Any-dimensional invariant universality

ORID wRVTDcEMv8 · tags icml2026-repro paper-wRVTDcEMv8

#StatusPageArtifactClaim excerpt
1VERIFIED 2/201-original-deepsets-aggregation-equation-discontinartifactTheorem 4.2 proves the original DeepSets aggregation (Equation 4) is discontinuo…
2VERIFIED 2/202-standard-message-passing-gnns-fail-any-dimensionartifactTheorem 4.9 proves standard message-passing GNNs fail any-dimensional universali…
3VERIFIED 2/203-modified-deepsets-infinity-architecture-equationartifactA modified DeepSets-infinity architecture (Equation 5) that reweights terms by a…
4VERIFIED 2/204-measure-space-variant-deepsets-bar-infinity-equaartifactA measure-space variant DeepSets-bar-infinity (Equation 6), replacing the sum wi…
5VERIFIED 2/205-homomorphism-density-basis-architecture-equationartifactA homomorphism-density-basis architecture (Equations 9-10) is proven continuous …
6VERIFIED 2/206-two-stage-architecture-combining-gram-matrix-mapartifactA two-stage architecture combining a Gram-matrix map (Equation 12) with Invarian…

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