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Tensor factorizations have been widely used for the task of uncovering patterns in various domains. Often, the input is time-evolving, shifting the goal to tracking the evolution of the underlying patterns instead. To adapt to this more…

Machine Learning · Computer Science 2025-09-18 Christos Chatzis , Carla Schenker , Max Pfeffer , Evrim Acar

Characterizing time-evolving networks is a challenging task, but it is crucial for understanding the dynamic behavior of complex systems such as the brain. For instance, how spatial networks of functional connectivity in the brain evolve…

Applications · Statistics 2021-01-27 Marie Roald , Suchita Bhinge , Chunying Jia , Vince Calhoun , Tülay Adalı , Evrim Acar

Multiway datasets are commonly analyzed using unsupervised matrix and tensor factorization methods to reveal underlying patterns. Frequently, such datasets include timestamps and could correspond to, for example, health-related measurements…

Machine Learning · Computer Science 2025-02-27 Christos Chatzis , Carla Schenker , Jérémy E. Cohen , Evrim Acar

Tensor factorization has received increasing interest due to its intrinsic ability to capture latent factors in multi-dimensional data with many applications such as recommender systems and Electronic Health Records (EHR) mining. PARAFAC2…

Machine Learning · Computer Science 2022-08-10 Yifei Ren , Jian Lou , Li Xiong , Joyce C Ho , Xiaoqian Jiang , Sivasubramanium Bhavani

In exploratory tensor mining, a common problem is how to analyze a set of variables across a set of subjects whose observations do not align naturally. For example, when modeling medical features across a set of patients, the number and…

Machine Learning · Computer Science 2017-03-14 Ioakeim Perros , Evangelos E. Papalexakis , Fei Wang , Richard Vuduc , Elizabeth Searles , Michael Thompson , Jimeng Sun

In numerous settings, it is increasingly common to deal with longitudinal data organized as high-dimensional multi-dimensional arrays, also known as tensors. Within this framework, the time-continuous property of longitudinal data often…

Methodology · Statistics 2026-01-28 Lucas Sort , Laurent Le Brusquet , Arthur Tenenhaus

Given a time-evolving tensor with missing entries, how can we effectively factorize it for precisely predicting the missing entries? Tensor factorization has been extensively utilized for analyzing various multi-dimensional real-world data.…

Machine Learning · Computer Science 2020-12-17 Dawon Ahn , Jun-Gi Jang , U Kang

Representation learning on static graph-structured data has shown a significant impact on many real-world applications. However, less attention has been paid to the evolving nature of temporal networks, in which the edges are often changing…

Machine Learning · Computer Science 2021-08-24 Jing Ma , Qiuchen Zhang , Jian Lou , Li Xiong , Joyce C. Ho

Dynamic networks are increasingly being usedd to model real world datasets. A challenging task in their analysis is to detect and characterize clusters. It is useful for analyzing real-world data such as detecting evolving communities in…

Social and Information Networks · Computer Science 2017-02-28 Kun Tu , Bruno Ribeiro , Ananthram Swami , Don Towsley

Temporal causal representation learning is a powerful tool for uncovering complex patterns in observational studies, which are often represented as low-dimensional time series. However, in many real-world applications, data are…

Machine Learning · Computer Science 2025-07-21 Jianhong Chen , Meng Zhao , Mostafa Reisi Gahrooei , Xubo Yue

Given an irregular dense tensor, how can we efficiently analyze it? An irregular tensor is a collection of matrices whose columns have the same size and rows have different sizes from each other. PARAFAC2 decomposition is a fundamental tool…

Machine Learning · Computer Science 2022-06-03 Jun-Gi Jang , U Kang

Coupled matrix and tensor factorizations (CMTF) have emerged as an effective data fusion tool to jointly analyze data sets in the form of matrices and higher-order tensors. The PARAFAC2 model has shown to be a promising alternative to the…

Machine Learning · Computer Science 2023-06-05 Carla Schenker , Xiulin Wang , Evrim Acar

Tensor decomposition is a fundamental tool for analyzing multi-dimensional data by learning low-rank factors to represent high-order interactions. While recent works on temporal tensor decomposition have made significant progress by…

Machine Learning · Computer Science 2025-09-30 Panqi Chen , Lei Cheng , Jianlong Li , Weichang Li , Weiqing Liu , Jiang Bian , Shikai Fang

Time-varying parameter vector autoregression provides a flexible framework to capture structural changes within time series. However, when applied to high-dimensional data, this model encounters challenges of over-parametrization and…

Methodology · Statistics 2025-05-14 Yiyong Luo , Jim E. Griffin

Magnetic resonance imaging (MRI) nowadays serves as an important modality for diagnostic and therapeutic guidance in clinics. However, the {\it slow acquisition} process, the dynamic deformation of organs, as well as the need for {\it…

Machine Learning · Computer Science 2016-09-15 Morteza Mardani , Georgios B. Giannakis , Kamil Ugurbil

Most existing transformer based video instance segmentation methods extract per frame features independently, hence it is challenging to solve the appearance deformation problem. In this paper, we observe the temporal information is…

Computer Vision and Pattern Recognition · Computer Science 2023-01-24 Zhenghao Zhang , Fangtao Shao , Zuozhuo Dai , Siyu Zhu

Probabilistic Temporal Tensor Factorization (PTTF) is an effective algorithm to model the temporal tensor data. It leverages a time constraint to capture the evolving properties of tensor data. Nowadays the exploding dataset demands a large…

Machine Learning · Statistics 2016-11-14 Guangxi Li , Zenglin Xu , Linnan Wang , Jinmian Ye , Irwin King , Michael Lyu

Phenotyping electronic health records (EHR) focuses on defining meaningful patient groups (e.g., heart failure group and diabetes group) and identifying the temporal evolution of patients in those groups. Tensor factorization has been an…

Machine Learning · Computer Science 2019-11-15 Ardavan Afshar , Ioakeim Perros , Haesun Park , Christopher deFilippi , Xiaowei Yan , Walter Stewart , Joyce Ho , Jimeng Sun

Data fusion models based on Coupled Matrix and Tensor Factorizations (CMTF) have been effective tools for joint analysis of data from multiple sources. While the vast majority of CMTF models are based on the strictly multilinear…

Machine Learning · Computer Science 2025-06-17 Carla Schenker , Xiulin Wang , David Horner , Morten A. Rasmussen , Evrim Acar

As tensor-valued data become increasingly common in time series analysis, there is a growing need for flexible and interpretable models that can handle high-dimensional predictors and responses across multiple modes. We propose a unified…

Methodology · Statistics 2025-06-10 Shibo Li , Yao Zheng
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