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Khemraj Shukla

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Preprint Aug 2026

Fixed and Adaptive Topological DeepONets: Functional Measurements on Hausdorff Locally Convex Spaces

The Topological DeepONet framework is built on, replacing point samples by continuous linear functionals drawn from the continuous dual of a Hausdorff locally convex space, whose topology is generated by a point-separating family of seminorms rather than a single norm, and develops fixed and adaptive functional measure...

Khemraj Shukla, G. Karniadakis · 0 citations

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