AI RESEARCH
TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes
arXiv CS.AI
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ArXi:2605.21724v1 Announce Type: cross Hyper-Connections (HC) improve residual networks by We propose Transportation Birkhoff Polytope (TBP) parameterizations and their Recursive variants (RTBP), which construct exactly doubly stochastic mixing matrices with $(n-1)^2$ degrees of freedom. Our approach avoids iterative normalization and combinatorial explosion while preserving full expressivity of the Birkhoff polytope. Empirical results on language model pre-