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Operator Learning

otheractiveprovisionaloperator-learning-88ec59ac·1 events·first seen 16d ago

Aliases: Operator Learning

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5arXiv · cs.LG·16d ago·source ↗

Functional Attention: Reinterpreting Attention as Functional Correspondences for Operator Learning

This paper introduces Functional Attention, a novel attention mechanism for operator learning that replaces standard softmax token-wise affinities with structured linear operators inspired by geometric functional maps. The approach treats attention as a correspondence between adaptive bases rather than discrete tokens, yielding a resolution-invariant, globally-aware representation. Experiments show competitive or state-of-the-art performance on PDE solving, 3D segmentation, and regression tasks, with robustness to varying discretizations.