This paper introduces a novel smoothed stochastic gradient descent (SGD) algorithm for online quantile estimation. The method ensures estimates remain monotone with respect to the quantile level throughout the streaming data process. The research provides theoretical guarantees on tail probability bounds and offers an online multiplier bootstrap for valid simultaneous inference across coordinates and quantile levels. AI
IMPACT Introduces a novel statistical method for online quantile estimation, potentially improving real-time data analysis in machine learning applications.
RANK_REASON Academic paper detailing a new statistical method. [lever_c_demoted from research: ic=1 ai=1.0]
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