Colored Graph Signal Diffusion Models
Standard diffusion processes with isotropic noise corruption are not spectrally neutral. They inherit a coarse-to-fine generation hierarchy from the nonuniform data spectrum, because each frequency band loses signal-to-noise ratio (SNR) at its own rate. For signals on a graph, the relevant spectrum is that of the graph shift operator (GSO). A natural construction, therefore, builds both the diffusion dynamics and the denoiser from graph filters of the GSO, and any such design also takes a position on this hierarchy. We expose this hierarchy as a tunable axis through a family of colored score-based diffusions. Fixing the terminal prior to a Gaussian colored by the GSO couples the drift and...
| Authors | Yiğit Berkay Uslu, Samar Hadou, Shirin Saeedi Bidokhti et al. |
|---|---|
| Primary category | eess.SP |
| Published | 12 October 2026 |
| Last updated at source | 12 October 2026 |
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