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math.ST2026
Post-Learning Inference for Combinatorial Optimizers with High-Dimensional Sparse Contextual Information via Minimal Directional Perturbation
Pengyu Li, Shuting Shen
We study post-learning inference for structural properties of data-dependent combinatorial optimizers. The target is whether an oracle optimizer, rather than a latent parameter or…
math.ST2024
Anti-Concentration Inequalities for the Difference of Maxima of Gaussian Random Vectors
Alexandre Belloni, Ethan X. Fang, Shuting Shen
We derive novel anti-concentration bounds for the difference between the maximal values of two Gaussian random vectors across various settings. Our bounds are dimension-free, scali…