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Localized differential and integral kernels for neural operators

Adds resolution-scaled differential stencil layers and compact-support integral kernels using discrete–continuous convolution bases to neural operators, capturing local detail alongside global spectral layers.

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Adds resolution-scaled differential stencil layers and compact-support integral kernels using discrete–continuous convolution bases to neural operators, capturing local detail alongside global spectral layers.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

First three authors explicitly share contribution. Differential limits require smooth inputs, regular-grid scaling and kernel constraints; integral layers need suitable quadrature and discretization. Inherits stencils, group convolutions and DISCO; benchmark gains are not certified arbitrary-grid/PDE accuracy or exact finite-discretization equivariance.

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People and systems

Miguel Liu-Schiaffini; Julius Berner; Boris Bonev; Thorsten Kurth; Kamyar Azizzadenesheli; Anima Anandkumar

Source-listed authors or explicitly credited technical contributors for the cited versions. Family entries retain source-specific attribution; a combined list is not one original-paper byline or equal individual work. Names alone do not establish resolved identities.

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English catalogue narrative

Localized differential and integral kernels for neural operators

Adds resolution-scaled differential stencil layers and compact-support integral kernels using discrete–continuous convolution bases to neural operators, capturing local detail alongside global spectral layers.

Scientific scope

First three authors explicitly share contribution. Differential limits require smooth inputs, regular-grid scaling and kernel constraints; integral layers need suitable quadrature and discretization. Inherits stencils, group convolutions and DISCO; benchmark gains are not certified arbitrary-grid/PDE accuracy or exact finite-discretization equivariance.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Miguel Liu-Schiaffini; Julius Berner; Boris Bonev; Thorsten Kurth; Kamyar Azizzadenesheli; Anima Anandkumar

Source-listed authors or explicitly credited technical contributors for the cited versions. Family entries retain source-specific attribution; a combined list is not one original-paper byline or equal individual work. Names alone do not establish resolved identities.

Original sources