PatternFormer learns a parameter-to-solution-set operator by autoregressively generating latent solution fields, recovering multiple coexisting steady states of nonlinear PDEs in a single forward pass.
Solution landscape of reaction-diffusion systems reveals a nonlinear mechanism and spatial robustness of pattern formation.Fundamental Research, 2025
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PatternFormer: Learning Multiple Solution Patterns in Reaction--Diffusion Systems
PatternFormer learns a parameter-to-solution-set operator by autoregressively generating latent solution fields, recovering multiple coexisting steady states of nonlinear PDEs in a single forward pass.