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math.PR2026
Gaussian Approximation in Wasserstein-p: Markovian Martingale Differences and Stochastic Approximation
Yixuan Zhang, Qiaomin Xie
We establish nonasymptotic Gaussian approximation bounds in higher-order Wasserstein distance , , for deterministic matrix-weighted sums of multivariate Poisson martin…
math.PR2026
Wasserstein-p Central Limit Theorem Rates: From Local Dependence to Markov Chains
Yixuan Zhang, Qiaomin Xie
Non-asymptotic central limit theorem (CLT) rates play a central role in modern machine learning and operations research. In this paper, we study CLT rates for multivariate dependen…