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Orbit recovery for spherical functions

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Euclidean distance geometry and the orthogonal beltway problem

math.MG · 2026-04-28 · unverdicted · novelty 7.0

If m > n, the O(n)-orbit of a generic m-point binary signal with at least some equal magnitudes is uniquely recoverable from autocorrelation, with an O(m^8) algorithm in R^3 when one magnitude is distinct.

bispectrum: Selective $G$-Bispectra Made Practical

cs.LG · 2026-05-08 · conditional · novelty 6.0

bispectrum library delivers selective G-bispectra for seven groups with reduced costs (O(|G|) for finite groups, O(L^2) for spheres), sub-millisecond GPU times, and superior benchmark performance versus standard pooling in low-data regimes.

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