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Functional data analysis has attracted considerable interest and is facing new challenges, one of which is the increasingly available data in a streaming manner. In this article we develop an online nonparametric method to dynamically…

Methodology · Statistics 2021-11-05 Ying Yang , Fang Yao

This paper develops an incremental learning algorithm based on quadratic inference function (QIF) to analyze streaming datasets with correlated outcomes such as longitudinal data and clustered data. We propose a renewable QIF (RenewQIF)…

Methodology · Statistics 2021-07-01 Lan Luo , Ling Zhou , Peter X. -K. Song

Attaining prototypical features to represent class distributions is well established in representation learning. However, learning prototypes online from streaming data proves a challenging endeavor as they rapidly become outdated, caused…

Computer Vision and Pattern Recognition · Computer Science 2021-10-20 Matthias De Lange , Tinne Tuytelaars

We introduce and study two new inferential challenges associated with the sequential detection of change in a high-dimensional mean vector. First, we seek a confidence interval for the changepoint, and second, we estimate the set of indices…

Methodology · Statistics 2023-03-03 Yudong Chen , Tengyao Wang , Richard J. Samworth

We introduce a nonparametric spectral density estimator for continuous-time and continuous-space processes measured at fully irregular locations. Our estimator is constructed using a weighted nonuniform Fourier sum whose weights yield a…

Methodology · Statistics 2025-10-07 Christopher J. Geoga , Paul G. Beckman

Classical optimization theory deals with fixed, time-invariant objective functions. However, time-varying optimization has emerged as an important subject for decision-making in dynamic environments. In this work, we study the problem of…

Machine Learning · Computer Science 2025-10-16 Muhammad Faraz Ul Abrar , Nicolò Michelusi , Erik G. Larsson

This paper proposes a new estimation technique for fitting parametric Gibbs point process models to a spatial point pattern dataset. The technique is a counterpart, for spatial point processes, of the variational estimators for Markov…

Statistics Theory · Mathematics 2013-07-24 Adrian Baddeley , David Dereudre

In theory, Bayesian nonparametric (BNP) models are well suited to streaming data scenarios due to their ability to adapt model complexity with the observed data. Unfortunately, such benefits have not been fully realized in practice;…

Machine Learning · Statistics 2015-04-22 Alex Tank , Nicholas J. Foti , Emily B. Fox

We consider the problem of online learning in the presence of distribution shifts that occur at an unknown rate and of unknown intensity. We derive a new Bayesian online inference approach to simultaneously infer these distribution shifts…

Machine Learning · Statistics 2021-10-28 Aodong Li , Alex Boyd , Padhraic Smyth , Stephan Mandt

Online streaming feature selection (OSFS), which conducts feature selection in an online manner, plays an important role in dealing with high-dimensional data. In many real applications such as intelligent healthcare platform, streaming…

Machine Learning · Computer Science 2022-08-04 Feilong Chen , Di Wu , Jie Yang , Yi He

Real-world data sets often exhibit temporal dynamics characterized by evolving data distributions. Disregarding this phenomenon, commonly referred to as concept drift, can significantly diminish a model's predictive accuracy. Furthermore,…

Machine Learning · Computer Science 2025-12-16 Mohammad Abu Shaira , Yunhe Feng , Heng Fan , Weishi Shi

We review the application of Statistical Mechanics methods to the study of online learning of a drifting concept in the limit of large systems. The model where a feed-forward network learns from examples generated by a time dependent…

Disordered Systems and Neural Networks · Physics 2007-05-23 Renato Vicente , Osame Kinouchi , Nestor Caticha

Dynamic spectrum access problem is an important problem that allows a wireless sub-network to use channels temporarily unoccupied by the parent network for minimizing the spectrum waste. Previous work has shown that the sequential channel…

Optimization and Control · Mathematics 2026-05-15 Keqin Liu , Qizhen Jia , Yiying Zhang , Zhi Ding

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

Online anomaly detection (OAD) plays a pivotal role in real-time analytics and decision-making for evolving data streams. However, existing methods often rely on costly retraining and rigid decision boundaries, limiting their ability to…

Machine Learning · Computer Science 2026-04-22 Jiaqi Zhu , Shaofeng Cai , Jie Chen , Fang Deng , Beng Chin Ooi , Wenqiao Zhang

We introduce methods for estimating the spectral density of a random field on a $d$-dimensional lattice from incomplete gridded data. Data are iteratively imputed onto an expanded lattice according to a model with a periodic covariance…

Methodology · Statistics 2019-08-12 Joseph Guinness

We show that both clustering and subspace embeddings can be performed in the streaming model with the same asymptotic efficiency as in the central/offline setting. For $(k, z)$-clustering in the streaming model, we achieve a number of words…

Data Structures and Algorithms · Computer Science 2025-04-24 Vincent Cohen-Addad , Liudeng Wang , David P. Woodruff , Samson Zhou

We study estimation problems in safety-critical applications with streaming data. Since estimation problems can be posed as optimization problems in the probability space, we devise a stochastic projected Wasserstein gradient flow that…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Nicolas Lanzetti , Efe C. Balta , Dominic Liao-McPherson , Florian Dörfler

We consider a task of scheduling a crawler to retrieve content from several sites with ephemeral content. A user typically loses interest in ephemeral content, like news or posts at social network groups, after several days or hours. Thus,…

Information Retrieval · Computer Science 2015-03-31 Konstantin Avrachenkov , Vivek Borkar

A natural goal when designing online learning algorithms for non-stationary environments is to bound the regret of the algorithm in terms of the temporal variation of the input sequence. Intuitively, when the variation is small, it should…

Machine Learning · Computer Science 2021-12-08 Gautam Goel , Babak Hassibi
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