mlsanityData to 7 Oct 2026

CoSTI: Consistency Models for (a faster) Spatio-Temporal Imputation

arXiv 2501.19364 ↗First posted 31 Jan 2025cs.LG cs.AIcited by 0

On the map: Diffusion models → Flow matching, time series and science

Abstract (arXiv)

Multivariate Time Series Imputation (MTSI) is crucial for many applications, such as healthcare monitoring and traffic management, where incomplete data can compromise decision-making. Existing state-of-the-art methods, like Denoising Diffusion Probabilistic Models (DDPMs), achieve high imputation accuracy; however, they suffer from significant computational costs and are notably time-consuming due to their iterative nature. In this work, we propose CoSTI, an innovative adaptation of Consistency Models (CMs) for the MTSI domain. CoSTI employs Consistency Training to achieve comparable imputation quality to DDPMs while drastically reducing inference times, making it more suitable for real-time applications. We evaluate CoSTI across multiple datasets and missing data scenarios, demonstrating up to a 98% reduction in imputation time with performance on par with diffusion-based models. This work bridges the gap between efficiency and accuracy in generative imputation tasks, providing a scalable solution for handling missing data in critical spatio-temporal systems.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 7 of its 54 references that are in the map. First posted on arXiv 31 Jan 2025.

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7 of 54 references.

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Same direction, newest first

  1. 2024TIMBA: Time series Imputation with Bi-directional Mamba Blocks and Diffusion models8 Oct

Other references · 6

  1. 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,616
  2. 2023Latent Consistency Models: Synthesizing High-Resolution Images with Few-Step Inferencecited by 826
  3. 2019Graph WaveNet for Deep Spatial-Temporal Graph Modelingcited by 820
  4. 2019On the Variance of the Adaptive Learning Rate and Beyondcited by 763
  5. 2024Simplifying, Stabilizing and Scaling Continuous-Time Consistency Modelscited by 276
  6. 2024Consistency Models Made Easycited by 140

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  1. 2024MTSCI: A Conditional Diffusion Model for Multivariate Time Series Consistent Imputation
  2. 2024A Temporally Disentangled Contrastive Diffusion Model for Spatiotemporal Imputation
  3. 2024RDPI: A Refine Diffusion Probability Generation Method for Spatiotemporal Data Imputation
  4. 2025AdaSTI: Conditional Diffusion Models with Adaptive Dependency Modeling for Spatio-Temporal Imputation
  5. 2026RDDMPI: Residual Denoising Diffusion Model for Probabilistic Multivariate Time Series Imputation
  6. 2025Filling the Missings: Spatiotemporal Data Imputation by Conditional Diffusion
  7. 2025Diffusion Transformers for Imputation: Statistical Efficiency and Uncertainty Quantification
  8. 2022Diffusion-based Time Series Imputation and Forecasting with Structured State Space Models