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We introduce a new consistency-based approach for defining and solving nonnegative/positive matrix and tensor completion problems. The novelty of the framework is that instead of artificially making the problem well-posed in the form of an…

Information Retrieval · Computer Science 2023-10-18 Tung Nguyen , Jeffrey Uhlmann

Tensor completion is a problem of filling the missing or unobserved entries of partially observed tensors. Due to the multidimensional character of tensors in describing complex datasets, tensor completion algorithms and their applications…

Machine Learning · Statistics 2018-05-04 Qingquan Song , Hancheng Ge , James Caverlee , Xia Hu

This paper studies the prediction task of tensor-on-tensor regression in which both covariates and responses are multi-dimensional arrays (a.k.a., tensors) across time with arbitrary tensor order and data dimension. Existing methods either…

Machine Learning · Statistics 2024-12-23 Guanhao Zhou , Yuefeng Han , Xiufan Yu

Missing data is a widespread problem in tabular settings. Existing solutions range from simple averaging to complex generative adversarial networks, but due to each method's large variance in performance across real-world domains and…

Machine Learning · Computer Science 2026-02-18 Jacob Feitelberg , Dwaipayan Saha , Kyuseong Choi , Zaid Ahmad , Anish Agarwal , Raaz Dwivedi

This paper proposes a novel formulation of the tensor completion problem to impute missing entries of data represented by tensors. The formulation is introduced in terms of tensor train (TT) rank which can effectively capture global…

Numerical Analysis · Computer Science 2016-01-07 Ho N. Phien , Hoang D. Tuan , Johann A. Bengua , Minh N. Do

Tensor completion is a technique of filling missing elements of the incomplete data tensors. It being actively studied based on the convex optimization scheme such as nuclear-norm minimization. When given data tensors include some noises,…

Computer Vision and Pattern Recognition · Computer Science 2018-01-11 Tatsuya Yokota , Hidekata Hontani

Tensor completion plays a crucial role in applications such as recommender systems and medical imaging, where data are often highly incomplete. While extensive prior work has addressed tensor completion with data missingness, most assume…

Methodology · Statistics 2025-09-10 Maoyu Zhang , Biao Cai , Will Wei Sun , Jingfei Zhang

Data imputation and data generation have important applications for many domains, like healthcare and finance, where incomplete or missing data can hinder accurate analysis and decision-making. Diffusion models have emerged as powerful…

Machine Learning · Computer Science 2025-06-10 Mario Villaizán-Vallelado , Matteo Salvatori , Carlos Segura , Ioannis Arapakis

Modern inference and learning often hinge on identifying low-dimensional structures that approximate large scale data. Subspace clustering achieves this through a union of linear subspaces. However, in contemporary applications data is…

Machine Learning · Computer Science 2018-08-03 Daniel L. Pimentel-Alarcón , Usman Mahmood

This article investigates the problem of noisy low-rank matrix completion with a shared factor structure, leveraging the auxiliary information from the missing indicator matrix to enhance prediction accuracy. Despite decades of development…

Methodology · Statistics 2025-04-08 Yuanhong A , Xinyan Fan , Bingyi Jing , Bo Zhang

Firms earning prediction plays a vital role in investment decisions, dividends expectation, and share price. It often involves multiple tensor-compatible datasets with non-linear multi-way relationships, spatiotemporal structures, and…

Machine Learning · Computer Science 2021-09-07 Ajim Uddin , Dan Zhou , Xinyuan Tao , Chia-Ching Chou , Dantong Yu

Cross-sectional stock ranking is a fundamental task in quantitative investment, relying on both temporal modeling of individual stocks and the capture of inter-stock dependencies. While existing deep learning models leverage graph-based…

Machine Learning · Computer Science 2026-04-23 Juntao Li , Liang Zhang

Regular medical records are useful for medical practitioners to analyze and monitor patient health status especially for those with chronic disease, but such records are usually incomplete due to unpunctuality and absence of patients. In…

Time series prediction has been a long-standing research topic and an essential application in many domains. Modern time series collected from sensor networks (e.g., energy consumption and traffic flow) are often large-scale and incomplete…

Machine Learning · Statistics 2020-06-19 Xinyu Chen , Lijun Sun

Big data and the use of advanced technologies are relevant topics in the financial market. In this context, complex networks became extremely useful in describing the structure of complex financial systems. In particular, the time evolution…

Physics and Society · Physics 2022-04-15 Paolo Bartesaghi , Gian Paolo Clemente , Rosanna Grassi

This work focuses on designing a pipeline for the prediction of bankruptcy. The presence of missing values, high dimensional data, and highly class-imbalance databases are the major challenges in the said task. A new method for missing data…

Machine Learning · Computer Science 2024-04-02 Debarati Chakraborty , Ravi Ranjan

Joint analysis of data from multiple sources has the potential to improve our understanding of the underlying structures in complex data sets. For instance, in restaurant recommendation systems, recommendations can be based on rating…

Numerical Analysis · Mathematics 2015-03-19 Evrim Acar , Tamara G. Kolda , Daniel M. Dunlavy

Tabular data builds the basis for a wide range of applications, yet real-world datasets are frequently incomplete due to collection errors, privacy restrictions, or sensor failures. As missing values degrade the performance or hinder the…

Mortgage risk assessment traditionally relies on structured financial data, which is often proprietary, confidential, and costly. In this study, we propose a novel multimodal deep learning framework that uses cost-free, publicly available,…

Computational Engineering, Finance, and Science · Computer Science 2025-10-28 Mahsa Tavakoli , Rohitash Chandra , Cristian Bravo

In recent years, there have been an increasing number of applications of tensor completion based on the tensor train (TT) format because of its efficiency and effectiveness in dealing with higher-order tensor data. However, existing tensor…

Computer Vision and Pattern Recognition · Computer Science 2022-01-25 Yang Zhang , Yao Wang , Zhi Han , Xi'ai Chen , Yandong Tang