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The extraction of spatio-temporal coherence in high-dimensional, chaotic, non-linear dynamical systems, such as turbulent flows, remains a fundamental challenge in physics, mathematics and engineering. In this work, we employ Shannon…

Fluid Dynamics · Physics 2026-03-03 Daniele Massaro , Saleh Rezaeiravesh , Philipp Schlatter

Discovering causal structures among latent factors from observed data is a particularly challenging problem. Despite some efforts for this problem, existing methods focus on the single-domain data only. In this paper, we propose…

Machine Learning · Computer Science 2022-04-26 Yan Zeng , Shohei Shimizu , Ruichu Cai , Feng Xie , Michio Yamamoto , Zhifeng Hao

We propose tensor time series imputation when the missing pattern in the tensor data can be general, as long as any two data positions along a tensor fibre are both observed for enough time points. The method is based on a tensor time…

Statistics Theory · Mathematics 2024-09-17 Zetai Cen , Clifford Lam

We tackle the challenge of estimating grouping structures and factor loadings in asset pricing models, where traditional regressions struggle due to sparse data and high noise. Existing approaches, such as those using fused penalties and…

Methodology · Statistics 2025-12-30 Liyuan Cui , Guanhao Feng , Yuefeng Han , Jiayan Li

The bulk of causal inference studies rule out the presence of interference between units. However, in many real-world scenarios, units are interconnected by social, physical, or virtual ties, and the effect of the treatment can spill from…

Methodology · Statistics 2023-11-03 Falco J. Bargagli-Stoffi , Costanza Tortù , Laura Forastiere

Adapting to latent confounded shift remains a core challenge in modern AI. This setting is driven by hidden variables that induce spurious correlations between inputs and outputs during training, leading models to rely on non-causal…

Machine Learning · Computer Science 2026-05-14 Jialin Yu , Yuxiang Zhou , Haoxuan Li , Junchi Yu , Mengyue Yang , Yulan He , Nevin L. Zhang , Philip Torr , Ricardo Silva

Unobserved discrete data are ubiquitous in many scientific disciplines, and how to learn the causal structure of these latent variables is crucial for uncovering data patterns. Most studies focus on the linear latent variable model or…

Machine Learning · Computer Science 2024-06-12 Zhengming Chen , Ruichu Cai , Feng Xie , Jie Qiao , Anpeng Wu , Zijian Li , Zhifeng Hao , Kun Zhang

High-order clustering aims to classify objects in multiway datasets that are prevalent in various fields such as bioinformatics, recommendation systems, and social network analysis. Such data are often sparse and high-dimensional, posing…

Statistics Theory · Mathematics 2025-12-05 Ian Välimaa , Lasse Leskelä

The time series cluster kernel (TCK) provides a powerful tool for analysing multivariate time series subject to missing data. TCK is designed using an ensemble learning approach in which Bayesian mixture models form the base models. Because…

Machine Learning · Computer Science 2019-07-12 Karl Øyvind Mikalsen , Cristina Soguero-Ruiz , Filippo Maria Bianchi , Arthur Revhaug , Robert Jenssen

There is a need to build intelligence in operating machinery and use data analysis on monitored signals in order to quantify the health of the operating system and self-diagnose any initiations of fault. Built-in control procedures can…

Signal Processing · Electrical Eng. & Systems 2020-06-18 G. Zhang , A. R. Singer , N. Vlahopoulos

Low rank matrix and tensor completion problems are to recover the incomplete two and higher order data by using their low rank structures. The essential problem in the matrix and tensor completion problems is how to improve the efficiency.…

Optimization and Control · Mathematics 2024-08-23 Quan Yu , Xinzhen Zhang

Tucker decomposition is the cornerstone of modern machine learning on tensorial data analysis, which have attracted considerable attention for multiway feature extraction, compressive sensing, and tensor completion. The most challenging…

Machine Learning · Computer Science 2015-05-12 Qibin Zhao , Liqing Zhang , Andrzej Cichocki

This paper studies the covariance matrix estimation for high-dimensional time series within a new framework that combines low-rank factor and latent variable-specific cluster structures. The popular methods based on assuming the sparse…

Methodology · Statistics 2025-02-25 Dong Li , Xinghao Qiao , Cheng Yu

Click-Through Rate (CTR) prediction plays an important role in many industrial applications, and recently a lot of attention is paid to the deep interest models which use attention mechanism to capture user interests from historical…

Information Retrieval · Computer Science 2021-05-24 Keke Zhao , Xing Zhao , Qi Cao , Linjian Mo

With the fast development of Internet companies throughout the world, customer churn has become a serious concern. To better help the companies retain their customers, it is important to build a customer churn prediction model to identify…

Machine Learning · Computer Science 2018-02-28 Li Wang , Chaochao Chen , Jun Zhou , Xiaolong Li

Real-world spatio-temporal data is often incomplete or inaccurate due to various data loading delays. For example, a location-disease-time tensor of case counts can have multiple delayed updates of recent temporal slices for some locations…

Machine Learning · Computer Science 2021-05-13 Cheng Qian , Nikos Kargas , Cao Xiao , Lucas Glass , Nicholas Sidiropoulos , Jimeng Sun

Causal effect moderation investigates how the effect of interventions (or treatments) on outcome variables changes based on observed characteristics of individuals, known as potential effect moderators. With advances in data collection,…

Methodology · Statistics 2024-11-26 Soham Bakshi , Walter Dempsey , Snigdha Panigrahi

This paper is concerned with online targeted advertising on social networks. The main technical task we address is to estimate the activation probability for user pairs, which quantifies the influence one user may have on another towards…

Social and Information Networks · Computer Science 2025-01-28 Tsuyoshi Idé , Keerthiram Murugesan , Djallel Bouneffouf , Naoki Abe

Causal discovery between collections of time-series data can help diagnose causes of symptoms and hopefully prevent faults before they occur. However, reliable causal discovery can be very challenging, especially when the data acquisition…

Machine Learning · Computer Science 2023-01-12 Haonan Chen , Bo Yuan Chang , Mohamed A. Naiel , Georges Younes , Steven Wardell , Stan Kleinikkink , John S. Zelek

The goal of tensor completion is to recover a tensor from a subset of its entries, often by exploiting its low-rank property. Among several useful definitions of tensor rank, the low-tubal-rank was shown to give a valuable characterization…

Machine Learning · Computer Science 2022-10-18 Yicong He , George K. Atia