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Modern longitudinal data, for example from wearable devices, measures biological signals on a fixed set of participants at a diverging number of time points. Traditional statistical methods are not equipped to handle the computational…

Methodology · Statistics 2023-03-23 Lan Luo , Jingshen Wang , Emily C. Hector

When large amounts of data continuously arrive in streams, online updating is an effective way to reduce storage and computational burden. The key idea of online updating is that the previous estimators are sequentially updated only using…

Methodology · Statistics 2022-10-12 Tianzhen Wang , Haixiang Zhang , Liuquan Sun

Streaming data often exhibit heterogeneity due to heteroscedastic variances or inhomogeneous covariate effects. Online renewable quantile and expectile regression methods provide valuable tools for detecting such heteroscedasticity by…

Methodology · Statistics 2026-02-27 Wei Cao , Shanshan Wanga , Xiaoxue Hua

We are interested in renewable estimations and algorithms for nonparametric models with streaming data. In our method, the nonparametric function of interest is expressed through a functional depending on a weight function and a conditional…

Computation · Statistics 2023-11-27 Yan Chen , Shuixin Fang , Lu Lin

Streaming anomaly detection refers to the problem of detecting anomalous data samples in streams of data. This problem poses challenges that classical and deep anomaly detection methods are not designed to cope with, such as conceptual…

Machine Learning · Computer Science 2022-10-12 Joseph Gallego-Mejia , Oscar Bustos-Brinez , Fabio Gonzalez

Reinforcement learning algorithms have been widely used for decision-making tasks in various domains. However, the performance of these algorithms can be impacted by high variance and instability, particularly in environments with noise or…

Machine Learning · Statistics 2026-03-31 Saunak Kumar Panda , Tong Li , Ruiqi Liu , Yisha Xiang

We propose a distributed quadratic inference function framework to jointly estimate regression parameters from multiple potentially heterogeneous data sources with correlated vector outcomes. The primary goal of this joint integrative…

Methodology · Statistics 2022-07-28 Emily C. Hector , Peter X. -K. Song

We propose an online inference method for censored quantile regression with streaming data sets. A key strategy is to approximate the martingale-based unsmooth objective function with a quadratic loss function involving a well-justified…

Statistics Theory · Mathematics 2025-07-22 Yi Deng , Shuwei Li , Liuquan Sun , Baoxue Zhang

When an agent acquires new information, ideally it would immediately be capable of using that information to understand its environment. This is not possible using conventional deep neural networks, which suffer from catastrophic forgetting…

Machine Learning · Computer Science 2020-04-20 Tyler L. Hayes , Christopher Kanan

Traditional static functional data analysis is facing new challenges due to streaming data, where data constantly flow in. A major challenge is that storing such an ever-increasing amount of data in memory is nearly impossible. In addition,…

Methodology · Statistics 2023-10-11 Jinhan Xie , Enze Shi , Peijun Sang , Zuofeng Shang , Bei Jiang , Linglong Kong

We present statistical methods for big data arising from online analytical processing, where large amounts of data arrive in streams and require fast analysis without storage/access to the historical data. In particular, we develop…

Computation · Statistics 2018-06-13 Elizabeth D. Schifano , Jing Wu , Chun Wang , Jun Yan , Ming-Hui Chen

Federated learning has emerged as an essential paradigm for distributed multi-source data analysis under privacy concerns. Most existing federated learning methods focus on the ``static" datasets. However, in many real-world applications,…

Machine Learning · Statistics 2025-08-12 Jingmao Li , Yuanxing Chen , Shuangge Ma , Kuangnan Fang

We present an online algorithm for reconstructing a signal from a set of non-uniform samples. By representing the signal using compactly supported basis functions, we show how estimating the expansion coefficients using least-squares can be…

Signal Processing · Electrical Eng. & Systems 2022-08-04 Justin Romberg

Hansen (1982) proposed a class of "generalized method of moments" (GMMs) for estimating a vector of regression parameters from a set of score functions. Hansen established that, under certain regularity conditions, the estimator based on…

Statistics Theory · Mathematics 2007-06-13 Ramani S. Pilla , Catherine Loader

In the streaming data setting, where data arrive continuously or in frequent batches and there is no pre-determined amount of total data, Bayesian models can employ recursive updates, incorporating each new batch of data into the model…

Computation · Statistics 2024-12-09 Ian Taylor , Andee Kaplan , Brenda Betancourt

Learning with streaming data has attracted much attention during the past few years. Though most studies consider data stream with fixed features, in real practice the features may be evolvable. For example, features of data gathered by…

Machine Learning · Computer Science 2018-01-09 Bo-Jian Hou , Lijun Zhang , Zhi-Hua Zhou

Marginal model is a popular instrument for studying longitudinal data and cluster data. This paper investigates the estimator of marginal model with subgroup auxiliary information. To marginal model, we propose a new type of auxiliary…

Methodology · Statistics 2018-06-11 Jie He , Xiaogang Duan , Shumei Zhang , Hui Li

Quantile regression is an effective technique to quantify uncertainty, fit challenging underlying distributions, and often provide full probabilistic predictions through joint learnings over multiple quantile levels. A common drawback of…

Machine Learning · Computer Science 2022-02-24 Youngsuk Park , Danielle Maddix , François-Xavier Aubet , Kelvin Kan , Jan Gasthaus , Yuyang Wang

We develop a framework for efficient streaming reconstructions of turbulent velocity fluctuations from limited sensor measurements with the goal of enabling real-time applications. The reconstruction process is simplified by computing…

Fluid Dynamics · Physics 2023-06-29 Rahul Arun , H. Jane Bae , Beverley J. McKeon

One of the significant problems of streaming data classification is the occurrence of concept drift, consisting of the change of probabilistic characteristics of the classification task. This phenomenon destabilizes the performance of the…

Machine Learning · Computer Science 2021-12-21 Michał Woźniak , Paweł Zyblewski , Paweł Ksieniewicz
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