Existence-Field Diffusion Model for Spatial Point Processes with Variable Cardinality
We study generative modeling of spatial point processes (SPP), where both the number of points and their spatial configuration are governed by a joint distribution. While diffusion models have achieved strong performance in modeling complex distributions, extending them to variable-cardinality SPP remains challenging. Existing approaches either sample cardinality before generating locations conditionally, or introduce specialized discrete operations to change the number of points during generation. We propose the existence-field diffusion model (EFDM), which associates each potential point with a continuous variable representing its degree of presence. EFDM uses Gaussian diffusion to join...
| Authors | Xiaoyin Pan, Christian R. Shelton, Rakshith Mahishi et al. |
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| Primary category | cs.LG |
| Published | 29 July 2026 |
| Last updated at source | 26 September 2026 |
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