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Sequential probabilistic inference from streaming observations requires modeling distributions over future trajectories as new observations arrive. Although diffusion and flow-matching models are effective at capturing high-dimensional,…

Machine Learning · Computer Science 2026-05-15 Yinan Huang , Hans Hao-Hsun Hsu , Junran Wang , Bo Dai , Pan Li

High-dimensional vector autoregression with measurement error is frequently encountered in a large variety of scientific and business applications. In this article, we study statistical inference of the transition matrix under this model.…

Methodology · Statistics 2020-09-18 Xiang Lyu , Jian Kang , Lexin Li

The Click-Through Rate (CTR) prediction task is critical in industrial recommender systems, where models are usually deployed on dynamic streaming data in practical applications. Such streaming data in real-world recommender systems face…

Information Retrieval · Computer Science 2023-07-17 Qi-Wei Wang , Hongyu Lu , Yu Chen , Da-Wei Zhou , De-Chuan Zhan , Ming Chen , Han-Jia Ye

Network datasets appear across a wide range of scientific fields, including biology, physics, and the social sciences. To enable data-driven discoveries from these networks, statistical inference techniques like estimation and hypothesis…

Methodology · Statistics 2026-02-19 Arpan Kumar , Minh Tang , Srijan Sengupta

We propose a distributed bootstrap method for simultaneous inference on high-dimensional massive data that are stored and processed with many machines. The method produces an $\ell_\infty$-norm confidence region based on a…

Methodology · Statistics 2022-06-15 Yang Yu , Shih-Kang Chao , Guang Cheng

Irregular functional data in which densely sampled curves are observed over different ranges pose a challenge for modeling and inference, and sensitivity to outlier curves is a concern in applications. Motivated by applications in…

Methodology · Statistics 2021-05-14 Yeonjoo Park , Xiaohui Chen , Douglas G. Simpson

Asymptotic inference using functional principal component regression (FPCR) has long been considered difficult, largely because, upon any scalar scaling, the FPCR estimator fails to satisfy a central limit theorem, leading to the prevailing…

Statistics Theory · Mathematics 2026-03-16 Hyemin Yeon

The existing theory of penalized quantile regression for longitudinal data has focused primarily on point estimation. In this work, we investigate statistical inference. We propose a wild residual bootstrap procedure and show that it is…

Econometrics · Economics 2022-05-10 Carlos Lamarche , Thomas Parker

With the fast development of big data, learning the optimal decision rule by recursively updating it and making online decisions has been easier than before. We study the online statistical inference of model parameters in a contextual…

Machine Learning · Statistics 2026-01-22 Xiangyu Chang , Xi Chen , Zehua Lai , He Li , Zhihong Liu , Yichen Zhang

Big Data streams are being generated in a faster, bigger, and more commonplace. In this scenario, Hoeffding Trees are an established method for classification. Several extensions exist, including high-performing ensemble setups such as…

Machine Learning · Computer Science 2015-11-04 Diego Marrón , Jesse Read , Albert Bifet , Nacho Navarro

Contamination of covariates by measurement error is a classical problem in multivariate regression, where it is well known that failing to account for this contamination can result in substantial bias in the parameter estimators. The nature…

Methodology · Statistics 2017-12-13 Anirvan Chakraborty , Victor M. Panaretos

We consider functional linear regression models where functional outcomes are associated with scalar predictors by coefficient functions with shape constraints, such as monotonicity and convexity, that apply to sub-domains of interest. To…

Methodology · Statistics 2025-05-09 Kyunghee Han , Yeonjoo Park , Soo-Young Kim

The rapid growth of online network platforms generates large-scale network data and it poses great challenges for statistical analysis using the spatial autoregression (SAR) model. In this work, we develop a novel distributed estimation and…

Computation · Statistics 2023-11-29 Yimeng Ren , Zhe Li , Xuening Zhu , Yuan Gao , Hansheng Wang

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

We propose a strategy for computing the isotonic least-squares estimate of a monotone function in a general regression setting where the data are distributed across different servers and the observations across servers, though independent,…

Statistics Theory · Mathematics 2018-06-25 Moulinath Banerjee , Cecile Durot

Binaural rendering aims to synthesize binaural audio that mimics natural hearing based on a mono audio and the locations of the speaker and listener. Although many methods have been proposed to solve this problem, they struggle with…

A streaming model is one where data items arrive over long period of time, either one item at a time or in bursts. Typical tasks include computing various statistics over a sliding window of some fixed time-horizon. What makes the streaming…

Data Structures and Algorithms · Computer Science 2008-04-14 Vladimir Braverman , Rafail Ostrovsky , Carlo Zaniolo

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

The amount of data in our society has been exploding in the era of big data today. In this paper, we address several open challenges of big data stream classification, including high volume, high velocity, high dimensionality, high…

Machine Learning · Computer Science 2015-07-28 Dayong Wang , Pengcheng Wu , Peilin Zhao , Steven C. H. Hoi

Neuroscience has recently made much progress, expanding the complexity of both neural-activity measurements and brain-computational models. However, we lack robust methods for connecting theory and experiment by evaluating our new big…

Quantitative Methods · Quantitative Biology 2023-07-06 Heiko H. Schütt , Alexander D. Kipnis , Jörn Diedrichsen , Nikolaus Kriegeskorte