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This paper diagnoses the loss landscape of gradient-based inversion for the Gray-Scott reaction-diffusion system, showing that direct backpropagation fails due to flat plateaus and sharp cliffs, while PINN components like residual loss smooth the landscape. The findings provide design implications for PINN-type methods.
PRISM is a decoder-only autoregressive transformer that solves the inverse problem of multilayer thin-film optical coating design by jointly predicting material selection and thickness, achieving state-of-the-art performance with significantly smaller models.
BlockFormer introduces a transformer architecture for solving inverse problems from block-structured interaction maps, such as centromere identification from Hi-C data, using a custom simulator for synthetic training data.