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Paper · arXiv

Stabilizing Filters for Graph Signal Generation

Generating graph signals is an important task in machine learning, and incorporating the underlying graph into a generative model enables structurally-informed distribution modeling. However, said graph is often noisy or imperfectly estimated, and structural errors can affect the generative process and the resulting signal distribution. While recent work has established stability guarantees for graph neural ordinary differential equations, the robustness of graph-aware reference dynamics, as used in topological Schrödinger bridge models, remains largely unexplored. Here, we investigate the structural stability of continuous-time generative models whose dynamics combine a graph filter with...

AuthorsMartin Schmidt, Gonzalo Mateos
Primary categoryeess.SP
Published20 October 2026
Last updated at source20 October 2026
eess.SPcs.LGstat.ML
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