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Paper · arXiv

Graph Residual Conjugate Diffusion: SNR-Equalized Heat Flow for Graph Signals

Diffusion models generate data by reversing a forward corruption process that typically approaches a simple Gaussian prior. Recent work has extended this framework to signals supported on fixed graphs, e.g., road-network traffic and sensor-network measurements. Many graph signals have nonuniform spectral energy, whereas isotropic corruption adds the same conditional noise variance to every graph-frequency mode. Driving all modes to near-zero terminal signal-to-noise ratio (SNR) requires strong corruption, which increases the noise range that must be covered under a fixed sampling budget. We introduce Graph Residual Conjugate Diffusion (GRCD), which replaces the shared clock of graph heat ...

AuthorsJinwei Li, Daniel Tenbrinck
Primary categorycs.LG
Published30 September 2026
Last updated at source30 September 2026
cs.LG
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