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2026 1

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A Mathematical Theory of Ranking

cs.IR · 2026-04-09 · unverdicted · novelty 5.0

A pairwise-margin theory of ranking proves unique factor decompositions in the linear case, an interaction-curvature condition for nonlinear cases, and geometric structures including a competition-graph Laplacian and finite energy identities.

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  • A Mathematical Theory of Ranking cs.IR · 2026-04-09 · unverdicted · none · ref 3

    A pairwise-margin theory of ranking proves unique factor decompositions in the linear case, an interaction-curvature condition for nonlinear cases, and geometric structures including a competition-graph Laplacian and finite energy identities.