation and forecasting to achieve robust MTSF in the presence of missing values. Specifically, CoIFNet takes the observed values, mask matrix and timestamp embeddings as input, processing them sequentially through the Cross-Timestep Fusion (CTF) and Cross-Variate Fusion (CVF) modules to capture temporal dependencies that are robust to missing values. We provide theoretical justifications on how our CoIFNet learning objective improves the performance bound of MTSF with missing values. Through extensive experiments on challenging MSTF benchmarks, we demonstrate the effectiveness and computational efficiency of our proposed approach across diverse missing-data scenarios, e.g., CoIFNet outperforms the state-of-the-art method by $\underline{\textbf{24.40}}$% ($\underline{\textbf{23.81}}$%) at a point (block) missing rate of 0.6, while improving memory and time efficiency by $\underline{\boldsymbol{4.3\times}}$ and $\underline{\boldsymbol{2.1\times}}$, respectively. Our code is available at: https://github.com/KaiTang-eng/CoIFNet.
title CoIFNet: A Unified Framework for Multivariate Time Series Forecasting with Missing Values
topic Machine Learning
url https://arxiv.org/abs/2506.13064