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LieConv continuous-data group convolutions

Lifts continuous coordinates into a Lie group and parameterizes convolution kernels through its Lie algebra, enabling local learned convolutions on irregularly sampled data.

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Lifts continuous coordinates into a Lie group and parameterizes convolution kernels through its Lie algebra, enabling local learned convolutions on irregularly sampled data.

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

Scientific scope

Original construction restricts to groups with surjective exponential maps and appropriate lifting/sampling. Monte Carlo convolution is equivariant in distribution, not every finite random realization exactly equivariant. No unrestricted all-Lie-group or integrator-level energy conservation claim; inherits group convolution and efficient PointConv.

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People and systems

Marc Finzi; Samuel Stanton; Pavel Izmailov; Andrew Gordon Wilson

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

LieConv continuous-data group convolutions

Lifts continuous coordinates into a Lie group and parameterizes convolution kernels through its Lie algebra, enabling local learned convolutions on irregularly sampled data.

Scientific scope

Original construction restricts to groups with surjective exponential maps and appropriate lifting/sampling. Monte Carlo convolution is equivariant in distribution, not every finite random realization exactly equivariant. No unrestricted all-Lie-group or integrator-level energy conservation claim; inherits group convolution and efficient PointConv.

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

Marc Finzi; Samuel Stanton; Pavel Izmailov; Andrew Gordon Wilson

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