MLAILGJul 19, 2025

Diffusion Models for Time Series Forecasting: A Survey

arXiv:2507.14507v28 citationsh-index: 12
Originality Synthesis-oriented
AI Analysis

It addresses the need for organized knowledge in the field for researchers, but it is incremental as it synthesizes existing work without introducing new methods.

This survey tackles the lack of a systematic taxonomy for diffusion models in time series forecasting by providing a comprehensive review, categorization, and analysis of existing approaches, including their adaptations, conditional information sources, and integration mechanisms.

Diffusion models, initially developed for image synthesis, demonstrate remarkable generative capabilities. Recently, their application has expanded to time series forecasting (TSF), yielding promising results. Existing surveys on time series primarily focus on the application of diffusion models to time series tasks or merely provide model-by-model introductions of diffusion-based TSF models, without establishing a systematic taxonomy for existing diffusion-based TSF models. In this survey, we firstly introduce several standard diffusion models and their prevalent variants, explaining their adaptation to TSF tasks. Then, we provide a comprehensive review of diffusion models for TSF, paying special attention to the sources of conditional information and the mechanisms for integrating this conditioning within the models. In analyzing existing approaches using diffusion models for TSF, we provide a systematic categorization and a comprehensive summary of them in this survey. Furthermore, we examine several foundational diffusion models applied to TSF, alongside commonly used datasets and evaluation metrics. Finally, we discuss the progress and limitations of these approaches, as well as potential future research directions for diffusion-based TSF. Overall, this survey offers a comprehensive overview of recent progress and future prospects for diffusion models in TSF, serving as a valuable reference for researchers in the field.

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

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