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Wei-Biao Wu

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#machine learning Preprint Oct 2026

Finite-Sample Distribution Theory and Efficient Large-Scale Inference for Online Quantile Regression

This paper studies online quantile regression for large-scale and streaming data using Stochastic SubGradient Descent (SSGD) with constant learning rates. Classical offline inference for quantile regression is computationally and memory intensive. Existing works of online inference for quantile regression provide only...

Zi-Yang Wei, Jia-Qi Li, Lan Wang et al. · 0 citations
#machine learning Preprint Oct 2026

Moment-Accurate Gaussian Mixtures for Constant-Step Stochastic Approximation

Local Gaussian models of constant-step learning predict output variability and expected losses, but weak convergence alone does not justify these moment predictions. We establish moment-accurate Gaussian mixtures by matching stationary energy with local Ornstein--Uhlenbeck limits, ruling out quadratic tail mass invisib...

Xiao-Lin Li, Wei-Biao Wu · 0 citations
#machine learning Preprint Sep 2026

Geometric Moment Contraction for Stochastic Nesterov Acceleration

We study geometric moment contraction (GMC) of the constant-parameter stochastic Nesterov recursion \[ Y_k=\Theta_k+\beta(\Theta_k-\Theta_{k-1}),\qquad \Theta_{k+1}=Y_k-\gamma G(Y_k,X_{k+1}). \] Under mean strong monotonicity and stochastic $L^p$ Lipschitz continuity, an explicit Perron comparison proves synchronous $L...

Wei-Biao Wu · 0 citations

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