Denoising the Future: Context-Aware Spectral Diffusion for Temporal Knowledge Graph Extrapolation

Yanglei Gan, Peng He, Run Lin, Peiyuan Jiang, Yifan Wang, Qiao Liu


Abstract
Temporal Knowledge Graph (TKG) extrapolation seeks to infer future facts from time-varying relational histories. Recent diffusion-based approaches improve uncertainty modeling through generative denoising, but their aggregated conditioning on subject histories may insufficiently distinguish query-specific evidence from non-salient historical facts, thereby diluting target-discriminative signals. To bridge this gap, we propose **FreqDiff**, a **Freq**uency-aware **Diff**usion framework for TKG extrapolation. Specifically, FreqDiff formulates future object prediction as query-slot denoising and develops a dual-stream denoiser that integrates temporal dependency modeling with context-aware spectral calibration. The spectral branch synthesizes history-conditioned filters from learnable bases to adaptively re-calibrate denoising representations, while a frequency-domain regularizer is proposed to align the denoised target with the gold object in spectral space. Experiments on four public TKG benchmarks demonstrate that FreqDiff achieves state-of-the-art performance.
Anthology ID:
2026.emnlp-main.2060
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
46895–46913
Language:
URL:
https://aclanthology.org/2026.emnlp-main.2060/
DOI:
Bibkey:
Cite (ACL):
Yanglei Gan, Peng He, Run Lin, Peiyuan Jiang, Yifan Wang, and Qiao Liu. 2026. Denoising the Future: Context-Aware Spectral Diffusion for Temporal Knowledge Graph Extrapolation. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 46895–46913, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Denoising the Future: Context-Aware Spectral Diffusion for Temporal Knowledge Graph Extrapolation (Gan et al., EMNLP 2026)
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PDF:
https://aclanthology.org/2026.emnlp-main.2060.pdf