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math.CO2025
Several New Generalizations of LYM Inequality
Zihao Huang, Weikang Liang, Yujiao Ma +1
The LYM inequality is a fundamental result concerning the sizes of subsets in a Sperner family. Subsequent studies on the LYM inequality have been generalized to families of -de…
math.CO2025
A decomposition of Grassmannian associated with a hyperplane arrangement
Houshan Fu, Weikang Liang, Suijie Wang
The Grassmannian, which is the manifold of all -dimensional subspaces in the Euclidean space , was decomposed through three equivalent methods connecting combinato…
stat.ML2025
Gradient-based Sample Selection for Faster Bayesian Optimization
Qiyu Wei, Haowei Wang, Zirui Cao +3
Bayesian optimization (BO) is an effective technique for black-box optimization. However, its applicability is typically limited to moderate-budget problems due to the cubic comple…