Cross-Domain Conditional Diffusion Models for Time Series Imputation

Fuente: arXiv
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Main Authors: Zhang, Kexin, Jing, Baoyu, Candan, K. Selçuk, Zhou, Dawei, Wen, Qingsong, Liu, Han, Ding, Kaize
Format: Preprint
Published: 2025
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author Zhang, Kexin
Jing, Baoyu
Candan, K. Selçuk
Zhou, Dawei
Wen, Qingsong
Liu, Han
Ding, Kaize
author_facet Zhang, Kexin
Jing, Baoyu
Candan, K. Selçuk
Zhou, Dawei
Wen, Qingsong
Liu, Han
Ding, Kaize
contents Cross-domain time series imputation is an underexplored data-centric research task that presents significant challenges, particularly when the target domain suffers from high missing rates and domain shifts in temporal dynamics. Existing time series imputation approaches primarily focus on the single-domain setting, which cannot effectively adapt to a new domain with domain shifts. Meanwhile, conventional domain adaptation techniques struggle with data incompleteness, as they typically assume the data from both source and target domains are fully observed to enable adaptation. For the problem of cross-domain time series imputation, missing values introduce high uncertainty that hinders distribution alignment, making existing adaptation strategies ineffective. Specifically, our proposed solution tackles this problem from three perspectives: (i) Data: We introduce a frequency-based time series interpolation strategy that integrates shared spectral components from both domains while retaining domain-specific temporal structures, constructing informative priors for imputation. (ii) Model: We design a diffusion-based imputation model that effectively learns domain-shared representations and captures domain-specific temporal dependencies with dedicated denoising networks. (iii) Algorithm: We further propose a cross-domain consistency alignment strategy that selectively regularizes output-level domain discrepancies, enabling effective knowledge transfer while preserving domain-specific characteristics. Extensive experiments on three real-world datasets demonstrate the superiority of our proposed approach. Our code implementation is available here.
format Preprint
id arxiv_https___arxiv_org_abs_2506_12412
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Cross-Domain Conditional Diffusion Models for Time Series Imputation
Zhang, Kexin
Jing, Baoyu
Candan, K. Selçuk
Zhou, Dawei
Wen, Qingsong
Liu, Han
Ding, Kaize
Machine Learning
Cross-domain time series imputation is an underexplored data-centric research task that presents significant challenges, particularly when the target domain suffers from high missing rates and domain shifts in temporal dynamics. Existing time series imputation approaches primarily focus on the single-domain setting, which cannot effectively adapt to a new domain with domain shifts. Meanwhile, conventional domain adaptation techniques struggle with data incompleteness, as they typically assume the data from both source and target domains are fully observed to enable adaptation. For the problem of cross-domain time series imputation, missing values introduce high uncertainty that hinders distribution alignment, making existing adaptation strategies ineffective. Specifically, our proposed solution tackles this problem from three perspectives: (i) Data: We introduce a frequency-based time series interpolation strategy that integrates shared spectral components from both domains while retaining domain-specific temporal structures, constructing informative priors for imputation. (ii) Model: We design a diffusion-based imputation model that effectively learns domain-shared representations and captures domain-specific temporal dependencies with dedicated denoising networks. (iii) Algorithm: We further propose a cross-domain consistency alignment strategy that selectively regularizes output-level domain discrepancies, enabling effective knowledge transfer while preserving domain-specific characteristics. Extensive experiments on three real-world datasets demonstrate the superiority of our proposed approach. Our code implementation is available here.
title Cross-Domain Conditional Diffusion Models for Time Series Imputation
topic Machine Learning
url https://arxiv.org/abs/2506.12412