HodgeCover isolates the harmonic kernel of a simplicial Laplacian on an expert 2-complex to identify irreducible merge cycles and selects experts for aggressive compression, matching or exceeding baselines on open-weight MoE models.
Hodge laplacians on graphs.Siam Review, 62(3):685–715, 2020
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A dimension-wise preferential attachment model for simplicial complexes yields power-law generalized degree distributions for simplices of varying dimension.
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HodgeCover: Higher-Order Topological Coverage Drives Compression of Sparse Mixture-of-Experts
HodgeCover isolates the harmonic kernel of a simplicial Laplacian on an expert 2-complex to identify irreducible merge cycles and selects experts for aggressive compression, matching or exceeding baselines on open-weight MoE models.
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Model of Simplicial Complexes with dimension-wise preferential attachment
A dimension-wise preferential attachment model for simplicial complexes yields power-law generalized degree distributions for simplices of varying dimension.